Aquifer Thermal Energy Storage'

Size: px
Start display at page:

Download "Aquifer Thermal Energy Storage'"

Transcription

1 WATER RESOURCES RESEARCH, VOL. 19, NO. 4, PAGES , AUGUST 1983 Aqufer Thermal Energy Strage' An Attempt t Cunter Free Thermal Cnvectn F. J. MOLZ, J. G. MELVLLE, O. GOVEN, AND A.D. PARR 1 Cvl Engneerng Department, Auburn Unversty n prevus Aqufer Thermal Energy Strage (ATES) experments, apprecable free thermal cnvectn was bserved. n an attempt t cunter the detrmental effects f cnvectn, a dual recvery well system was cnstructed at the Mble ste and a thrd njectn-strage-recvery cycle perfrmed. Usng a partally penetratng well, cycle 3-3 njectn began n Aprl 7, A ttal f 56;680 m 3 f 79øC water were njected. After 57 days f strage, prductn began wth a dual recvery well system. Due t the dmnatng effect f nnhmgenetes, the dual well system dd nt wrk partcularly well, and a recvery factr f 0.42 was acheved. The degree f aqufer hetergenety at the lcatn f the present experments was nt apparent durng prevus experments at a lcatn nly 109 m away, althugh pumpng tests ndcated smlar values f transmssvty. Therefre aqufers wth the same transmssvty can behave qute dfferently n a thermal sense. Heat cnductn t the upper aqutard was a majr energy lss mechansm. Water sample analyses ndcated that there were n mprtant changes n the chemcal cnsttuents durng the thrd set f experments. There was a 19% ncrease n ttal dsslved slds. At the end f njectn, the land surface near the njectn well had rsen 1.39 cm wth respect t bench marks lcated 70 m away. NTRODUCTON Begnnng n 1975, Auburn Unversty cnducted a seres f aqufer thermal energy strage (ATES) experments n a cnfned aqufer near Mble, Alabama [Mlz et al., 1978, 1979, 1981]. The bjectves f these experments were t demnstrate the techncal feasblty f the ATES cncept, t dentfy and reslve nherent peratnal prblems, and t acqure a data base fr develpng and testng mathematcal mdels. Fr the mst part, these bjectves have been met. ATES s techncally feasble at the Mble ste, and nherent peratnal prblems that were encuntered have been largely reslved [Mlz et al., 1983; Parr et al., 1983]. The cllected data have served as a partal bass fr testng several mathematcal mdels f varyng degrees f cmplexty, and the resultng studes have prved t be llumnatng [Papadpuls and Larsn, 1978; Tsang et al., 1981; Sauty et al., 1982; Dughty et al., 1982; Sykes et al., 1982; Buscheck et al., 1983]. The mst recent feld experments (thrd set) were based n the gemetry shwn n Fgure 1 and cnssted f three njectn-strage-recvery cycles f 3 mnths, 7.3 mnths, and 8 mnths duratn respectvely. Durng cycle 3-1, 25,402 m 3 f water were njected at an average temperature f 58.5øC. After strage and recvery, ths was fllwed by cycle 3-2 njectn f 58,063 m 3 at an average temperature f 81øC. Bth f these cycles are descrbed n detal by Mlz et al. [1983] and smulated by Buscheck et al. [1983] usng a cmputer mdel called PT. A summary f all three sets f experments perfrmed at the Mble ste s presented n Table 1. Durng the strage phase f cycle 3-1, t became apparent that a relatvely large amunt f free thermal cnvectn was ccurrng n the cnfned aqufer. Such a phenmenn was nt bserved t a sgnfcant extent durng cycles 2-1 and 2-2, Nw at the Department f Cvl Engneerng, Unversty f Kansas. Cpyrght 1983 by the Amercan Gephyscal Unn. Paper number 3W /83/003 W whch tk place n a dfferent strage zne [Mlz et al., 1979, 1981; Sykes et al., 1982]. CnvectOn leads t thermal stratfcatn n the strage aqufer (relatvely ht n tp and cld n the bttm) whch causes mxng f ht and cld water durng recvery. Thermal lsses by cnductn nt the upper aqutard are maxmzed als. Bth effects act t lwer the recvery factr. At the hgher njectn temperature (81øC) f cycle 3-2, free thermal cnvectn was mre prnunced and the ntal recvery temperature was nly 55.1øC. By 2 weeks nt the prductn perd, water abve 45øC had mgrated t the tp half f the strage aqufer. At ths tme t was decded t mdfy the recvery well n an attempt t mprve energy recvery. The bttm half f the well was flled wth sand and a fgure k packer was placed abve the sand. After ths mdfcatn was cmplete, pumpng resumed, and ultmately the recvery factr was f the mdfcatn had nt been made, t s estmated that the recvery factr wuld have been 0.40 [Mlz et al., 1983]. After cnsderatn f the free thermal cnvectn prblem and ts negatve effect n recvery temperature, t was cncluded that a dual recvery well system mght result n mprved energy recvery. The tw wells wuld be lcated as clse tgether as pssble, wth ne well screened n the upper half f the strage aqufer and the ther screened n the lwer half. Upn ntatn f recvery pumpng, bth wells wuld be pumped smultaneusly. n a thermally stratfed and hmgeneus strage aqufer ths wuld mantan radal flw apprxmately, wth clder water enterng the lwer screen and warmer water enterng the upper screen. The clder water culd then be renjected r wasted at an apprprate lcatn. The effect f nnhmgenetes, whch we knw exst at the Mble ste, cannt be predcted n detal but wuld prbably act t reduce the effectveness f a dual well system. At the Mble ste, cnstructn f a dual recvery well system was cmpleted n Aprl 1, 1982, and cycle 3-3 njectn began n Aprl 7. The tw majr bjectves f ths paper are t reprt the resultng cycle 3-3 data and t dscuss the effectveness f the dual recvery well system. A thrd 922

2 MOLZ ET AL.' AQUFER THERMAL ENERGY STORAGE 923 T T +AT LAND SURFACE SUPPLY WELL WELL UNCONFNED AQUFER / / / / / / / /CONFNNG LAYER 'l '-- CONFNED AQUFER -.40M ---20M _.ll //// 11 ß 244 M (800 FT) ll Jll Fg. 1. Dagram f the subsurface gemetry and dublet well system at the Mble feld ste. bjectve s t cmpare sme f the results wth thse f prevus cycles and prevus experments. DESCRPTON OF EXPERMENTS The prject ste s lcated n a sl brrw area at the Barry Steam Plant f the Alabama Pwer Cmpany, abut 32 km nrth f Mble, Alabama (see Mlz et al. [1978, 1983] fr detals). The strage aqufer s cmpsed f a medum sand f Quaternary age cntanng ntersttal slts and clays [Mlz et al., 1978]. n rder t cnduct cycles 3-1, 3-2, and 3-3, the well feld shwn n Fgure 2 was cnstructed. Fr cycle 3-3, well 2 was used fr njectn f heated water and fr prductn. Grundwater temperatures were nly recrded at 6 elevatns n wells 12, 11, 4, 5, and 6. There was n tracer njected durng cycle 3-3, but heads were recrded n each head bservatn well. Land elevatn changes and grundwater chemstry data were recrded als. Wells 2 and R1 cnsttute the dual recvery well system shwn schematcally n Fgure 3. Durng recvery 2 s called the prductn well and R1 s called the rejectn well. The wells are separated hrzntally by 1.8 m, wth 2 screened n the tp 9.1 m f the strage aqufer. The rejectn well screen s 9.1 m n length als and begns 1.5 m belw the bttm f the upper screen. Cycle 3-3 njectn began n Aprl 7, 1982 and cntnued ntermttently untl July 14, 1982 when a ttal f 56,680 m 3 f water had been njected. The average njectn temperature was 79øC. Shwn n Fgures 4 and 5 are the cumulatve njectn vlume and the njectn temperature as functns f tme, respectvely. njectn prceeded smthly except fr falure f a fuel pump (large hrzntal segment n Fgure 4) at abut 1000 hurs nt the experment. A 52-day strage perd ended n September 9, 1982, and prductn pumpng wth the dual recvery system began. Plts f cumulatve prductn and rejectn vlumes versus tme are shwn n Fgures 6 and 7, respectvely. Recvery pumpng was ffcally ended n Nvember 16, At ths tme 64,140 m 3 f water had been prduced and 19,300 m 3 rejected. At regular ntervals durng cycle 3-3, careful level measurements were made s that data culd cntnue t be btaned n land surface elevatn changes caused by ATES [Mlz et al., 1981]. As descrbed n Mlz [1983], tw reference pads, tw measurement pads, and ne bservatn pad were cnstructed f renfrced cncrete wth surveyng markers embedded n the center f each. A level was placed n the bservatn pad, and frm ths lcatn relatve elevatns f the markers n the reference and measurement pads were recrded. RESULTS AND DSCUSSON OF CYCLE 3-3 The temperature hstry f the prductn and rejectn wells durng recvery pumpng s shwn n Fgure 8. After a few mnutes f pumpng the prductn temperature stablzed at 51.5øC, whch s well belw the average njectn temperature f 79øC. t was sn dscvered that varatns n the rejectn pumpng rate had very lttle effect n the prductn temperature. Evdently, the nnhmgenety n the strage aqufer was exertng a dmnant nfluence n the velcty dstrbutn. Further evdence fr the sgnfcant effect f hetergeneus and temperature-dependent hydraulc cnductvty n the strage aqufer can be btaned by examnng the vertcal temperature dstrbutn curve b- TABLE 1. Summary f Sx njectn-strage-recvery Experments Perfrmed at the Mble Ste Over the Past Seven Years Cycle njectn njectn njectn Strage Recvery Duratn, Vlume, Temperature, Duratn, Duratn, Recvery days m 3 øc days days Factr , , , , ' 58, , The recvery duratn ndcated resulted n recvery vlume equalng njectn vlume. *27 days f early dwn tme were remved t facltate cmparsn.

