67. COMPRESSIONAL WAVE VELOCITIES, DENSITIES, AND POROSITIES OF BASALTS FROM HOLES 417A, 417D, AND 418A, DEEP SEA DRILLING PROJECT LEGS 51-53
|
|
- Emerald Fisher
- 5 years ago
- Views:
Transcription
1 67. COMPRESSIOAL WAVE VELOCITIES, DESITIES, AD POROSITIES OF BASALTS FROM HOLES 417A, 417D, AD 418A, DEEP SEA DRILLIG PROJECT LEGS I. Chistensen, 1 S.C. Bli, 2 R.H. Wilkens, 3 nd M.H. Slisuy 4 ITRODUCTIO It hs long een suspected tht the seismic velocity of t lest the uppe level of Lye is contolled not only y the intinsic velocity of the ocks of which it is composed, ut y the pesence of wte-filled ccks nd voids. By comping lotoy mesuements of compessionl wve velocity though slts ecoveed fom Hole 417D, with the esults of the olique seismic expeiment (Stephen et l., this volume) nd logging (Slisuy et l., this volume) fo the sme hole, it should e possile fo the fist time to evlute the ole of such ccks upon velocity in the uppe few hunded metes of the ocenic cust. Since seismic velocities e extemely sensitive to confining pessue (e.g., Bich, 1960) ny such evlution must e sed on lotoy mesuements of velocity t elevted pessues ppopite in situ conditions. In this ppe, we pesent compessionl wve velocities to hydosttic confining pessues of 6 k fo smples of slt fom Holes 417A, 417D, nd 418A. In ddition, ulk densities nd poosities hve een mesued nd e shown to coelte well with the compessionl wve velocities. Of pticul significnce, slt velocities fom these sites e shown to decese linely with incesing poosity. EXPERIMETAL TECHIQUES AD DATA Pio to velocity mesuement, ech smple ws cut to ight cylinde ( cm in dimete nd 3 to 5 cm in length) nd then i-died, mesued, nd weighed to detemine its dy-ulk density. The smples wee then wte-stuted nd eweighed to otin wet-ulk densities nd effective poosities. Afte weighing, the stuted smples wee jcketed with coppe foil nd 1-MHz ium titnte tnsduces wee ttched to the coe ends. The compessionl wve velocity though ech smple ws then detemined using the pulse tnsmission technique of Bich (1960). Poe pessues wee mintined t vlues lowe thn extenl pessues y plcing 100 mesh sceen etween the smples nd coppe jckets. Pessue ws pplied to the smples y mens of two-stge intensifie with low viscosity oil s the pessue medium. Pessue ws mesued using clited mngnin coil. 1 Deptment of Geologicl Sciences, Gdute Pogm in Geophysics nd Deptment of Ocenogphy, Univesity of Wshington, Settle, Wshington. 2 Gdute Pogm in Geophysics, Univesity of Wshington, Settle, Wshington. 3 Deptment of Geologicl Sciences, Univesity of Wshington, Settle, Wshington. 4 Scipps Institution of Ocenogphy, Univesity of Clifoni, L Joll, Clifoni. Velocities t -k intevls to 1 k nd t lge intevls to 6 k, togethe with wet-ulk densities nd effective poosities t tmospheic pessue e given in Tle 1. Aove 1 k, the velocities e ccute to within 1 pe cent (Chistensen nd Shw, 1970). At lowe pessues, the velocities cn only e estimted to ±3 pe cent ecuse of signl ttenution. VELOCITY-DESITY RELATIOS Pevious investigtions hve demonstted n excellent coeltion etween compessionl wve velocity nd ulk density in ocks unde confining pessues to 10 k (e.g., Bich, 1960; Chistensen nd Slisuy, 1975). It is desile to fomulte velocity-density coeltions so tht seismic velocities oseved in situ my e used to detemine the distiution of density with depth. Compessionl wve velocities fo the sltic ocks studied fom Holes 417A, 417D, nd 