Theoretical Study on the While Drilling Electromagnetic Signal Transmission of Horizontal Well
|
|
- Octavia McCoy
- 6 years ago
- Views:
Transcription
1 7 nd ntrntionl Confrnc on Softwr, Multimdi nd Communiction Enginring (SMCE 7) SBN: Thorticl Study on th Whil Drilling Elctromgntic Signl Trnsmission of Horizontl Wll Y-huo FAN,,*, Zi-ping NE nd Xing-yng SUN Univrsity of Elctronic Scinc nd Tchnology of Chin, Sichun, Chngdu, 67 Chin Rsrch nstitut of Rdiowv Propgtion, Xinxing, Hnn, 45 *Corrsponding uthor Kywords: EM-MWD, Equivlnt trnsmission lin, Horizontl lctric dipol. Abstrct. Elctromgntic wv trnsmission is on kind of wirlss signl trnsmission of whil drilling, hs bn rsrch hotspot. Th prvious studis minly on vrticl wll, but this tchnology oftn usd in horizontl wll, so it is ncssry for study on th lctromgntic wv trnsmission from horizontl wll to surfc. Bsd on th fild of th horizontl lctric dipol in conducting hlf-spc nd th quivlnt trnsmission lin thory, th thorticl modl is stblishd. Svrl groups of horizontl sction nd vrticl sction with diffrnt lngths r clcultd. Th rsults of clcultion r nlyzd. ntroduction As drilling, th msurmnt informtion of down-hol is trnsmittd to th surfc in rl tim, it cn provid th bsis nd guidnc for th nxt oprtion. Th informtion trnsmission minly contin wird nd wirlss, lctromgntic wv trnsmission is on kind of wirlss trnsmission wy. Thory rsrch of lctromgntic wv trnsmission cn b dividd into two ctgoris, on is bsd on low frquncy fild chrctristics of th quivlnt pproximtion mthod of quivlnt trnsmission lin mthod. th othr is bsd on solving th fild qutions boundry vlu problms of numricl mthods. But th prvious studis minly on vrticl wll, but this tchnology oftn usd in horizontl wll. n ordr to found th thory modl of th lctromgntic wv trnsmission for horizontl, w ssum tht th formtion is homognous mdium, tht th currnt distribution on th drill pip is not ffctd by th intrfc of formtion nd th bnding of th drill pip. Th quivlnt trnsmission lin modl is usd to clcult th currnt distribution on th drill pip, thn bsd on th fild of horizontl lctric dipol nd vrticl lctric dipol in conducting hlf-spc clcult th rcivd signl on surfc. Th Equivlnt Trnsmission in Modl z d σ m ε m σ ε V s ρ Figur. Th quivlnt trnsmission lin modl. 4
2 n Figur, th rdius of th drill string, th quivlnt rdius of th trnsmission lin d, th lngth of th drill string, th lngth of th lctrod, th lctricl conductivity nd th dilctric constnt, th subscript m indicts th drill string, nd th subscript rprsnts th formtion. Th sris rsistnc r, inductnc l g, shunt conductnc g nd cpcitnc c of th unit trnsmission lin r s follows [] r m () l g d n () g d n () i c d n th currnt nd voltg distribution on th drill pip cn b xprssd s z z z V V V (5) z z z V V (6) Z whr V, V cn b dtrmind by boundry conditions, for EM- MWD systm trminl is opn, th xcittion nd trminl conditions r () Vs / ZT, ( ), ZT is input impdnc of trnsmitting ntnn, put into th Eq. 6, thn (4) V Z (7) h Z V (8) Thus z z z (9) Z z z V z () For trminl opn circuit, by Eq.6 nd Eq.7, if z, thn th input impdnc Z T V () Z T Z cth () () Du to th lngth of is short thn th skin dpth of th formtion, so th clcultion of th impdnc of th qusi sttic pproximtion mthod [] 5
3 l Z ln K l whr, K. 69. Thus, th input impdnc of th trnsmitting ntnn is () Z T Z Z () T T Fild of Elctric Dipol in Conducting Hlf-spc Th horizontl lctric dipol in conducting hlf-spc s th figur shows. z z (ρ,φ,h) h O O l x(x ) x Figur. Th horizontl lctric dipol in conducting hlf-spc. Undr qusi-sttic conditions, th Hrtz vctor in th uppr hlf spc cn b writtn s l ( zh) h J( d 4j (4) x ) l cos ( zh) h z J( ) d 4j (5) / for Eq nd Eq th ( k ), k ( j / ). n ordr to fcilitt th clcultion, th us of Wit mirror img thory [] d thr d / k,thn if d (6) (7) k k b (8) for th EM-MWD, it is possibl to pproximt.96, b.4. thn Will b th typ into Eq4 nd Eq 5, thn intgrl h kh bh (9) x l kh 4j C C () 6
4 l kh cos d ( z h) bh z h z 4j C C thr bh () C () ( z h bh) C ( d z h bh) () th fild for surfc kh l cos b h E b kbh C C (4) kh l sin C C E ( ) C d C (5) kh l cos 6bh 4 bh d bh Ez 5 4 C d C C For th fild of th vrticl lctric dipol in conducting hlf-spc [4] (6) E jl jbk h h k h 5 (7) Rcivd Signl Clcultion for Horizontl Wll Th lctromgntic wv trnsmission in horizontl wlls is shown in th figur. Th horizontl wll modl is mor complx thn th vrticl wll, in ordr to fcilitt study, w ssum tht th formtion is homognous, tht th currnt distribution on th drill pip is not ffctd by th intrfc of formtion nd th bnding of drill pip. V r b v Th rciv signl cn b clcultd by h Figur. Th horizontl wll. Vr b t E d t v h thr E E E, thn () 7