3 , 924 MOLZ ET AL.' AQUFER THERMAL ENERGY STORAGE Flter Sl : Bler, $21 $20 ' XO3 ' t Temperature e Tracer Supply njectn Rejectn )8 09 Fg. 2. Plan vew f the wellfeld at the Mble ste shwng the dfferent types f wells., taned frm the 15-m bservatn well (well 4) and shwn n Fgure 9. At varus tmes durng prductn the average temperature n the upper 50% t 60% f the aqufer s wthn a degree r tw f the prductn temperature. Hwever, the average temperature n the bttm half f the aqufer s 10øC t 12øC belw the bserved rejectn temperature. Ths data mples a preferental flw n the upper half f the aqufer, at least wthn a 15-m radus f the prductn well. Such a flw wuld be nduced by the hgh ntrnsc perme- R1 CASNG m' xxx w, G ablty zne smewhere near the center f the aqufer and a temperature-nduced permeablty ncrease (knematc vscsty f water decreases by 50% between 30øC and 70øC) due t htter water n the upper part f the aqufer, sme f whch remaned after cycle 3-2. The magntude f a temperature-nduced permeablty change s cmparable t the ntrnsc permeablty dfferences selected by Buscheck et al. [1983] n ther smulatns f cycles 3-1 and 3-2. The prevusly mentned relatnshp between average aqufer temperature, prductn temperature, and rejectn temperature held even when the prductn pumpng rate was fve tmes greater than the rejectn rate. Pumpng the rejectn well at a hgher rate relatve t the prductn well resulted n smply rasng the rejectn temperature wth lttle r n effect n the prductn temperature. t appears, therefre, that bth wells are pullng water frm the mddle t upper prtn f the strage aqufer where a hgh ntrnsc permeablty zne exsts and where the httest water resdes. Relatvely lttle water s mvng hrzntally thrugh the bttm thrd f the aqufer n the vcnty f the rejectn well where the ntrnsc permeablty s lwer and the water vscsty s hgher due t lwer temperatures. --m- TUR81Nœ VERTCAL 60- ' ' V//11111/ 50- CONF NED AQUFER ////////////////// 4 "Dw.Sm T '. 9. ra [ ' ' m ) / //11/11/////1///////// ;/ 9.1m m Fg. 3. Schematc dagram f the dual recvery well system cn- structed at the Mble ste. x O O O 260 TME ('x hrs.) Fg. 4. Cumulatve njectn vlume versus tme fr cycle 3-3. The large hrzntal segment was due t the unexpected falure f the bler fuel pump.

4 MOLZ ET AL..' AQUFER THERMAL ENERGY STORAGE OO 3O 8 2O <: D_ 4-10 >0, O 8' TME (101x hrs.) Fg. 5. njectn temperature versus tme fr cycle 3-3. An ndcatn f the gemetry f the hgh ntrnsc permeablty zne detected at the present strage lcatn may be btaned by examnng Fgures 10 and 11. Shwn n these fgures are frst arrval tmes f the thermal frnt recrded n the temperature bservatn wells durng cycle 3-1. Fr each aqufer crss sectn the lcatns f the tw smallest arrval tmes n each bservatn well are cnnected t thse f neghbrng wells by straght lnes. The lne segments ndcate apprxmate bundares f a hgh permeablty zne near the mddle f the aqufer. Ths apprxmatn crrelates well wth the temperature dstrbutns shwn n Fgures 13 and 14 f Mlz et al. [1983]. t supprts als the three layer aqufer permeablty mdel used by Buscheck et al. [1983] n ther cmputer smulatns f cycles 3-1 and 3-2. t s mprtant t nte that the degree f aqufer nnhmgenety ndcated by the present experments was nt bserved n experment set 2 (cycles 2-1 and 2-2) whch utlzed a zne f the aqufer apprxmately 109 m frm the present strage zne. Examnatn f Fgures 7, 8, and 9 f Mlz et al. [ 1979] ndcates a relatvely symmetrc temperature dstrbutn. Fr cmparsn an average radal sectn f the stherms at the end f cycle 2-1 njectn s shwn n Fgure ' 4,,0 ' : 0 ' 560 TME (10hr.) Fg. 7. Cumulatve rejectn pumpng vlume as a functn f tme. 12 alng wth an sthermal plt fr a vertcal aqufer crss sectn at the end f cycle 3-1 njectn. The central fngerng apparent at the new lcatn durng cycle 3-1 was nt bserved durng cycle 2-1 at the ld lcatn. Whle stll playng an mprtant rle, the effects f the nnhmgenety n the temperature stherms was nt as apparent durng cycles 3-2 [Mlz et al., 1983] and 3-3 (Fgure 13) because the relatvely strng buyancy flw at the hgher njectn temperatures smears ut the bvus effect f the nnhmgenety [Buscheck et al., 1983]. The nferred dfferences n strage aqufer hydraulc prpertes at tw lcatns nly 109 m apart have mprtant mplcatns fr testng prgrams whse purpse s t select aqufers sutable fr ATES. Often t may nt be suffcent t smply measure average hrzntal hydraulc cnductvty, whch s what results (we hpe!) frm standard pumpng tests. t s nt easy t detect layerng n uncnsldated meda wthut varable screen length pumpng tests r tracer Ll 55- n- l,- LL Z 45 LL 4O Z Z F , TME ( 10xhr. ) Fg. 6. Cycle 3-3 cumulatve prductn pumpng vlume as a functn f tme. a_ TMr (hrs,'10) Fg. 8. Prductn temperature (curve A) and rejectn temperature (curve B) versus tme fr cycle 3-3.

5 926 MOLZ ET AL.' AQUFER THERMAL ENERGY STORAGE E 12 [_. 8 [// 9/28/82 ) ),.,..., 9/9/ '0 TEMPERATURE (øc) Fg. 9. Vertcal temperature prfles at the 15-m bservatn well durng the frst 3 weeks f recvery pumpng. tests, and these prcedures can be qute tedus. Smulatn mdels are useful but nly after gd data have been btaned. t may be that mderate-scale ht water njectn testng wll be an ecnmcal prcedure fr makng an verall and fnal evaluatn f an aqufer's sutablty fr ATES. Shwn n Fgure 13 are radal sthermal plts f the aqufer temperature dstrbutn at the end f njectn and strage respectvely. There s clear vsual evdence f free thermal cnvectn durng the strage perd. Based n a mre detaled versn f Fgure 13 and a smple numercal ntegratn scheme, t s pssble t estmate the percentage f stred heat that was lst due t cnvectn and cnduc- tn frm varus znes f the aqufer durng the strage perd. The result ndcated that 45% f the thermal energy stred n a cylnder f aqufer cncentrc wth the njectn well and f m radus was lst frm that zne durng strage. An estmate based n average njectn temperature and ntal prductn temperature alne wuld have been 47% [[(79-20) - ( )]/(79-20)]. Ths energy lss s qute large and lttle r nthng can be dne durng strage t cunteract t. Heat lsses n smlar aqufer vlumes f m radus and 45.7-m radus were estmated t be 32% and 22%, respectvely. Obvusly, free thermal cnvectn ccurred durng cycle 3-3 just as t dd durng cycle 3-2. The dual well recvery system was benefcal but nt hghly effectve n cunteract- ng negatve cnvectn effects. Shwn n Fgure 14 are plts f recvery fractn versus cumulatve recvery vlume wth (curve A) and wthut (curve B) the dual well system. (T get curve B we smply cmbned the heat flws and pumpng vlumes frm the prductn and rejectn wells as f they were a sngle well.) Wth the dual well system peratng, we btaned a recvery factr f A sngle prductn well wuld have yelded a recvery factr f abut Further understandng f the therm-hydrdynamcs at the Mble ste may be btaned by examnng the radal stherm plts at the end f the varus recvery perds (defned as tme when water vlumes pumped n and ut are equal) dsplayed n Fgure 15. These plts shw the prgressve effects f free thermal cnvectn and emphasze the rle played by the hgh ntrnsc permeablty zne near the center f the aqufer. At the end f cycle 3-1 recvery, there s a large dfference n temperature between the bttm and tp f the strage aqufer. Fr the hmgeneus case wthut buyancy flw, the httest water wuld be lcated symmetrcally alng the upper and lwer aqutards. Even cycle 3-1 wth a 58.5øC njectn temperature devates dramatcally frm ths pattern, wth 40øC water lcated at the very tp f the aqufer and 22øC water at the bttm. Cycle 3-2 recvery ended wth a prductn temperature f 39.5øC. At ths tme the temperature n the upper thrd f the aqufer vared frm 50øC t abut 62øC at the tp. The temperature near the aqufer bttm was nly 2 r 3 degrees abve ambent (20øC). Due t the hgh-permeablty zne near the aqufer center, a relatvely steep temperature gradent f abut 9øC/m s created at the tp f the mddle thrd f the strage aqufer. Presum- ably, ths s due t a relatvely hgh dscharge f cler water carryng away heat frm the upper thrd f the aqufer. By the end f cycle 3-3 recvery, the aqufer s almst perfectly stratfed thermally wthn a 45-m radus f the njectn well. # ft NF 10 L 36 )3F [ O ft -' #4 5.NF ' ' ' NF _. NF _ O RADUS(ft.) Fg. 10. Scale dagram f a west t east vertcal aqufer prfle shwng frst thermal arrval tmes (n hurs) at the varus thermstrs durng cycle 3-1 njectn. The early arrval tmes, mstly near the aqufer center, ndcate a hgh ntrnsc permeablty zne. The ntatn 'NF' means that a defnte thermal frnt dd nt arrve. The dashed lnes ndcate the upper and lwer aqufer bundares.