418A nge fom 3.11 to 6.68 km/s nd wet ulk densities nge fom 2.10 to 2.96 g/cm 3. Figue 1 pesents the compessionl wve velocity (V P ) t 1 k vesus wet ulk density (p) fo these smples. Included in Figue 1 e line nd polic egessions of velocity vesus density fo 77 DSDP slts studied y Chistensen nd Slisuy (1975) with pmetes: V p = p V P = p 3 " Dt fom the cuent smples usully fll within ± km/s of the non line pedicto except fo the smple fom Section 417D-28-5, geenstone (p = 8 g/cm :! nd V P = km/s) which flls ove the sltic tends. Tle 2 includes line egession pmetes fo V P vesus p using vlues of V P mesued t, 1, nd 6 k fo smples. Mny smples fom Hole 418A tht wee coed t depths etween 710 nd 862 metes su-ottom exhiit densities gete thn 2. g/cm 3 nd ccount fo most of the high density points in Figue 1. Smples fom Hole 417D, on the othe hnd, wee ecoveed fom depths etween 345 nd 696 metes su-ottom nd hve modete densities; slts coed fom etween 218 nd 412 metes in Hole 417 A nge in density fom 2.90 g/cm 3 to vlues s low s 2.10 g/cm 3 ne the top of the sement. Thus, genel incese in density with su-ottom depth is oseved. Exmintion of the coed smples suggests tht this incese in density with depth coesponds to decese in ltetion. VELOCITY/POROSITY RELATIOSHIPS Figue 2 epesents plot of compessionl wve velocity t 1 k vesus effective poosity. Coeltion etween the 1467
2 . I. CHRISTESE, S. C. BLAIR, R. H. WILKES, M. H. SALISBURY TABLE 1 Velocities, Densities, nd Poosities Smple (Intevl in cm) 417A-24-1, A-25-1, A-27-1, A-28-6, A-30-4, A-31-3, A-32-4, A-34-3, A-37-1, A-38-4, A-42-6, A-44-3, A-46-4, D-22-1, D-22-6, D D-274, D-28-2, D-28-7, D D-30-1, D-31-1, D-32-5, D-33-2, D-34-2, D-35-2, D-37-2, D-39-1, D-394, D-40-1, D-42-2, D-43-2, D44-1, D-45-2, D-48-6, D-50-2, D-52-2, D-554, D-58-3, D-60-2, D-62-1, D-66-3, D-67-4, A-15-1, A-16-3, A-18-1, A-20-2, A-25-1, A-26-3, A-28-1, A-30-4, A-33-1, A A-35-5, A-39-2, A-41-1, A41-3, A424, A44-l, A-46-1, A48-l, A-4 9-2, A-51-2, A-52-3, A-54-2, A-55-2, A-56-1, A-57-2, A-60-6, A A-63-5, A-64-l, A-65-l, A A-69-l, A-71-1, A-73-1, A-74-1, A A-78-6, A A-80-2, A-81-5, A-82-1, A-83-2, A-84-2, A--2, A-86-2, Bulk Density (g/cm3) Poosity _ _ Compessionl Wve Velocity t Vying Pessues (k)
3 BASALT VELOCITIES, DESITIES, AD POROSITIES E ;* DESITY Figue 1. Compessionl wve velocity t k plotted ginst wet-ulk density. Line nd non-line solutions fom Chistensen nd Slisuy (1975). two pmetes is quite good, not only t 1 k, s illustted, ut lso t nd k. Sttistics nd egession pmetes e given fo ll thee coeltions in Tle 2. The coeltion is even moe emkle given the low ccucy of the poosity detemintion (±%). Vlues of poosity nge fom 0.0 to 11.3 pe cent, with lmost ll of the smples (83) hving vlues less thn pe cent. As expected t low confining pessues, the high-density, high-velocity smples (notly those fom the lowe sections of Hole 418A) exhiit low poosities. Wht is significnt is the fct tht the velocity/poosity coeltion is not sustntilly educed t 6 k, s might e nticipted if the confining pessue wee effective in closing the ccks nd voids in the slt which e esponsile fo its poosity. An ttempt to coelte the incese in mesued velocity with smple poosity in the to k nd to k intevls shows the incese in velocity to e lmost totlly independent of poosity, the coeltion coefficients eing on the ode of 0.10 to 0. The independence of the velocity/poosity eltionship fom confining pessue my e esult