5 j () l h () h h v v jbkh E dl 5 h k kh h h ( l)cos b h E b kbh dl C C () n ordr to discuss th influnc of th horizontl sction, th clcultion prmtrs r slctd s shown in Tbl, Th rsults r shown in Tbl. Tbl. Prmtr slction tbl. σ Ω m ε ε r. -6 Ω μ μ.m A 9m f Hz Tbl. Comprison of clcultion rsults. Th lngth v m Th lngth h m V h dbv V v dbv Totl V r dbv V r Vrticl wll dbv From Tbl, th contribution of th currnt on th horizontl sction to Totl V r is rltd to th lngth of th vrticl sction nd th lngth of th horizontl sction. Whn th vrticl sction is longr thn th lngth of th horizontl sction, th V h is smllr thn V v. Th V r for Vrticl wll in Tbl. With th lngth drill pip is qul to th totl lngth of th vrticl sction nd horizontl sction. Th Tbl show tht th diffrnt lngth of vrticl nd horizontl, horizontl wlls nd vrticl wlls production sitution is slightly diffrnt. t cn b concludd tht th currnt drill pip nr th wllhd ply th min contribut to V r. Th conclusion is on th ssumption tht th formtion is homognous, th currnt distribution of drill pip r smll ffctd by drill pip bnding. Th fct condition for th formtion of non uniform formtion, so to furthr rsrch on lctromgntic wv trnsmission problms with horizontl wll, th complx thorticl modl must b foundd. Summry Bsd on th fild of th horizontl lctric dipol in conducting hlf-spc nd th quivlnt trnsmission lin thory, th thorticl modl is stblishd. Th clcultion shows tht th horizontl sction contribution to signl is smllr thn vrticl sction, th ffcts of th horizontl sgmnt in th clcultion cn b no spcil trtmnt. Acknowldgmnt This rsrch ws finncilly supportd by CETC. Rfrncs [] Fn Y H, Ni Z P, i T. EM chnnl thory modl nd chrctristics nlysis for MWD. Chins Journl of Rdio Scinc, 8():99~94. [] Wit, J. R. Th lctromgntic filds of horizontl dipol in th prsnc of conducting hlf-spc, Cn. J. Phys, 9(96):7-8. 8
6 [] Arthur D. Wtt, VF Rdio Enginring, first d, Prgmon Prss (Oxford nd Nw York), 967. [4] P. Bnnistr. Th qusi-nr filds of dipol ntnns. EEE Trnsctions on Antnns & Propgtion, 967, 5(5):
The Angular Momenta Dipole Moments and Gyromagnetic Ratios of the Electron and the Proton
Journl of Modrn hysics, 014, 5, 154-157 ublishd Onlin August 014 in SciRs. htt://www.scir.org/journl/jm htt://dx.doi.org/.436/jm.014.51415 Th Angulr Momnt Diol Momnts nd Gyromgntic Rtios of th Elctron
More informationCh 1.2: Solutions of Some Differential Equations
Ch 1.2: Solutions of Som Diffrntil Equtions Rcll th fr fll nd owl/mic diffrntil qutions: v 9.8.2v, p.5 p 45 Ths qutions hv th gnrl form y' = y - b W cn us mthods of clculus to solv diffrntil qutions of
More informationLecture 11 Waves in Periodic Potentials Today: Questions you should be able to address after today s lecture:
Lctur 11 Wvs in Priodic Potntils Tody: 1. Invrs lttic dfinition in 1D.. rphicl rprsnttion of priodic nd -priodic functions using th -xis nd invrs lttic vctors. 3. Sris solutions to th priodic potntil Hmiltonin
More informationChapter 16. 1) is a particular point on the graph of the function. 1. y, where x y 1
Prctic qustions W now tht th prmtr p is dirctl rltd to th mplitud; thrfor, w cn find tht p. cos d [ sin ] sin sin Not: Evn though ou might not now how to find th prmtr in prt, it is lws dvisl to procd
More informationLecture contents. Bloch theorem k-vector Brillouin zone Almost free-electron model Bands Effective mass Holes. NNSE 508 EM Lecture #9
Lctur contnts Bloch thorm -vctor Brillouin zon Almost fr-lctron modl Bnds ffctiv mss Hols Trnsltionl symmtry: Bloch thorm On-lctron Schrödingr qution ch stt cn ccommo up to lctrons: If Vr is priodic function:
More informationTHE DETERMINATION of the signal magnitude at the
IEEE TANSACTIONS ON ELECTOMAGNETIC COMPATIBILITY, VOL 50, NO 3, AUGUST 2008 Clcultion of Elctricl Prmtrs of Two-Wir Lins in Multiconductor Cbls Boris M Lvin Abstrct A rigorous mthod for th clcultions of
More informationImpedance Analysis as a Tool for Hydraulic Fracture Diagnostics in Unconventional Reservoirs
Austrlin Journl of Bsic nd Applid Scincs, 7(9): 15-7, 13 ISSN 1991-8178 Impdnc Anlysis s Tool for Hydrulic Frctur Dignostics in Unconvntionl Rsrvoirs Amir Rz Rhmni, Mhdy Shirdl Dpt. of Ptrolum & Gosystms
More informationMulti-Section Coupled Line Couplers
/0/009 MultiSction Coupld Lin Couplrs /8 Multi-Sction Coupld Lin Couplrs W cn dd multipl coupld lins in sris to incrs couplr ndwidth. Figur 7.5 (p. 6) An N-sction coupld lin l W typiclly dsign th couplr