6 MOLZ ET AL' AQUFER THERMAL ENERGY STORAGE 927 #8 7 2 #1 # ff , "" ' ' ,745 NF 100 do ' 0 0 do 100 RADUS (ft.) Fg. 11. Scale dagram f a suth t nrth vertcal aqufer prfle shwng frst thermal arrval tmes (n hurs) the varus thermstrs durng cycle 3-1 njectn. Thearly arrval tmes, mstly near the aqufer center, ndcate hgh ntrnsc permeablty zne. The ntatn NF means that a defnte thermal frnt dd nt arrve. The dashed lnes ndcate the upper and lwer aqufer bundares. The upper prtn f the aqufer s cler cmpared t cycle equal t the ttal energy njectedurng the cycle. Due t the 3-2 because f the lnger strage perd and lwer njectn nteractn f buyancy flw and nnhmgenetes, heat temperature. Hwever, the steep temperature gradent zne cnductn nt the caprck thus emerges as a majr energy s stll evdent. lss mechansm at the Mble ste. Based n the temperature dstrbutns shwn n Fgure 15 Use f a partally penetratng njectn well durng cycle 3- and the measured njectn and recvery energes, t s 3 dd nt have a sgnfcant effect n the verall aqufer pssble t develp an energy budget fr the thrd set f temperature dstrbutn when cmpared t cycle 3-2, n experments. Ths budget, whch s lsted n Table 2, reflects whch a fully penetratng well was emplyed. Shwn n the grss energy dstrbutn and heat strage changes Fgure 13 are radal sthermal plts at the end f njectn thrughut the thrd set f experments. The mst nterestng fr cycles 3-2 and 3-3. A cmplete cmparsn cannt be fgures relate t heat strage n the aqutards. Prbably 95% made because f thermstr falures at hgher temperatures r mre f ths energy resdes n the upper aqutard, and by durng cycle 3-2. [Mlz et al., 1983]. Hwever, the 25øC and the end f cycle 3-3 recvery (.e., when the prductn plus 35øC stherms are qute smlar, ndcatng n grss dfferrejectn vlumes were equal t the njectn vlume) the ences wthn 50 m f the njectn well. Ths bservatn s cumulatve heat cntent ncrease f the caprck was nearly als cnsstent wth the prpsed hgh ntrnsc permeablty END OF 3-1 NJECTON 3 #2 ' 55 6 "-- 10m ---"1 Fg. 12. Plt f stherms n degrees Celsus n a vertcal aqufer crss sectn at thend f njectn fr cycles 2-1 and 3-1, respectvely. stherm 'fngerng' durng cycle 3-1 njectn suggests thexstence f a hgh permeablty zne. Lttle fngerng was bserved durng cycle 2-1 whch was cnducted at a dfferent lcatn n the same aqufer.

7 928 MOLZ ET AL.' AQUFER THERMAL ENERGY STORAGE RADAL SOTHERMS 40, 25 ; ',l ' - -- q ' END Of NJECTON (CYCLE 3-2) END OF PRODUCTON (CYCLE 3-1) 15.25m 30.5m 45.75m 2 WELL WELL WELL r NJECTON 15.25m 30.5m 45.75m WELL WELL WELL WELL ', -- ' END OF PRODUCTON (CYCLE 3-2) 65 ø 25ø END Of NJECTON (CYCLE 3-3) 6 END OF PRODUCTON ( CYCLE 3-3) Fg. 15. Plt f stherms n degrees Celsus n a vertcal aqufer crssectn at the end f prductn fr cycles 3-1, 3-2, and 3-3, respectvely. Numercal ntegratn f these fgures enabled us ' t estmate the quantty f njected energy remanng the aqufer END OF STORAGE (CYCLE 3-3) at the end f the varus prductn perds. Fg. 13. Plt f stherms n degrees Celsus n a vertcal aqufer crssectn at the end f njectn fr cycles 3-2 and 3-3. A smlar plt s gven fr the end f cycle 3-3 strage. The best verall measure f change s prbably the ttal dsslved slds (TDS), and the data n Table 2 ndcate a trend frm 274 t 284 t 299 mg/1. Thrughut mst f the zne. Flw frm bth the partally and fully penetratng experment, TDS at the njectn/prductn well was meanjectn wells wuld tend t fllw the hgh permeablty sured n a weekly bass. Durng cycle 3-1 the TDS averaged nnhmgenety. 280 mg/1. Ths average held fr 3-2 njectn, but durng At the end f cycle 3-3 njectn, t was decded t perfrm prductn the average TDS ncreased t 320 mg/1. Durng addtnal water chemstry analyses t determne f the cycle 3-3 njectn the average ncreased agan t 333 mg/1. flushng f heated water thrugh the strage aqufer had Mst lkely ths ncrease was due t mnr dsslutn f the caused changes n the cncentratns f varus dsslved aqufer matrx by the htter water durng cycles 3-2 and 3-3. materals. Accrdngly, samples were taken n July 12, 1982 Als, by cycle 3-2 recvery the ht water had been n frm wells S2 and 22. The water btaned frm well 22 was at cntact wth the aqufer matrx fr an extended perd f a temperature f 62øC and had been flushed thrugh the tme. strage zne durng cycle 3-2 and 3-3. That btaned frm S2 Land surface elevatn measurements were perfrmed was clser t a sample f the natve grundwater but stll durng the later part f cycle 3-3, and the results are shwn n subject t sme flushng. Analyses f bth samples alng Fgure 16. At the end f njectn, the relatve elevatn wth prevus measurements utlzng natve grundwater ncrease peaked at 1.39 cm and then began a steady fall are dsplayed n Table 3. Ths data supprts the cnclusn durng strage and recvery. The maxmum elevatn gradthat there were n majr changes n the chemcal cnsttu- ent between pads A and B ccurred at the end f cycle 3-2 ents f the grundwater durng the thrd set f experments. njectn and was The maxmum average gradent between pad A and the reference pads were at the end f cycle 3-3 njectn. Such elevatn changes are nt 0.60 neglgble, and ther ptental effect n fundatns wuld z have t be cnsdered, especally f an ATES system were beng desgned fr an urban envrnment. Dependng n 0.40 lcal stratgraphy, njectn temperature (assumed <100øC) and njectn vlume, elevatn changes 2 r 3 tmes greater than thse bserved at the Mble ste seem pssble SUMMARY AND CONCLUSONS RECOVERY VOLUME (m3x 10 3) Fg. 14. Cycle 3-3 energy recvery fractn as a functn f recvery vlume. Curve A represents the dual recvery well system, and curve B s the predcted result fr a sngle equvalent well. Ths paper deals prmarly wth the thrd njectn-stragerecvery cycle f the thrd set f aqufer stragexperments (cycle 3-3) t be cnducted by Auburn Unversty at the Mble, Alabama feld test faclty. Usng a partally penetratng well, cycle 3-3 njectn began n Aprl 7, By 98 days later a ttal f 56,680 m 3 f water at an average