More information5.4 The Quarter-Wave Transformer
4//9 5_4 Th Qurtr Wv Trnsformr.doc / 5.4 Th Qurtr-Wv Trnsformr Rdg Assignmnt: pp. 73-76, 4-43 By now you v noticd tht qurtr-wv lngth of trnsmission l ( λ 4, β π ) pprs oftn microwv ngrg prolms. Anothr
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY HAYSTACK OBSERVATORY WESTFORD, MASSACHUSETTS
VSRT MEMO #05 MASSACHUSETTS INSTITUTE OF TECHNOLOGY HAYSTACK OBSERVATORY WESTFORD, MASSACHUSETTS 01886 Fbrury 3, 009 Tlphon: 781-981-507 Fx: 781-981-0590 To: VSRT Group From: Aln E.E. Rogrs Subjct: Simplifid
More informationMiscellaneous open problems in the Regular Boundary Collocation approach
Miscllnous opn problms in th Rgulr Boundry Colloction pproch A. P. Zilińsi Crcow Univrsity of chnology Institut of Mchin Dsign pz@mch.p.du.pl rfftz / MFS Confrnc ohsiung iwn 5-8 Mrch 0 Bsic formultions
More information22.615, MHD Theory of Fusion Systems Prof. Freidberg Lecture 8: Effect of a Vertical Field on Tokamak Equilibrium
.65, MHD Thory of usion Systms Prof. ridrg Lctur 8: Effct of Vrticl ild on Tokmk Equilirium Toroidl orc lnc y Mns of Vrticl ild. Lt us riw why th rticl fild is imortnt. 3. or ry short tims, th cuum chmr
More informationIntegration Continued. Integration by Parts Solving Definite Integrals: Area Under a Curve Improper Integrals
Intgrtion Continud Intgrtion y Prts Solving Dinit Intgrls: Ar Undr Curv Impropr Intgrls Intgrtion y Prts Prticulrly usul whn you r trying to tk th intgrl o som unction tht is th product o n lgric prssion
More informationI. The Connection between Spectroscopy and Quantum Mechanics
I. Th Connction twn Spctroscopy nd Quntum Mchnics On of th postults of quntum mchnics: Th stt of systm is fully dscrid y its wvfunction, Ψ( r1, r,..., t) whr r 1, r, tc. r th coordints of th constitunt
More informationTwo Products Manufacturer s Production Decisions with Carbon Constraint
Managmnt Scinc and Enginring Vol 7 No 3 pp 3-34 DOI:3968/jms9335X374 ISSN 93-34 [Print] ISSN 93-35X [Onlin] wwwcscanadant wwwcscanadaorg Two Products Manufacturr s Production Dcisions with Carbon Constraint
More informationConstruction of asymmetric orthogonal arrays of strength three via a replacement method
isid/ms/26/2 Fbruary, 26 http://www.isid.ac.in/ statmath/indx.php?modul=prprint Construction of asymmtric orthogonal arrays of strngth thr via a rplacmnt mthod Tian-fang Zhang, Qiaoling Dng and Alok Dy
More informationTOPIC 5: INTEGRATION
TOPIC 5: INTEGRATION. Th indfinit intgrl In mny rspcts, th oprtion of intgrtion tht w r studying hr is th invrs oprtion of drivtion. Dfinition.. Th function F is n ntidrivtiv (or primitiv) of th function
More information, between the vertical lines x a and x b. Given a demand curve, having price as a function of quantity, p f (x) at height k is the curve f ( x,
Clculus for Businss nd Socil Scincs - Prof D Yun Finl Em Rviw vrsion 5/9/7 Chck wbsit for ny postd typos nd updts Pls rport ny typos This rviw sht contins summris of nw topics only (This rviw sht dos hv
More informationCHAPTER 3 MECHANISTIC COMPARISON OF WATER CONING IN OIL AND GAS WELLS
CHAPTER 3 MECHANISTIC COMPARISON OF WATER CONING IN OIL AND GAS WELLS Wtr coning in gs lls hs n undrstood s phnomnon similr to tht in oil ll. In contrst to oil lls, rltivly f studis hv n rportd on spcts
More informationInstructions for Section 1
Instructions for Sction 1 Choos th rspons tht is corrct for th qustion. A corrct nswr scors 1, n incorrct nswr scors 0. Mrks will not b dductd for incorrct nswrs. You should ttmpt vry qustion. No mrks
More informationELEG 413 Lecture #6. Mark Mirotznik, Ph.D. Professor The University of Delaware
LG 43 Lctur #6 Mrk Mirtnik, Ph.D. Prfssr Th Univrsity f Dlwr mil: mirtni@c.udl.du Wv Prpgtin nd Plritin TM: Trnsvrs lctrmgntic Wvs A md is prticulr fild cnfigurtin. Fr givn lctrmgntic bundry vlu prblm,
More informationUNIT # 08 (PART - I)
. r. d[h d[h.5 7.5 mol L S d[o d[so UNIT # 8 (PRT - I CHEMICL INETICS EXERCISE # 6. d[ x [ x [ x. r [X[C ' [X [[B r '[ [B [C. r [NO [Cl. d[so d[h.5 5 mol L S d[nh d[nh. 5. 6. r [ [B r [x [y r' [x [y r'
More informationINTEGRALS. Chapter 7. d dx. 7.1 Overview Let d dx F (x) = f (x). Then, we write f ( x)
Chptr 7 INTEGRALS 7. Ovrviw 7.. Lt d d F () f (). Thn, w writ f ( ) d F () + C. Ths intgrls r clld indfinit intgrls or gnrl intgrls, C is clld constnt of intgrtion. All ths intgrls diffr y constnt. 7..
More informationINC 693, 481 Dynamics System and Modelling: Linear Graph Modeling II Dr.-Ing. Sudchai Boonto Assistant Professor
INC 69, 48 Dynamics Systm and Modlling: Linar Graph Modling II Dr.-Ing. Sudchai Boonto Assistant Profssor Dpartmnt of Control Systm and Instrumntation Enginring King Mongkut s Unnivrsity of Tchnology Thonuri
More informationCIVL 8/ D Boundary Value Problems - Rectangular Elements 1/7
CIVL / -D Boundr Vlu Prolms - Rctngulr Elmnts / RECANGULAR ELEMENS - In som pplictions, it m mor dsirl to us n lmntl rprsnttion of th domin tht hs four sids, ithr rctngulr or qudriltrl in shp. Considr
More informationElliptical motion, gravity, etc
FW Physics 130 G:\130 lctur\ch 13 Elliticl motion.docx g 1 of 7 11/3/010; 6:40 PM; Lst rintd 11/3/010 6:40:00 PM Fig. 1 Elliticl motion, grvity, tc minor xis mjor xis F 1 =A F =B C - D, mjor nd minor xs
More informationGUC (Dr. Hany Hammad) 9/28/2016
U (r. Hny Hd) 9/8/06 ctur # 3 ignl flow grphs (cont.): ignl-flow grph rprsnttion of : ssiv sgl-port dvic. owr g qutions rnsducr powr g. Oprtg powr g. vill powr g. ppliction to Ntwork nlyzr lirtion. Nois
More informationHomotopy perturbation technique
Comput. Mthods Appl. Mch. Engrg. 178 (1999) 257±262 www.lsvir.com/locat/cma Homotopy prturbation tchniqu Ji-Huan H 1 Shanghai Univrsity, Shanghai Institut of Applid Mathmatics and Mchanics, Shanghai 272,
More informationTHE SPINOR FIELD THEORY OF THE PHOTON
Romnin Rports in Physics, Vol. 66, No., P. 9 5, 4 THE SPINOR FIELD THEORY OF THE PHOTON RUO PENG WANG Pking Univrsity, Physics Dprtmnt, Bijing 87, P.R. Chin E-mil: rpwng@pku.du.cn Rcivd Octobr 8, Abstrct.
More informationMulti-agent based protection system for distribution system with DG
Multi- bsd protction systm for distribution systm with DG JIN SHAGN, NENGLING TAI, QI LIU Dprtmnt of Elctricl Powr Enginring Shnghi JioTong Univrsity NO.800, DongChun Rod, Shnghi CHINA fctsj@sjtu.du.cn
More informationJOURNAL OF MECHANICAL ENGINEERING AND TECHNOLOGY (JMET)
JOURNAL OF MECHANICAL ENGINEERING AND ECHNOLOGY (JME) Journl of Mchnicl Enginring nd chnology (JME) ISSN 47-94 (Print) ISSN 47-9 (Onlin) Volum Issu July -Dcmbr () ISSN 47-94 (Print) ISSN 47-9 (Onlin) Volum
More informationInstantaneous Cutting Force Model in High-Speed Milling Process with Gyroscopic Effect
Advancd Matrials sarch Onlin: -8-6 ISS: 66-8985, Vols. 34-36, pp 389-39 doi:.48/www.scintific.nt/am.34-36.389 rans ch Publications, Switzrland Instantanous Cutting Forc Modl in High-Spd Milling Procss
More informationResearch on Wind Power System with Adaptive Speed Control of MPPT Algorithm
Journl o Communiction nd Computr 12 (215) 311-317 doi: 1.17265/1548-779/215.6.5 D DAVID PUBLISHING Rsrch on Wind Powr Systm with Adptiv Spd Control o MPPT Algorithm Ai-mi Xio nd Yong-xin Ji 1. Dprtmnt
More informationMathematics. Mathematics 3. hsn.uk.net. Higher HSN23000
Highr Mthmtics UNIT Mthmtics HSN000 This documnt ws producd spcilly for th HSN.uk.nt wbsit, nd w rquir tht ny copis or drivtiv works ttribut th work to Highr Still Nots. For mor dtils bout th copyright
More informationSOLVED EXAMPLES. be the foci of an ellipse with eccentricity e. For any point P on the ellipse, prove that. tan
LOCUS 58 SOLVED EXAMPLES Empl Lt F n F th foci of n llips with ccntricit. For n point P on th llips, prov tht tn PF F tn PF F Assum th llips to, n lt P th point (, sin ). P(, sin ) F F F = (-, 0) F = (,
More informationMulti-channel Dual Clocks three-dimensional probability Random Multiple Access protocol for Wireless Public Bus Networks based on RTS/CTS mechanism
MATE Wb of onfrncs 44, 00 ( 06 DO: 0.05/ mtcconf/ 06 4400 Ownd by th uthors, publishd by EDP Scincs, 06 Multi-chnnl Dul locks thr-dimnsionl probbility ndom Multipl Accss protocol for Wirlss Public us Ntworks
More informationDesign/Modeling for Periodic Nano Structures t for EMC/EMI. Outline
/4/00 Dsign/Modling for Priodic Nno Structurs t for EMC/EMI Ji Chn Dprtmnt of ricl nd Computr Enginring Houston, TX, 7704 Outlin Introduction Composit Mtrils Dsign with Numricl Mixing-Lw FDTD dsign of
More informationThe Theory of Small Reflections