8 MOLZ ET AL' AQUFER THERMAL ENERGY STORAGE 929 TABLE 2. Energy Summary f the Energy Budget fr the Thrd Set f Experments Energy Cumulatve Energy Left, J Energy Added, J njected, Recvered, Cycle J J Aqufer Aqutards Aqufer Aqutards X X x X x X x x x x x x x x x x x x 1012 The cumulatve energy left behnd n the aqufer was calculated by numercal ntegratn f the temperature dstrbutns shwn n Fgure 15. temperature f 79øC had been njected. After a 57-day strage perd, prductn began wth a dual recvery well system. The bjectve was t pull the htter water n the upper prtn f the strage aqufer nt the prductn well and the clder water n the bttm prtn nt the rejectn well. By varyng the pumpng rates f the tw wells, t was hped that a near-ptmum energy recvery frm a thermally stratfed aqufer culd be acheved. Shrtly after prductn began, t became bvus that the dual recvery well system was nt gng t wrk as well as had been ntended. The nadequate cntrl was due t the fllwng nteractng effects. 1. Durng njectn, much f the flw ccurred near the center f the aqufer whch caused sgnfcant lateral spreadng f the njected vlume. 2. Durng strage, thermal cnvectn n and abve the hgh permeablty zne was dramatc, causng ncreased lateral spreadng f the heat. 3. Ht water n the tp f the aqufer havng spread ver a large area, allwed fr maxmum cnductve heat lss t the upper cnfnng layer. 4. The selectve recvery system, althugh t s estmated t have ncreased the recvery factr frm 0.40 t 0.42, dd nt have a dramatc effect because the aqufer anstrpy and nnhmgenety cntrlled the velcty dstrbutn t a sgnfcant extent. Because f the abve phenmena, the ntal prductn temperature was $1.$øC, well belw the average njectn temperature f 79øC. Durng strage, apprxmately 45% f the thermal energy stred n a cylnder f aqufer f m radus was lst. The degree f aqufer nnhmgenety nferred at the lcatn f the present experments was nt apparent durng prevus experments at a lcatn nly 109 m away. Therefre aqufers wth the same transmssvty can behave qute dfferently n a thermal energy strage sense. Vertcal varatns f hrzntal hydraulc cnductvty are dtfcult t detect, and mderate-scale ht water njectn testng alng wth cmputer smulatn may be an ecnmcal prcedure fr makng an verall and fnal evaluatn f an aqufer's sutablty fr ATES. Chemcal analyses f water samples ver the curse f the Mble experments ndcated that there were n mprtant changes n the chemcal cnsttuents durng the thrd set f experments. Hwever, due t the flushng f heated water thrugh the system the ttal dsslved slds cntent ncreased frm 280 mg/l t 333 mg/1. At the end f 3-3 njectn the land surface near the njectn well had rsen 1.39 cm wth respect t bench marks lcated 70 m away. The average elevatn gradent was Dependng n lcal stratgraphy, njectn temperature (assumed <100øC), and njectn vlume, elevatn changes 2 r 3 tmes greater than thse bserved at the Mble ste seem pssble. t s safe t say that the varus experments at the Mble ste have demnstrated the techncal feasblty f lw b.l 1.2 <.d 1.1 Z 1.O Z.8 > ll.7 ß PAD PaD a B TME (WEEKS) Fg. 16. ncrease n land surface elevatn near the njectn well as a functn f tme. The elevatn was measured relatve t a benchmark apprxmately 70 m away. TABLE 3. Results f Chemcal Analyses Made at Varus Tmes Durng the ATES Experments at the Mble Ste Parameter Well S-2, Well 22, Well -l, July 12, July 12, June 20, ph Dsslved slds, mg/ Ca 2+, mg/l Mg 2+, mg/l 0 0 Alkalnty, mg/l as CaCO Hardness, mg/1 as CaCO Na +, mg/1 85 * 85 * 9.4 NH4 + N, mg/ NO3- N, mg/l Fe 3 +, mg/l <0.1 <0.1 <0.1 Mn 2+, mg/l <0.05 <0.05 SO42-, mg/l <1.0 <1.0 K +, mg/l OD, mg/ , mg/l Zn 2+, mg/l <0.1 <0.1 Cu+, mg/l <0.1 <0.1 S, mg/l Br, mg/l 10 * 9.5* <0.4 *Elevated levels due t NaBr tracer njectn durng cycles 3-1 and 3-2.

9 930 MOLZ ET AL..' AQUFER THERMAL ENERGY STORAGE temperature ATES but nt necessarly the ecnmc feasblty. Hwever, several applcatns f ATES technlgy currently underway n Canada, Denmark, Sweden, and ther lcatns n Eurpe wll sn cntrbute t reslutn f the ecnmc questn. Sme f the mre nterestng appraches nvlve the use f heat pump systems t extract heat frm warm aqufer water and prduce a useful temperature fr space heatng, water heatng, and ther applcatns. Wth the cmbned ad f feld tests and cmputer mdelng technques that have been perfected ver the past decade, t s nw relatvely straghtfrward t develp the ntal desgn f an ATES system. Hwever, the useful lfetme and lng-term mantenance csts are mre dffcult t defne. The mst subtle prblems are chemcal n nature. They result manly frm mxng waters havng dfferent temperature and chemcal prpertes (ph, n cncentratn, etc.) durng the njectn prcess. Ths wll ccur t sme degree even when the supply and njectn wells are lcated n the same aqufer. Deleterus gechemcal and/r clld chemcal effects can be mmedate and dramatc, serusly mparng njectn wthn a few days, r they can be f a very gradual, lng-term nature. Fr bvus reasns, the latter stuatn has receved the least amunt f study. Acknwledgments. Ths wrk was made pssble thrugh supprt f the U.S. Department f Energy and the Battelle Pacfc Nrthwest Labratres (subcntract B A-0, admnstered by the Auburn Unversfy Water Resurces Research nsttute). The Alabama Pwer Cmpany allwed us t cnduct the experment n ther land and als mantaned the rads leadng t the ste. Ths help s gratefully acknwledged. Feld engneers Mke T. Hpf and Davd A. Kng and graduate research assstants Rnald W. Falta, Jr., and Charles V. Camp perfrmed much f the feld wrk. Wthut ther cntrbutns ths paper wuld nt have been wrtten. n addtn, the wrters wuld lke t thank Rd Jenkns, Lance Bell, and Larry Benefeld, Asscate Prfessrs f Cvl Engneerng, Auburn Unversty, fr perfrmng the land surface elevatn and chemcal measurements reprted heren. Many frutful dscussns wth staff members f the Battelle Pacfc Nrthwest Labratry and the Lawrence-Berkeley Labratry are acknwledged als. REFERENCES Buscheck, T., C. Dughty and C. F. Tsang, Predctn and analyss f a feld experment n a mult-layered aqufer thermal energy strage system wth strng buyancy flw, submtted t Water Resur. Res., Dughty, C., G. Hellstrm, C. F. Tsang, and J. Claessn, A dmensnless parameter apprach t the thermal behavr f an aqufer thermal energy strage system, Water Resur. Res., 18, , Mlz, F. J., J. C. Warman, and T. E. Jnes, Aqufer strage f heated water, 1, A feld experment, Grund Water, 16, , Mlz, F. J., A.D. Parr, P. F. Andersen, V. D. Lucd, and J. C. Warman, Thermal energy strage n a cnfned aqufer: Expermental results, Water Resur. Res., 15, , Mlz, F. J., A.D. Parr, and P. F. Andersen, Thermal energy strage n a cnfned aqufer: secnd cycle, Water Resur. Res., 17, , Mlz, F. J., J. G. Melvlle, A.D. Parr, D. A. Kng, and M. T. Hpf, Aqufer thermal energy strage: A well dublet experment at ncreased temperatures, Water Resur. Res., 19, , Papadpuls, S.S., and S. P. Larsn, Aqufer strage f heated water, 2, Numercal smulatn f feld results, Grund Water, 16, , Parr, A.D., F. J. Mlz, and J. G. Melvlle, Aqufer testng fr thermal energy strage, Grund Water, 21, 22-35, Sauty, J.P., A. C. Grngarten, H. Fabrs, D. Thery, A. Menjz, and P. A. Landel, Sensble heat strage n aqufers, 2, Feld experments and cmparsn wth theretcal results, Water Resur. Res., 18, , Sykes, J. F., R. B. Lantz, S. B. Pahwa, and D. S. Ward, Numercal smulatn f thermal energy strage experment cnducted by Auburn Unversty, Grund Water, 20, , Tsang, C. F., T. Buscheck, and C. Dughty, Aqufer thermal energy strage: A numercal smulatn f Auburn Unversty feld experments, Water Resur. Res., 17, , O. Gven, J. G. Melvlle, and F. J. Mlz, Cvl Engneerng Department, Auburn Unversty, AL A.D. Parr, Department f Cvl Engneerng, Unversty f Kansas, Lawrence, KS (Receved January 31, 1983; revsed Aprl 21, 1983; accepted May 13, 1983.)

SIMULATION OF THREE PHASE THREE LEG TRANSFORMER BEHAVIOR UNDER DIFFERENT VOLTAGE SAG TYPES

SIMULATION OF THREE PHASE THREE LEG TRANSFORMER BEHAVIOR UNDER DIFFERENT VOLTAGE SAG TYPES SIMULATION OF THREE PHASE THREE LEG TRANSFORMER BEHAVIOR UNDER DIFFERENT VOLTAGE SAG TYPES Mhammadreza Dlatan Alreza Jallan Department f Electrcal Engneerng, Iran Unversty f scence & Technlgy (IUST) e-mal:

More information

Chapter 3, Solution 1C.