Jim Stils Th Univ. of Knss Dt. of EECS 4//9 Th Thory of Smll Rflctions /9 Th Thory of Smll Rflctions Rcll tht w nlyzd qurtr-wv trnsformr usg th multil rflction viw ot. V ( z) = + β ( z + ) V ( z) = = R
More informationEinstein Equations for Tetrad Fields
Apiron, Vol 13, No, Octobr 006 6 Einstin Equations for Ttrad Filds Ali Rıza ŞAHİN, R T L Istanbul (Turky) Evry mtric tnsor can b xprssd by th innr product of ttrad filds W prov that Einstin quations for
More informationMASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS SEMESTER TWO 2014 WEEK 11 WRITTEN EXAMINATION 1 SOLUTIONS
MASTER CLASS PROGRAM UNIT SPECIALIST MATHEMATICS SEMESTER TWO WEEK WRITTEN EXAMINATION SOLUTIONS FOR ERRORS AND UPDATES, PLEASE VISIT WWW.TSFX.COM.AU/MC-UPDATES QUESTION () Lt p ( z) z z z If z i z ( is
More information2. Background Material
S. Blair Sptmbr 3, 003 4. Background Matrial Th rst of this cours dals with th gnration, modulation, propagation, and ction of optical radiation. As such, bic background in lctromagntics and optics nds
More informationEnergy creation in a moving solenoid? Abstract
Energy cretion in moving solenoid? Nelson R. F. Brg nd Rnieri V. Nery Instituto de Físic, Universidde Federl do Rio de Jneiro, Cix Postl 68528, RJ 21941-972 Brzil Abstrct The electromgnetic energy U em
More information1 Isoparametric Concept
UNIVERSITY OF CALIFORNIA BERKELEY Dpartmnt of Civil Enginring Spring 06 Structural Enginring, Mchanics and Matrials Profssor: S. Govindj Nots on D isoparamtric lmnts Isoparamtric Concpt Th isoparamtric
More informationJournal of System Design and Dynamics
Journl of Systm Dsign nd Dynmics Vol. 1, No. 3, 7 A Numricl Clcultion Modl of Multi Wound Foil Bring with th Effct of Foil Locl Dformtion * Ki FENG** nd Shighiko KANEKO** ** Dprtmnt of Mchnics Enginring,
More informationStatus of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.)
Status of LAr TPC R&D (2) 214/Dc./23 Nutrino frontir workshop 214 Ryosuk Sasaki (Iwat U.) Tabl of Contnts Dvlopmnt of gnrating lctric fild in LAr TPC Introduction - Gnrating strong lctric fild is on of
More information2008 AP Calculus BC Multiple Choice Exam
008 AP Multipl Choic Eam Nam 008 AP Calculus BC Multipl Choic Eam Sction No Calculator Activ AP Calculus 008 BC Multipl Choic. At tim t 0, a particl moving in th -plan is th acclration vctor of th particl
More informationContinuous Random Variables: Basics
Continuous Rndom Vrils: Bsics Brlin Chn Dprtmnt o Computr Scinc & Inormtion Enginring Ntionl Tiwn Norml Univrsit Rrnc: - D.. Brtss, J. N. Tsitsilis, Introduction to roilit, Sctions 3.-3.3 Continuous Rndom
More information1.2 Faraday s law A changing magnetic field induces an electric field. Their relation is given by:
Elctromagntic Induction. Lorntz forc on moving charg Point charg moving at vlocity v, F qv B () For a sction of lctric currnt I in a thin wir dl is Idl, th forc is df Idl B () Elctromotiv forc f s any
More informationElectromagnetic scattering. Graduate Course Electrical Engineering (Communications) 1 st Semester, Sharif University of Technology
Elctromagntic scattring Graduat Cours Elctrical Enginring (Communications) 1 st Smstr, 1388-1389 Sharif Univrsity of Tchnology Contnts of lctur 8 Contnts of lctur 8: Scattring from small dilctric objcts
More informationDynamic Modelling of Hoisting Steel Wire Rope. Da-zhi CAO, Wen-zheng DU, Bao-zhu MA *
17 nd Intrnational Confrnc on Mchanical Control and Automation (ICMCA 17) ISBN: 978-1-6595-46-8 Dynamic Modlling of Hoisting Stl Wir Rop Da-zhi CAO, Wn-zhng DU, Bao-zhu MA * and Su-bing LIU Xi an High
More informationModule 8 Non equilibrium Thermodynamics
Modul 8 Non quilibrium hrmodynamics ctur 8.1 Basic Postulats NON-EQUIIRIBIUM HERMODYNAMICS Stady Stat procsss. (Stationary) Concpt of ocal thrmodynamic qlbm Extnsiv proprty Hat conducting bar dfin proprtis
More informationAcoustic impedance characteristics of linear compressors *
9 Gn t l / J Zhjing Univ-Sci A (Appl Phys & Eng) (7):9-5 Journl of Zhjing Univrsity-SCIENCE A (Applid Physics & Enginring) ISSN 67-565X (Print); ISSN 86-775 (Onlin) wwwzjuducn/jzus; wwwspringrlinkco E-il:
More informationWhy is a E&M nature of light not sufficient to explain experiments?
1 Th wird world of photons Why is a E&M natur of light not sufficint to xplain xprimnts? Do photons xist? Som quantum proprtis of photons 2 Black body radiation Stfan s law: Enrgy/ ara/ tim = Win s displacmnt
More information( ) Geometric Operations and Morphing. Geometric Transformation. Forward v.s. Inverse Mapping. I (x,y ) Image Processing - Lesson 4 IDC-CG 1
Img Procssing - Lsson 4 Gomtric Oprtions nd Morphing Gomtric Trnsformtion Oprtions dpnd on Pil s Coordints. Contt fr. Indpndnt of pil vlus. f f (, ) (, ) ( f (, ), f ( ) ) I(, ) I', (,) (, ) I(,) I (,
More informationNEW APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA
NE APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA Mirca I CÎRNU Ph Dp o Mathmatics III Faculty o Applid Scincs Univrsity Polithnica o Bucharst Cirnumirca @yahoocom Abstract In a rcnt papr [] 5 th indinit intgrals
More informationDefinition1: The ratio of the radiation intensity in a given direction from the antenna to the radiation intensity averaged over all directions.
Dirctivity or Dirctiv Gain. 1 Dfinition1: Dirctivity Th ratio of th radiation intnsity in a givn dirction from th antnna to th radiation intnsity avragd ovr all dirctions. Dfinition2: Th avg U is obtaind
More informationStatus and Development of KAERI Atomic Database
nd Mting o th tomic nd Molculr Dt Cntrs Sttus nd Dvlopmnt o KERI tomic Dtbs D.-H. Kwon Nuclr Dt Cntr Kor tomic Enrgy Rsrch Institut 4 Sptmbr 013 Outlin History Ovrviw Rcnt ctivitis Futur Plns Summry &
More informationSection 3: Antiderivatives of Formulas
Chptr Th Intgrl Appli Clculus 96 Sction : Antirivtivs of Formuls Now w cn put th is of rs n ntirivtivs togthr to gt wy of vluting finit intgrls tht is ct n oftn sy. To vlut finit intgrl f(t) t, w cn fin
More informationELECTRON-MUON SCATTERING
ELECTRON-MUON SCATTERING ABSTRACT Th lctron charg is considrd to b distributd or xtndd in spac. Th diffrntial of th lctron charg is st qual to a function of lctron charg coordinats multiplid by a four-dimnsional
More informationCompact Guide Cylinder with One-way Lock Series MLGP ø40, ø50, ø63. Prevents dropping when air supply pressure falls or residual pressure is exhausted
Compct uid Cylindr with On-wy ock ris MP ø, ø, ø Prvnts dropping whn ir supply prssur flls or rsidul prssur is xhustd Cn lockd t ny position h locking position cn chngd to ccommodt n xtrnl stoppr position
More informationErrata for Second Edition, First Printing
Errt for Scond Edition, First Printing pg 68, lin 1: z=.67 should b z=.44 pg 71: Eqution (.3) should rd B( R) = θ R 1 x= [1 G( x)] pg 1: Eqution (.63) should rd B( R) = x= R = θ ( x R) p( x) R 1 x= [1
More information# 1 ' 10 ' 100. Decimal point = 4 hundred. = 6 tens (or sixty) = 5 ones (or five) = 2 tenths. = 7 hundredths.
How os it work? Pl vlu o imls rprsnt prts o whol numr or ojt # 0 000 Tns o thousns # 000 # 00 Thousns Hunrs Tns Ons # 0 Diml point st iml pl: ' 0 # 0 on tnth n iml pl: ' 0 # 00 on hunrth r iml pl: ' 0
More informationSER/BER in a Fading Channel
SER/BER in a Fading Channl Major points for a fading channl: * SNR is a R.V. or R.P. * SER(BER) dpnds on th SNR conditional SER(BER). * Two prformanc masurs: outag probability and avrag SER(BER). * Ovrall,
More informationOn the Hamiltonian of a Multi-Electron Atom
On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making
More information22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.
Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M
More informationSAFE HANDS & IIT-ian's PACE EDT-15 (JEE) SOLUTIONS
It is not possibl to find flu through biggr loop dirctly So w will find cofficint of mutual inductanc btwn two loops and thn find th flu through biggr loop Also rmmbr M = M ( ) ( ) EDT- (JEE) SOLUTIONS
More informationDynamic response of a finite length euler-bernoulli beam on linear and nonlinear viscoelastic foundations to a concentrated moving force
Journal of Mchanical Scinc and Tchnology 2 (1) (21) 1957~1961 www.springrlink.com/contnt/1738-9x DOI 1.17/s1226-1-7-x Dynamic rspons of a finit lngth ulr-brnoulli bam on linar and nonlinar viscolastic
More informationINVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD
INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD Gökçen ERYILMAZ TÜRKKAN, Serdr KORKMAZ Uludg University, Civil Engineering Deprtment, Burs, Turkey geryilmz@uludg.edu.tr,
More informationTransitional Probability Model for a Serial Phases in Production
Jurnal Karya Asli Lorkan Ahli Matmatik Vol. 3 No. 2 (2010) pag 49-54. Jurnal Karya Asli Lorkan Ahli Matmatik Transitional Probability Modl for a Srial Phass in Production Adam Baharum School of Mathmatical
More informationThe Equitable Dominating Graph
Intrnational Journal of Enginring Rsarch and Tchnology. ISSN 0974-3154 Volum 8, Numbr 1 (015), pp. 35-4 Intrnational Rsarch Publication Hous http://www.irphous.com Th Equitabl Dominating Graph P.N. Vinay
More informationThe van der Waals interaction 1 D. E. Soper 2 University of Oregon 20 April 2012
Th van dr Waals intraction D. E. Sopr 2 Univrsity of Orgon 20 pril 202 Th van dr Waals intraction is discussd in Chaptr 5 of J. J. Sakurai, Modrn Quantum Mchanics. Hr I tak a look at it in a littl mor