Chapter 3, Solution 1C. COSMOS: Cmplete Onlne Slutns Manual Organzatn System Chapter 3, Slutn C. (a If the lateral surfaces f the rd are nsulated, the heat transfer surface area f the cylndrcal rd s the bttm r the tp surface

More information

Chapter 7. Systems 7.1 INTRODUCTION 7.2 MATHEMATICAL MODELING OF LIQUID LEVEL SYSTEMS. Steady State Flow. A. Bazoune

Chapter 7. Systems 7.1 INTRODUCTION 7.2 MATHEMATICAL MODELING OF LIQUID LEVEL SYSTEMS. Steady State Flow. A. Bazoune Chapter 7 Flud Systems and Thermal Systems 7.1 INTODUCTION A. Bazune A flud system uses ne r mre fluds t acheve ts purpse. Dampers and shck absrbers are eamples f flud systems because they depend n the

More information

Transient Conduction: Spatial Effects and the Role of Analytical Solutions

Transient Conduction: Spatial Effects and the Role of Analytical Solutions Transent Cnductn: Spatal Effects and the Rle f Analytcal Slutns Slutn t the Heat Equatn fr a Plane Wall wth Symmetrcal Cnvectn Cndtns If the lumped capactance apprxmatn can nt be made, cnsderatn must be

More information

Lecture 12. Heat Exchangers. Heat Exchangers Chee 318 1

Lecture 12. Heat Exchangers. Heat Exchangers Chee 318 1 Lecture 2 Heat Exchangers Heat Exchangers Chee 38 Heat Exchangers A heat exchanger s used t exchange heat between tw fluds f dfferent temperatures whch are separated by a sld wall. Heat exchangers are

More information

Conduction Heat Transfer

Conduction Heat Transfer Cnductn Heat Transfer Practce prblems A steel ppe f cnductvty 5 W/m-K has nsde and utsde surface temperature f C and 6 C respectvely Fnd the heat flw rate per unt ppe length and flux per unt nsde and per

More information

Shell Stiffness for Diffe ent Modes

Shell Stiffness for Diffe ent Modes Engneerng Mem N 28 February 0 979 SUGGESTONS FOR THE DEFORMABLE SUBREFLECTOR Sebastan vn Herner Observatns wth the present expermental versn (Engneerng Dv nternal Reprt 09 July 978) have shwn that a defrmable

More information

Analytical Modeling of Natural Convection in Horizontal Annuli

Analytical Modeling of Natural Convection in Horizontal Annuli Analytcal Mdelng f Natural Cnvectn n Hrzntal Annul Peter Teertstra, M. Mchael Yvanvch, J. Rchard Culham Mcrelectrncs Heat Transfer Labratry Department f Mechancal Engneerng Unversty f Waterl Waterl, Ontar,

More information

Water vapour balance in a building moisture exposure for timber structures

Water vapour balance in a building moisture exposure for timber structures Jnt Wrkshp f COST Actns TU1 and E55 September 21-22 9, Ljubljana, Slvena Water vapur balance n a buldng msture expsure fr tmber structures Gerhard Fnk ETH Zurch, Swtzerland Jchen Köhler ETH Zurch, Swtzerland

More information

CHAPTER 3 ANALYSIS OF KY BOOST CONVERTER

CHAPTER 3 ANALYSIS OF KY BOOST CONVERTER 70 CHAPTER 3 ANALYSIS OF KY BOOST CONERTER 3.1 Intrductn The KY Bst Cnverter s a recent nventn made by K.I.Hwu et. al., (2007), (2009a), (2009b), (2009c), (2010) n the nn-slated DC DC cnverter segment,

More information

Wp/Lmin. Wn/Lmin 2.5V

Wp/Lmin. Wn/Lmin 2.5V UNIVERITY OF CALIFORNIA Cllege f Engneerng Department f Electrcal Engneerng and Cmputer cences Andre Vladmrescu Hmewrk #7 EEC Due Frday, Aprl 8 th, pm @ 0 Cry Prblem #.5V Wp/Lmn 0.0V Wp/Lmn n ut Wn/Lmn.5V

More information

A Proposal of Heating Load Calculation considering Stack Effect in High-rise Buildings

A Proposal of Heating Load Calculation considering Stack Effect in High-rise Buildings A Prpsal f Heatng Lad Calculatn cnsderng Stack Effect n Hgh-rse Buldngs *Dsam Sng 1) and Tae-Hyuk Kang 2) 1) Department f Archtectural Engneerng, Sungkyunkwan Unversty, 2066 Sebu-r, Jangan-gu, Suwn, 440-746,

More information

Physic 231 Lecture 33

Physic 231 Lecture 33 Physc 231 Lecture 33 Man pnts f tday s lecture: eat and heat capacty: Q cm Phase transtns and latent heat: Q Lm ( ) eat flw Q k 2 1 t L Examples f heat cnductvty, R values fr nsulatrs Cnvectn R L / k Radatn

More information

Section 3: Detailed Solutions of Word Problems Unit 1: Solving Word Problems by Modeling with Formulas

Section 3: Detailed Solutions of Word Problems Unit 1: Solving Word Problems by Modeling with Formulas Sectn : Detaled Slutns f Wrd Prblems Unt : Slvng Wrd Prblems by Mdelng wth Frmulas Example : The factry nvce fr a mnvan shws that the dealer pad $,5 fr the vehcle. If the stcker prce f the van s $5,, hw

More information

_J _J J J J J J J J _. 7 particles in the blue state; 3 particles in the red state: 720 configurations _J J J _J J J J J J J J _

_J _J J J J J J J J _. 7 particles in the blue state; 3 particles in the red state: 720 configurations _J J J _J J J J J J J J _ Dsrder and Suppse I have 10 partcles that can be n ne f tw states ether the blue state r the red state. Hw many dfferent ways can we arrange thse partcles amng the states? All partcles n the blue state:

More information

PHYSICS 536 Experiment 12: Applications of the Golden Rules for Negative Feedback

PHYSICS 536 Experiment 12: Applications of the Golden Rules for Negative Feedback PHYSICS 536 Experment : Applcatns f the Glden Rules fr Negatve Feedback The purpse f ths experment s t llustrate the glden rules f negatve feedback fr a varety f crcuts. These cncepts permt yu t create

More information

A New Method for Solving Integer Linear. Programming Problems with Fuzzy Variables

A New Method for Solving Integer Linear. Programming Problems with Fuzzy Variables Appled Mathematcal Scences, Vl. 4, 00, n. 0, 997-004 A New Methd fr Slvng Integer Lnear Prgrammng Prblems wth Fuzzy Varables P. Pandan and M. Jayalakshm Department f Mathematcs, Schl f Advanced Scences,

More information

How do scientists measure trees? What is DBH?

How do scientists measure trees? What is DBH? Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between

More information

6. ELUTRIATION OF PARTICLES FROM FLUIDIZED BEDS

6. ELUTRIATION OF PARTICLES FROM FLUIDIZED BEDS 6. ELUTRIATION OF PARTICLES FROM FLUIDIZED BEDS Elutratn s the prcess n whch fne partcles are carred ut f a fludzed bed due t the flud flw rate passng thrugh the bed. Typcally, fne partcles are elutrated

More information

Circuits Op-Amp. Interaction of Circuit Elements. Quick Check How does closing the switch affect V o and I o?

Circuits Op-Amp. Interaction of Circuit Elements. Quick Check How does closing the switch affect V o and I o? Crcuts Op-Amp ENGG1015 1 st Semester, 01 Interactn f Crcut Elements Crcut desgn s cmplcated by nteractns amng the elements. Addng an element changes vltages & currents thrughut crcut. Example: clsng a

More information

Exercises H /OOA> f Wo AJoTHS l^»-l S. m^ttrt /A/ ?C,0&L6M5 INFERENCE FOR DISTRIBUTIONS OF CATEGORICAL DATA. tts^e&n tai-ns 5 2%-cas-hews^, 27%

Exercises H /OOA> f Wo AJoTHS l^»-l S. m^ttrt /A/ ?C,0&L6M5 INFERENCE FOR DISTRIBUTIONS OF CATEGORICAL DATA. tts^e&n tai-ns 5 2%-cas-hews^, 27% /A/ mttrt?c,&l6m5 INFERENCE FOR DISTRIBUTIONS OF CATEGORICAL DATA Exercses, nuts! A cmpany clams that each batch f ttse&n ta-ns 5 2%-cas-hews, 27% almnds, 13% macadama nuts, and 8% brazl nuts. T test ths

More information

Comparison of Building Codes and Insulation in China and Iceland

Comparison of Building Codes and Insulation in China and Iceland Prceedngs Wrld Gethermal Cngress 00 Bal, Indnesa, 5-9 prl 00 Cmparsn f Buldng Cdes and Insulatn n Chna and Iceland Hayan Le and Pall Valdmarssn Tanjn Gethermal esearch & Tranng Centre, Tanjn Unversty,

More information

Drought Modelling based on Artificial Intelligence and Neural Network Algorithms: A case study in Queensland, Australia

Drought Modelling based on Artificial Intelligence and Neural Network Algorithms: A case study in Queensland, Australia Drught Mdellng based n Artfcal Intellgence and Neural Netwrk Algrthms: A case study n Queensland Australa Kavna S Dayal (PhD Canddate) Ravnesh C De Armand A Apan Unversty f Suthern Queensland Australa

More information

Conservation of Energy

Conservation of Energy Cnservatn f Energy Equpment DataStud, ruler 2 meters lng, 6 n ruler, heavy duty bench clamp at crner f lab bench, 90 cm rd clamped vertcally t bench clamp, 2 duble clamps, 40 cm rd clamped hrzntally t

More information

Feedback Principle :-

Feedback Principle :- Feedback Prncple : Feedback amplfer s that n whch a part f the utput f the basc amplfer s returned back t the nput termnal and mxed up wth the nternal nput sgnal. The sub netwrks f feedback amplfer are:

More information

3-42. Chapter 15 Steady Heat Conduction. Heat Conduction in Cylinders and Spheres

3-42. Chapter 15 Steady Heat Conduction. Heat Conduction in Cylinders and Spheres Chapter 5 Steady Heat Cnductn Heat Cnductn n Cylnders and Spheres 3-64C When the dameter f cylnder s very small cmpared t ts length, t can be treated as an ndefntely lng cylnder. Cylndrcal rds can als

More information

CTN 2/23/16. EE 247B/ME 218: Introduction to MEMS Design Lecture 11m2: Mechanics of Materials. Copyright 2016 Regents of the University of California

CTN 2/23/16. EE 247B/ME 218: Introduction to MEMS Design Lecture 11m2: Mechanics of Materials. Copyright 2016 Regents of the University of California Vlume Change fr a Unaxal Stress Istrpc lastcty n 3D Istrpc = same n all drectns The cmplete stress-stran relatns fr an strpc elastc Stresses actng n a dfferental vlume element sld n 3D: (.e., a generalzed

More information

Chem 204A, Fall 2004, Mid-term (II)

Chem 204A, Fall 2004, Mid-term (II) Frst tw letters f yur last name Last ame Frst ame McGll ID Chem 204A, Fall 2004, Md-term (II) Read these nstructns carefully befre yu start tal me: 2 hurs 50 mnutes (6:05 PM 8:55 PM) 1. hs exam has ttal

More information

A method of constructing rock-analysis diagrams a statistical basks.

A method of constructing rock-analysis diagrams a statistical basks. 130 A methd f cnstructng rck-analyss dagrams a statstcal basks. 0T~ By W. ALF~.D ll~ch).ra)so.~, ~.Se., B.Se. (Eng.), F.G.S. Lecturer n Petrlgy, Unversty Cllege, Nttngham. [Read January 18, 1921.] D R.

More information

V. Electrostatics Lecture 27a: Diffuse charge at electrodes

V. Electrostatics Lecture 27a: Diffuse charge at electrodes V. Electrstatcs Lecture 27a: Dffuse charge at electrdes Ntes by MIT tudent We have talked abut the electrc duble structures and crrespndng mdels descrbng the n and ptental dstrbutn n the duble layer. Nw

More information

Department of Civil Engineering & Applied Mechanics McGill University, Montreal, Quebec Canada

Department of Civil Engineering & Applied Mechanics McGill University, Montreal, Quebec Canada Department f Cvl Engneerng & Appled Mechancs McGll Unversty, Mntreal, Quebec Canada CIVE 90 THEMODYNAMICS & HEAT TANSFE Assgnment #6 SOUTIONS. Cnsder a.-m hgh and -m-wde duble-pane wndw cnsstng f tw 3-mmthck

More information

4DVAR, according to the name, is a four-dimensional variational method.

4DVAR, according to the name, is a four-dimensional variational method. 4D-Varatnal Data Assmlatn (4D-Var) 4DVAR, accrdng t the name, s a fur-dmensnal varatnal methd. 4D-Var s actually a smple generalzatn f 3D-Var fr bservatns that are dstrbuted n tme. he equatns are the same,

More information

Approach: (Equilibrium) TD analysis, i.e., conservation eqns., state equations Issues: how to deal with

Approach: (Equilibrium) TD analysis, i.e., conservation eqns., state equations Issues: how to deal with Schl f Aerspace Chemcal D: Mtvatn Prevus D Analyss cnsdered systems where cmpstn f flud was frzen fxed chemcal cmpstn Chemcally eactng Flw but there are numerus stuatns n prpulsn systems where chemcal

More information

t r m o o H Is The Sensitive Information Of Your Company Completely Secure?

t r m o o H Is The Sensitive Information Of Your Company Completely Secure? : n t a c f t r e C 1 0 0 7 l 2 l O W S I y n a p m C r u Y w H t f e n e B Cyber crmnals are fndng ncreasngly clever ways every day t be able t peek ver yur shulder, and wth ths llegal ndustry beng an

More information

THERMAL TEST LEVELS & DURATIONS

THERMAL TEST LEVELS & DURATIONS PREFERRED RELIABILITY PAGE 1 OF 7 PRACTICES PRACTICE NO. PT-TE-144 Practice: 1 Perfrm thermal dwell test n prtflight hardware ver the temperature range f +75 C/-2 C (applied at the thermal cntrl/munting

More information

Natural Convection in a Horizontal Annulus with Oscillating Inner Cylinder Using Lagrangian-Eulerian Kinematics

Natural Convection in a Horizontal Annulus with Oscillating Inner Cylinder Using Lagrangian-Eulerian Kinematics Natural Cnvectn n a Hrzntal Annulus wth Oscllatng Inner Cylnder Usng Lagrangan-Euleran Knematcs Esam M. Alawadh Kuwat Unversty Mechancal Engneerng Department P. O. Bx # 5969, Safat, 3060 KUWAIT Abstract

More information

lecture 5: Nucleophilic Substitution Reactions

lecture 5: Nucleophilic Substitution Reactions lecture 5: Nuclephilic Substitutin Reactins Substitutin unimlecular (SN1): substitutin nuclephilic, unimlecular. It is first rder. The rate is dependent upn ne mlecule, that is the substrate, t frm the

More information

IGEE 401 Power Electronic Systems. Solution to Midterm Examination Fall 2004

IGEE 401 Power Electronic Systems. Solution to Midterm Examination Fall 2004 Jós, G GEE 401 wer Electrnc Systems Slutn t Mdterm Examnatn Fall 2004 Specal nstructns: - Duratn: 75 mnutes. - Materal allwed: a crb sheet (duble sded 8.5 x 11), calculatr. - Attempt all questns. Make

More information

MONITORING, INSECTICIDE APPLICATION, AND MATING DISRUPTION. D. Flaherty, G. S. Sibbett, K. Kelley, R. Rice, and J. Dibble

MONITORING, INSECTICIDE APPLICATION, AND MATING DISRUPTION. D. Flaherty, G. S. Sibbett, K. Kelley, R. Rice, and J. Dibble CODLNG MOTH FLGHT PHENOLOGYAS T RELATES TO POPULATON MONTORNG, NSECTCDE APPLCATON, AND MATNG DSRUPTON D Flaherty, G S Sbbett, K Kelley, R Rce, and J Dbble NTRODUCTON Effectve chemcal cntrl f cdlng mth

More information

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity Week3, Chapter 4 Moton n Two Dmensons Lecture Quz A partcle confned to moton along the x axs moves wth constant acceleraton from x =.0 m to x = 8.0 m durng a 1-s tme nterval. The velocty of the partcle

More information

Weathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science

Weathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science Weathering Title: Chemical and Mechanical Weathering Grade Level: 9-12 Subject/Cntent: Earth and Space Science Summary f Lessn: Students will test hw chemical and mechanical weathering can affect a rck

More information

4.8 Degradation of Elastomers by Heat and/or Radiation

4.8 Degradation of Elastomers by Heat and/or Radiation 4.8 Degradatn f Elastmers by Heat and/r Radatn M.It Japan Atmc Energy Research Insttute, Nuclear Educatn Center 2-28-49, Hnkmagme, Bunkyu-ku Tky, 113, JAPAN Abstract Ths artcle studed sme prblems n the

More information

Differentiation Applications 1: Related Rates

Differentiation Applications 1: Related Rates Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

More information

CIRCLE YOUR DIVISION: Div. 1 (9:30 am) Div. 2 (11:30 am) Div. 3 (2:30 pm) Prof. Ruan Prof. Naik Mr. Singh

CIRCLE YOUR DIVISION: Div. 1 (9:30 am) Div. 2 (11:30 am) Div. 3 (2:30 pm) Prof. Ruan Prof. Naik Mr. Singh Frst CIRCLE YOUR DIVISION: Dv. 1 (9:30 am) Dv. (11:30 am) Dv. 3 (:30 m) Prf. Ruan Prf. Na Mr. Sngh Schl f Mechancal Engneerng Purdue Unversty ME315 Heat and Mass ransfer Eam #3 Wednesday Nvember 17 010

More information

Analysis The characteristic length of the junction and the Biot number are

Analysis The characteristic length of the junction and the Biot number are -4 4 The temerature f a gas stream s t be measured by a thermule. The tme t taes t regster 99 erent f the ntal ΔT s t be determned. Assumtns The juntn s sheral n shae wth a dameter f D 0.00 m. The thermal

More information

EE 204 Lecture 25 More Examples on Power Factor and the Reactive Power

EE 204 Lecture 25 More Examples on Power Factor and the Reactive Power EE 204 Lecture 25 Mre Examples n Pwer Factr and the Reactve Pwer The pwer factr has been defned n the prevus lecture wth an example n pwer factr calculatn. We present tw mre examples n ths lecture. Example

More information

The APS Transfer Line from Linac to Injector Synchrotron.

The APS Transfer Line from Linac to Injector Synchrotron. -------------..., The submtted mclnu;..crpt has been authred by a cntractr f the U. S. Gvernment under cntract N. W 31 19-ENG 38. Accrdngly, the U. S. Gvernment retans a nnexclusve, ryalty-free lcense

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

Lucas Imperfect Information Model

Lucas Imperfect Information Model Lucas Imerfect Infrmatn Mdel 93 Lucas Imerfect Infrmatn Mdel The Lucas mdel was the frst f the mdern, mcrfundatns mdels f aggregate suly and macrecnmcs It bult drectly n the Fredman-Phels analyss f the

More information

Where a licence is displayed above, please note the terms and conditions of the licence govern your use of this document.