More informationAnalysis of Cantilever beams in Liquid Media: A case study of a microcantilever
Intrntionl Journl of Enginring Scinc Invntion (IJESI) ISSN (Onlin): 9 67, ISSN (Prin: 9 676 www.ijsi.org ǁ PP.57-6 Anlysis of Cntilvr bms in iquid Mdi: A cs study of microcntilvr S. Mnojkumr * nd J. Srinivs
More informationFixed-Point Harmonic-Balanced Method for Nonlinear Eddy Current Problems
Intrnational Journal of Enrgy and Powr Enginring 206; 5(-): 37-4 Publishd onlin Octobr 4, 205 (http://www.scincpublishinggroup.com/j/ijp) doi: 0.648/j.ijp.s.2060500.5 ISSN: 2326-957X (Print); ISSN: 2326-960X
More information(Semi)Classical thermionic emission
Tunnling - primr Nno oftn pprs in rl tchnology in th form of thin lyrs or brrirs. W r going to look t svrl wys lctrons cn trnsport ovr or through ths brrirs undr vrious conditions. Thrmionic mission clssicl
More informationFunction Spaces. a x 3. (Letting x = 1 =)) a(0) + b + c (1) = 0. Row reducing the matrix. b 1. e 4 3. e 9. >: (x = 1 =)) a(0) + b + c (1) = 0
unction Spacs Prrquisit: Sction 4.7, Coordinatization n this sction, w apply th tchniqus of Chaptr 4 to vctor spacs whos lmnts ar functions. Th vctor spacs P n and P ar familiar xampls of such spacs. Othr
More informationLecture 6 Thermionic Engines
Ltur 6 hrmioni ngins Rviw Rihrdson formul hrmioni ngins Shotty brrir nd diod pn juntion nd diod disussion.997 Copyright Gng Chn, MI For.997 Dirt Solr/hrml to ltril nrgy Convrsion WARR M. ROHSOW HA AD MASS
More information0WAVE PROPAGATION IN MATERIAL SPACE
0WAVE PROPAGATION IN MATERIAL SPACE All forms of EM nrgy shar thr fundamntal charactristics: 1) thy all tral at high locity 2) In traling, thy assum th proprtis of was 3) Thy radiat outward from a sourc
More informationErrata for Second Edition, First Printing
Errt for Scond Edition, First Printing pg 68, lin 1: z=.67 should b z=.44 pg 1: Eqution (.63) should rd B( R) = x= R = θ ( x R) p( x) R 1 x= [1 G( x)] = θp( R) + ( θ R)[1 G( R)] pg 15, problm 6: dmnd of
More informationSpatially Correlated 3-D HAP-MIMO Fading Channels
ptilly Corrltd 3-D -MIMO Fding Chnnls Emmnoul Michilidis Gorg Efthymoglou nd Athnsios G Knts Dprtmnt of Digitl ystms Univrsity of Pirus Pirus Grc {michil gfthymo knts}@unipigr Abstrct his ppr proposs thr-dimnsionl
More informationStress and Strain Analysis of Notched Bodies Subject to Non-Proportional Loadings
World Acdmy of Scinc Enginring nd Tchnology Intrntionl Journl of Mchnicl nd Mchtronics Enginring Strss nd Strin Anlysis of Notchd Bodis Subjct to Non-Proportionl Lodings A. Inc Intrntionl Scinc Indx Mchnicl
More informationThe influence of electron trap on photoelectron decay behavior in silver halide
Th influnc of lctron trap on photolctron dcay bhavior in silvr halid Rongjuan Liu, Xiaowi Li 1, Xiaodong Tian, Shaopng Yang and Guangshng Fu Collg of Physics Scinc and Tchnology, Hbi Univrsity, Baoding,
More informationCONIC SECTIONS. MODULE-IV Co-ordinate Geometry OBJECTIVES. Conic Sections
Conic Sctions 16 MODULE-IV Co-ordint CONIC SECTIONS Whil cutting crrot ou might hv noticd diffrnt shps shown th dgs of th cut. Anlticll ou m cut it in thr diffrnt ws, nml (i) (ii) (iii) Cut is prlll to
More informationOn spanning trees and cycles of multicolored point sets with few intersections
On spanning trs and cycls of multicolord point sts with fw intrsctions M. Kano, C. Mrino, and J. Urrutia April, 00 Abstract Lt P 1,..., P k b a collction of disjoint point sts in R in gnral position. W
More informationIntegration by Parts
Intgration by Parts Intgration by parts is a tchniqu primarily for valuating intgrals whos intgrand is th product of two functions whr substitution dosn t work. For ampl, sin d or d. Th rul is: u ( ) v'(
More informationThe pn junction: 2 Current vs Voltage (IV) characteristics
Th pn junction: Currnt vs Voltag (V) charactristics Considr a pn junction in quilibrium with no applid xtrnal voltag: o th V E F E F V p-typ Dpltion rgion n-typ Elctron movmnt across th junction: 1. n
More informationFSA. CmSc 365 Theory of Computation. Finite State Automata and Regular Expressions (Chapter 2, Section 2.3) ALPHABET operations: U, concatenation, *
CmSc 365 Thory of Computtion Finit Stt Automt nd Rgulr Exprssions (Chptr 2, Sction 2.3) ALPHABET oprtions: U, conctntion, * otin otin Strings Form Rgulr xprssions dscri Closd undr U, conctntion nd * (if
More informationA New Approach to the Fatigue Life Prediction for Notched Components Under Multiaxial Cyclic Loading. Zhi-qiang TAO and De-guang SHANG *
2017 2nd Intrnational Conrnc on Applid Mchanics, Elctronics and Mchatronics Enginring (AMEME 2017) ISBN: 978-1-60595-497-4 A Nw Approach to th Fatigu Li Prdiction or Notchd Componnts Undr Multiaxial Cyclic
More informationPhys. 506 Electricity and Magnetism Winter 2004 Prof. G. Raithel Problem Set 1 Total 30 Points. 1. Jackson Points
Phys. 56 Electricity nd Mgnetism Winter 4 Prof. G. Rithel Prolem Set Totl 3 Points. Jckson 8. Points : The electric field is the sme s in the -dimensionl electrosttic prolem of two concentric cylinders,
More informationBackground: We have discussed the PIB, HO, and the energy of the RR model. In this chapter, the H-atom, and atomic orbitals.