Where a licence is displayed above, please note the terms and conditions of the licence govern your use of this document. Mdellng the seepage flw durng cassn nstallatn n a natural seabed Faramarz, Asaad; Faz, Khyar; Drar, Samr; Mehravar, Mura; Harreche, Ouahd Dcument Versn Publsher's PDF, als knwn as Versn f recrd Ctatn fr

More information

Convoluted Arc with Flux Concentrator for Current Interruption

Convoluted Arc with Flux Concentrator for Current Interruption Cnvluted Arc wth Flux Cncentratr fr Current Interruptn Lend M. Shpann, Member, IEEE, Grdn R. Jnes, and Jseph W. Spencer Abstract-- Further cnsderatns are gven t the use f an electrmagnetc flux cncentratr

More information

Chapter 6 : Gibbs Free Energy

Chapter 6 : Gibbs Free Energy Wnter 01 Chem 54: ntrductry hermdynamcs Chapter 6 : Gbbs Free Energy... 64 Defntn f G, A... 64 Mawell Relatns... 65 Gbbs Free Energy G(,) (ure substances)... 67 Gbbs Free Energy fr Mtures... 68 ΔG f deal

More information

Lesson Plan. Recode: They will do a graphic organizer to sequence the steps of scientific method.

Lesson Plan. Recode: They will do a graphic organizer to sequence the steps of scientific method. Lessn Plan Reach: Ask the students if they ever ppped a bag f micrwave ppcrn and nticed hw many kernels were unppped at the bttm f the bag which made yu wnder if ther brands pp better than the ne yu are

More information

Edexcel GCSE Physics

Edexcel GCSE Physics Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns

More information

Advances in Engineering Research (AER), volume 102 Second International Conference on Mechanics, Materials and Structural Engineering (ICMMSE 2017)

Advances in Engineering Research (AER), volume 102 Second International Conference on Mechanics, Materials and Structural Engineering (ICMMSE 2017) Secnd Internatnal Cnference n Mechancs, Materals and Structural Engneerng (ICMMSE 2017) Materal Selectn and Analyss f Ol Flm Pressure fr the Flatng Rng Bearng f Turbcharger Lqang PENG1, 2, a*, Hupng ZHENG2,

More information

PT326 PROCESS TRAINER

PT326 PROCESS TRAINER PT326 PROCESS TRAINER 1. Descrptn f the Apparatus PT 326 Prcess Traner The PT 326 Prcess Traner mdels cmmn ndustral stuatns n whch temperature cntrl s requred n the presence f transprt delays and transfer

More information

Pull-Out Strength of a Cast-In-Place Anchor Bolt in Concrete Exposed to High Temperature

Pull-Out Strength of a Cast-In-Place Anchor Bolt in Concrete Exposed to High Temperature Pull-Out Strength f a Cast-In-Place Anchr Blt n Cncrete Expsed t Hgh Temperature Katsuk Takguch, Jun Hashmt Tky Insttute f Technlgy, Japan. ABSTRACT! Many anchr blts are used n nuclear-related facltes

More information

Design of Analog Integrated Circuits

Design of Analog Integrated Circuits Desgn f Analg Integrated Crcuts I. Amplfers Desgn f Analg Integrated Crcuts Fall 2012, Dr. Guxng Wang 1 Oerew Basc MOS amplfer structures Cmmn-Surce Amplfer Surce Fllwer Cmmn-Gate Amplfer Desgn f Analg

More information

Problem Set 5 Solutions - McQuarrie Problems 3.20 MIT Dr. Anton Van Der Ven

Problem Set 5 Solutions - McQuarrie Problems 3.20 MIT Dr. Anton Van Der Ven Prblem Set 5 Slutns - McQuarre Prblems 3.0 MIT Dr. Antn Van Der Ven Fall Fall 003 001 Prblem 3-4 We have t derve the thermdynamc prpertes f an deal mnatmc gas frm the fllwng: = e q 3 m = e and q = V s

More information

Physics 107 HOMEWORK ASSIGNMENT #20

Physics 107 HOMEWORK ASSIGNMENT #20 Physcs 107 HOMEWORK ASSIGNMENT #0 Cutnell & Jhnsn, 7 th etn Chapter 6: Prblems 5, 7, 74, 104, 114 *5 Cncept Smulatn 6.4 prves the ptn f explrng the ray agram that apples t ths prblem. The stance between

More information

State-Space Model Based Generalized Predictive Control for Networked Control Systems

State-Space Model Based Generalized Predictive Control for Networked Control Systems Prceedngs f the 7th Wrld Cngress he Internatnal Federatn f Autmatc Cntrl State-Space Mdel Based Generalzed Predctve Cntrl fr Netwred Cntrl Systems Bn ang* Gu-Png Lu** We-Hua Gu*** and Ya-Ln Wang**** *Schl

More information

Inference in Simple Regression

Inference in Simple Regression Sectn 3 Inference n Smple Regressn Havng derved the prbablty dstrbutn f the OLS ceffcents under assumptns SR SR5, we are nw n a pstn t make nferental statements abut the ppulatn parameters: hypthess tests

More information

Introduction to Electronic circuits.

Introduction to Electronic circuits. Intrductn t Electrnc crcuts. Passve and Actve crcut elements. Capactrs, esstrs and Inductrs n AC crcuts. Vltage and current dvders. Vltage and current surces. Amplfers, and ther transfer characterstc.

More information

Learn more at

Learn more at Tensn and Expansn Analyss f Ppe-n-Ppe Rsers: Part A, Theretcal rmulatn Kevn Chuanjan Man, Bn Yue, Adam Szucs, Rcky Theth 2H ffshre nc. Hustn, TX, USA ABSTRACT Ths paper prvdes a mathematcal mdel fr accurate

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

BME 5742 Biosystems Modeling and Control

BME 5742 Biosystems Modeling and Control BME 5742 Bsystems Mdeln and Cntrl Cell Electrcal Actvty: In Mvement acrss Cell Membrane and Membrane Ptental Dr. Zv Rth (FAU) 1 References Hppensteadt-Peskn, Ch. 3 Dr. Rbert Farley s lecture ntes Inc Equlbra

More information

element k Using FEM to Solve Truss Problems

element k Using FEM to Solve Truss Problems sng EM t Slve Truss Prblems A truss s an engneerng structure cmpsed straght members, a certan materal, that are tpcall pn-ned at ther ends. Such members are als called tw-rce members snce the can nl transmt

More information

Linear Plus Linear Fractional Capacitated Transportation Problem with Restricted Flow

Linear Plus Linear Fractional Capacitated Transportation Problem with Restricted Flow Amercan urnal f Operatns Research,,, 58-588 Publshed Onlne Nvember (http://www.scrp.rg/urnal/ar) http://dx.d.rg/.46/ar..655 Lnear Plus Lnear Fractnal Capactated Transprtatn Prblem wth Restrcted Flw Kavta

More information

rr I : ~.DO" July 15, 2014 Mike Pawlak, P.E., City Engineer City of Pasco 525 N 0 Third Avenue Pasco, WA Dear Mike:

rr I : ~.DO July 15, 2014 Mike Pawlak, P.E., City Engineer City of Pasco 525 N 0 Third Avenue Pasco, WA Dear Mike: J-U-8 COMPANES ~ rr : ~.DO", muu:way MA,"NO NC:. J U ENGNEERS, NC. July 15, 2014 Mke Pawlak, P.E., Cty Engneer Cty f Pasc 525 N 0 Thrd Avenue Pasc, WA 99301 RE: STEVENS MDDLE SCHOOL- TRAFFC STUDY FOR CLOSURE

More information

A Note on the Linear Programming Sensitivity. Analysis of Specification Constraints. in Blending Problems

A Note on the Linear Programming Sensitivity. Analysis of Specification Constraints. in Blending Problems Aled Mathematcal Scences, Vl. 2, 2008, n. 5, 241-248 A Nte n the Lnear Prgrammng Senstvty Analyss f Secfcatn Cnstrants n Blendng Prblems Umt Anc Callway Schl f Busness and Accuntancy Wae Frest Unversty,

More information

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology Technical Bulletin Generatin Intercnnectin Prcedures Revisins t Cluster 4, Phase 1 Study Methdlgy Release Date: Octber 20, 2011 (Finalizatin f the Draft Technical Bulletin released n September 19, 2011)

More information

Out-of-plane orbital maneuvers using swing-bys with the Moon

Out-of-plane orbital maneuvers using swing-bys with the Moon Jurnal f Physcs: Cnference Seres PAPER OPEN ACCESS Out-f-plane rbtal maneuvers usng swng-bys wth the Mn Related cntent - Pwered Swng-By Maneuvers arund the Mn A F Slva, A F B A Prad and O C Wnter cte ths

More information

AP Statistics Notes Unit Two: The Normal Distributions

AP Statistics Notes Unit Two: The Normal Distributions AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).

More information

Chapter 5. Solution of System of Linear Equations. Module No. 6. Solution of Inconsistent and Ill Conditioned Systems

Chapter 5. Solution of System of Linear Equations. Module No. 6. Solution of Inconsistent and Ill Conditioned Systems Numercal Analyss by Dr. Anta Pal Assstant Professor Department of Mathematcs Natonal Insttute of Technology Durgapur Durgapur-713209 emal: anta.bue@gmal.com 1 . Chapter 5 Soluton of System of Lnear Equatons

More information

Phys 344 Ch 5 Lect 4 Feb 28 th,

Phys 344 Ch 5 Lect 4 Feb 28 th, hys 44 Ch 5 Lect 4 Feb 8 th, 009 1 Wed /4 Fr /6 Mn /9 Wed /11 Fr / 1 55 Dlute Slutn 56 Chemcal Equlbrum Revew Exam (C 107 S 60, 61 Bltzmann Statstcs Bnus: hys Sr hess resentatns @ 4pm HW17: 7,76,8 HW18:8,84,86,88,89,91

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

Monin Obukhov Similarity and Local-Free-Convection Scaling in the Atmospheric Boundary Layer Using Matched Asymptotic Expansions

Monin Obukhov Similarity and Local-Free-Convection Scaling in the Atmospheric Boundary Layer Using Matched Asymptotic Expansions OCTOBER 08 T O N G A N D D I N G 369 Mnn Obukhv Smlarty cal-free-cnvectn Scalng n the Atmspherc Bundary ayer Usng Matched Asympttc Expansns CHENNING TONG AND MENGJIE DING Department f Mechancal Engneerng

More information

The Effect Of Type-III Antifreeze Proteins (AFPs) On CO2 Hydrate Slurry Formation

The Effect Of Type-III Antifreeze Proteins (AFPs) On CO2 Hydrate Slurry Formation Purdue Unversty Purdue e-pubs Internatnal Refrgeratn and Ar Cndtnng Cnference Schl f Mechancal Engneerng 2014 The Effect Of Type-III Antfreeze Prtens (AFPs) On CO2 Hydrate Slurry Frmatn Hngxa Zhu Delft

More information

ENGI 4421 Probability & Statistics

ENGI 4421 Probability & Statistics Lecture Ntes fr ENGI 441 Prbablty & Statstcs by Dr. G.H. Gerge Asscate Prfessr, Faculty f Engneerng and Appled Scence Seventh Edtn, reprnted 018 Sprng http://www.engr.mun.ca/~ggerge/441/ Table f Cntents

More information

A HYDRAULIC OPEN LOOP SYSTEM FOR CONTROLLED EXCAVATION ALONG PRESCRIBED PATH. E. Bundy, W. Gutkowski

A HYDRAULIC OPEN LOOP SYSTEM FOR CONTROLLED EXCAVATION ALONG PRESCRIBED PATH. E. Bundy, W. Gutkowski A HYDRAULIC OPEN LOOP SYSTEM FOR CONTROLLED EXCAVATION ALONG PRESCRIBED PATH E. Bundy, W. Gutkwsk Insttute f Buldng Mechanzatn and Rck Mnng Ul.Racjnalzacj 6/8, 0-67 Warszawa Pland e-mal: eb@mbgs.rg.pl;wtld.gutkwsk@ppt.gv.pl

More information

Module B3. VLoad = = V S V LN

Module B3. VLoad = = V S V LN Mdule B Prblem The -hase lads are cnnected n arallel. One s a urely resste lad cnnected n wye. t cnsumes 00kW. The secnd s a urely nducte 00kR lad cnnected n wye. The thrd s a urely caacte 00kR lad cnnected

More information

COMPARISON OF SOME RELIABILITY CHARACTERISTICS BETWEEN REDUNDANT SYSTEMS REQUIRING SUPPORTING UNITS FOR THEIR OPERATIONS

COMPARISON OF SOME RELIABILITY CHARACTERISTICS BETWEEN REDUNDANT SYSTEMS REQUIRING SUPPORTING UNITS FOR THEIR OPERATIONS Avalable onlne at http://sck.org J. Math. Comput. Sc. 3 (3), No., 6-3 ISSN: 97-537 COMPARISON OF SOME RELIABILITY CHARACTERISTICS BETWEEN REDUNDANT SYSTEMS REQUIRING SUPPORTING UNITS FOR THEIR OPERATIONS

More information

Global Sensitivity. Tuesday 20 th February, 2018

Global Sensitivity. Tuesday 20 th February, 2018 Global Senstvty Tuesday 2 th February, 28 ) Local Senstvty Most senstvty analyses [] are based on local estmates of senstvty, typcally by expandng the response n a Taylor seres about some specfc values

More information

A/2 l,k. Problem 1 STRATEGY. KNOWN Resistance of a complete spherical shell: r rk. Inner and outer radii

A/2 l,k. Problem 1 STRATEGY. KNOWN Resistance of a complete spherical shell: r rk. Inner and outer radii Prblem 1 STRATEGY KNOWN Resstance f a cmplete sphercal shell: R ( r r / (4 π r rk sphere Inner an uter ra r an r, SOLUTION Part 1: Resstance f a hemsphercal shell: T calculate the resstance f the hemsphere,

More information

Drought damaged area

Drought damaged area ESTIMATE OF THE AMOUNT OF GRAVEL CO~TENT IN THE SOIL BY A I R B O'RN EMS S D A T A Y. GOMI, H. YAMAMOTO, AND S. SATO ASIA AIR SURVEY CO., l d. KANAGAWA,JAPAN S.ISHIGURO HOKKAIDO TOKACHI UBPREFECTRAl OffICE

More information

SELECTION OF MODEL PARAMETERS OF BIOGAS IC ENGINE. Karol Cupiał, Grzegorz Katolik

SELECTION OF MODEL PARAMETERS OF BIOGAS IC ENGINE. Karol Cupiał, Grzegorz Katolik TEKA Km. Mt. Energ. Rln., 2006, 6A, 32 38 SELECTION OF MODEL PARAMETERS OF BIOGAS IC ENGINE Karl Cupał, Grzegrz Katlk Insttute f Internal Cmbustn Engnes and Cntrl Engneerng Techncal Unversty f Częstchwa

More information

55:041 Electronic Circuits

55:041 Electronic Circuits 55:04 Electrnc Crcuts Feedback & Stablty Sectns f Chapter 2. Kruger Feedback & Stablty Cnfguratn f Feedback mplfer S S S S fb Negate feedback S S S fb S S S S S β s the feedback transfer functn Implct

More information

Subject description processes

Subject description processes Subject representatin 6.1.2. Subject descriptin prcesses Overview Fur majr prcesses r areas f practice fr representing subjects are classificatin, subject catalging, indexing, and abstracting. The prcesses

More information

2016 Wiley. Study Session 2: Ethical and Professional Standards Application

2016 Wiley. Study Session 2: Ethical and Professional Standards Application 6 Wley Study Sesson : Ethcal and Professonal Standards Applcaton LESSON : CORRECTION ANALYSIS Readng 9: Correlaton and Regresson LOS 9a: Calculate and nterpret a sample covarance and a sample correlaton

More information

Grade 12 Physics Exam Review

Grade 12 Physics Exam Review Grade 12 Physcs Exam Revew 1. A 40 kg wagn s pulled wth an appled frce f 50 N [E 37 degrees abve the hrzntal. The wagn mves 8 m [E] hrzntally whle 5 N f frctn act. Fnd the wrk dne n the wagn by the...

More information

Relationships Between Frequency, Capacitance, Inductance and Reactance.

Relationships Between Frequency, Capacitance, Inductance and Reactance. P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead

More information

CHAPTER 3: FEEDBACK. Dr. Wan Mahani Hafizah binti Wan Mahmud

CHAPTER 3: FEEDBACK. Dr. Wan Mahani Hafizah binti Wan Mahmud CHPTER 3: FEEDBCK Dr. Wan Mahan Hafzah bnt Wan Mahmud Feedback ntrductn Types f Feedback dvantages, Characterstcs and effect f Negatve Feedback mplfers Crcuts wth negatve feedback Pstve feedback and Oscllatr

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference is when two (or more) sets of waves meet and combine to produce a new pattern. Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme

More information

CHAPTER IV RESEARCH FINDING AND DISCUSSIONS

CHAPTER IV RESEARCH FINDING AND DISCUSSIONS CHAPTER IV RESEARCH FINDING AND DISCUSSIONS A. Descrpton of Research Fndng. The Implementaton of Learnng Havng ganed the whole needed data, the researcher then dd analyss whch refers to the statstcal data

More information

Negative Binomial Regression

Negative Binomial Regression STATGRAPHICS Rev. 9/16/2013 Negatve Bnomal Regresson Summary... 1 Data Input... 3 Statstcal Model... 3 Analyss Summary... 4 Analyss Optons... 7 Plot of Ftted Model... 8 Observed Versus Predcted... 10 Predctons...

More information

CS-433: Simulation and Modeling Modeling and Probability Review

CS-433: Simulation and Modeling Modeling and Probability Review CS-433: Smulaton and Modelng Modelng and Probablty Revew Exercse 1. (Probablty of Smple Events) Exercse 1.1 The owner of a camera shop receves a shpment of fve cameras from a camera manufacturer. Unknown

More information

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 March 10, Please grade the following questions: 1 or 2

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 March 10, Please grade the following questions: 1 or 2 CEE 371 March 10, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all

More information

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2 CEE 371 Octber 8, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all

More information

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng

More information

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions.

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions. BASD High Schl Frmal Lab Reprt GENERAL INFORMATION 12 pt Times New Rman fnt Duble-spaced, if required by yur teacher 1 inch margins n all sides (tp, bttm, left, and right) Always write in third persn (avid

More information