Chaptr 7 Th Hydrogn Atom Background: W hav discussd th PIB HO and th nrgy of th RR modl. In this chaptr th H-atom and atomic orbitals. * A singl particl moving undr a cntral forc adoptd from Scott Kirby
More informationTHE P-PERSISTENT CSMA WITH THE FUNCTION OF MONITORING BASED ON TIME DIVISION MECHA- NISM
ISSN:3-56 Intrnational Journal of Innovativ Rsarch in Tchnology & Scinc(IJIRTS) THE P-PERSISTENT CSMA WITH THE FUNCTION OF MONITORING BASED ON TIME DIVISION MECHA- NISM Yifan Zhao, Yunnan Univrsity, Kunming,
More informationABEL TYPE THEOREMS FOR THE WAVELET TRANSFORM THROUGH THE QUASIASYMPTOTIC BOUNDEDNESS
Novi Sad J. Math. Vol. 45, No. 1, 2015, 201-206 ABEL TYPE THEOREMS FOR THE WAVELET TRANSFORM THROUGH THE QUASIASYMPTOTIC BOUNDEDNESS Mirjana Vuković 1 and Ivana Zubac 2 Ddicatd to Acadmician Bogoljub Stanković
More informationWinter 2016 COMP-250: Introduction to Computer Science. Lecture 23, April 5, 2016
Wintr 2016 COMP-250: Introduction to Computr Scinc Lctur 23, April 5, 2016 Commnt out input siz 2) Writ ny lgorithm tht runs in tim Θ(n 2 log 2 n) in wors cs. Explin why this is its running tim. I don
More informationQuestions. denotes answer available in Student Solutions Manual/Study Guide; O denotes objective question
Qustions 95 Qustions dnots nswr vill in tudnt olutions Mnul/tudy Guid; O dnots ojctiv qustion. Th currnt in circuit contining coil, rsistor, nd ttry hs rchd constnt vlu. Dos th coil hv n inductnc? Dos
More informationPH427/PH527: Periodic systems Spring Overview of the PH427 website (syllabus, assignments etc.) 2. Coupled oscillations.
Dy : Mondy 5 inuts. Ovrviw of th PH47 wsit (syllus, ssignnts tc.). Coupld oscilltions W gin with sss coupld y Hook's Lw springs nd find th possil longitudinl) otion of such syst. W ll xtnd this to finit
More informationFINITE BEAM ELEMENT WITH PIEZOELECTRIC LAYERS AND FUNCTIONALLY GRADED MATERIAL OF CORE
ECCOMAS Congrss 20 II Europan Congrss on Computational Mthods in Applid Scincs and Enginring M. Papadrakakis,. Papadopoulos, G. Stfanou,. Plvris (ds.) Crt Island, Grc, 5 0 Jun 20 FINITE BEAM ELEMENT WITH
More informationMCE503: Modeling and Simulation of Mechatronic Systems Discussion on Bond Graph Sign Conventions for Electrical Systems
MCE503: Modling and Simulation o Mchatronic Systms Discussion on Bond Graph Sign Convntions or Elctrical Systms Hanz ichtr, PhD Clvland Stat Univrsity, Dpt o Mchanical Enginring 1 Basic Assumption In a
More informationSTATISTICAL PROPERTIES ANALYSIS OF Er 3+ -DOPED Ti:LiNbO 3 M -MODE STRAIGHT WAVEGUIDE AMPLIFIERS
Journal of Optolctronics and Advancd Matrials Vol. 6 No. March 4 p. 63-69 STATISTICAL PROPERTIES ANALYSIS OF Er 3+ -DOPED Ti:LiNbO 3 M -MODE STRAIGHT WAVEGUIDE AMPLIFIERS N. N. Puscas * Physics Dpartmnt
More informationProcdings of IC-IDC0 ( and (, ( ( and (, and (f ( and (, rspctivly. If two input signals ar compltly qual, phas spctra of two signals ar qual. That is
Procdings of IC-IDC0 EFFECTS OF STOCHASTIC PHASE SPECTRUM DIFFERECES O PHASE-OLY CORRELATIO FUCTIOS PART I: STATISTICALLY COSTAT PHASE SPECTRUM DIFFERECES FOR FREQUECY IDICES Shunsu Yamai, Jun Odagiri,
More informationDavisson Germer experiment Announcements:
Davisson Grmr xprimnt Announcmnts: Homwork st 7 is du Wdnsday. Problm solving sssions M3-5, T3-5. Th 2 nd midtrm will b April 7 in MUEN E0046 at 7:30pm. BFFs: Davisson and Grmr. Today w will go ovr th
More informationSECTION where P (cos θ, sin θ) and Q(cos θ, sin θ) are polynomials in cos θ and sin θ, provided Q is never equal to zero.
SETION 6. 57 6. Evaluation of Dfinit Intgrals Exampl 6.6 W hav usd dfinit intgrals to valuat contour intgrals. It may com as a surpris to larn that contour intgrals and rsidus can b usd to valuat crtain
More information