of the mechnism y which voids e fomed in ocenic slts. Plutonic ocks which hve een exposed t the eth's sufce wee fomed in egimes of high confining pessue. A lge pt of the poosity in such smples cn poly e elted to the effects of pessue elese; convesely, incesing confining pessue duing mesuements mde on such ocks should tend to evese these effects. This is not the cse fo ocenic slts which wee extuded in molten stte t ocen idge cests whee the confining pessue due to the ovelying column of se wte is genelly on the ode of only 5 to 0.35 k. Voids fomed in this egime cn e expected to e eithe vesicles due to tpped mgmtic gses o ccks which e the esult of theml contction s the slt cools. eithe of these void types need close completely unde the ppliction of high confining pessue. Futhemoe, the effect of ltetion of the slts t the idge cests might futhe tend to inhiit the closue of ccks t high confining pessues. Since the ccks esponsile (in pt) fo the poosity of sumine slts wee fomed y theml contction the thn pessue elese, it would e inteesting, especilly in the feshe smples, to exmine the effect of elevted tempetues on the velocity/poosity eltionship. DESITY/POROSITY RELATIOSHIPS The plot of density vesus poosity (Figue 3) exhiits tend which, s expected, indictes lowe ulk density fo the smples with highe poosity. The lge mount of sctte out the egession line in compison to the velocity/density nd velocity/poosity compisons in Figues 1 nd 2 is poly due oth to the low ccucy of the poosity mesuement nd to the extent nd minelogy of ltetion, which would tend to lowe density vlues independently of poosity. ACKOWLEDGMETS J. Hull, G. Bussod, nd R. Pio ssisted in the velocity mesuements. Finncil suppot ws povided y the Office of vl Resech Contct C REFERECES Bich, F., The velocity of compessionl wves in ocks to 10 kilos, 1,7. Geophys. Res., v. 65, p
4 . I. CHRISTESE, S. C. BLAIR, R. H. WILKES, M. H. SALISBURY TABLE 2 Regession Line Pmetes Vp = +p Pessue, k (k«/s i/g/cm 3 ) S (V,p) Vp = +0 Pessue, k (km/s/%) S (V,tf>) p = (g/cm 3 /%) S (p,φ) Φ ~ +p (%/) S (ΦP) p = +Vp Pessue, k (g/cm 3 /km/s) (p,vp) Φ = +Vp Pessue, k %/ S (Φ,Vp) ote: is the nume of dt points; S(,), stndd eo of estimte of on ;, coeltion coefficient;, coefficient of detemintion; p, wet ulk density; Φ, poosity; V p, compessionl wve velocity. Chistensen,.I. nd Slisuy, M.H., Stuctue nd constitution of the lowe ocenic cust, Rev. Geophys. Spce Phys., v. 13, p Chistensen,.I. nd Shw, G.H., Elsticity of mfic ocks fom the Mid-Atlntic Ridge, Geophys. J. Roy. Aston. Soc, v. 20, p
5 BASALT VELOCITIES, DESITIES, AD POROSITIES 7.0 \ ' > A + 417D Δ 418A POROSITY i i i i i i, i i Figue 2. Compessionl wve velocity t k plotted ginst effective poosity. Line solution fom Tle 1. I ' i i i ' i ' i I A + 417D Δ 418A POROSITY Figue 3. Wet-ulk density plotted ginst poosity. Line solution fom Tle
Discrete Model Parametrization
Poceedings of Intentionl cientific Confeence of FME ession 4: Automtion Contol nd Applied Infomtics Ppe 9 Discete Model Pmetition NOKIEVIČ, Pet Doc,Ing,Cc Deptment of Contol ystems nd Instumenttion, Fculty
More information( ) D x ( s) if r s (3) ( ) (6) ( r) = d dr D x
SIO 22B, Rudnick dpted fom Dvis III. Single vile sttistics The next few lectues e intended s eview of fundmentl sttistics. The gol is to hve us ll speking the sme lnguge s we move to moe dvnced topics.
More informationFourier-Bessel Expansions with Arbitrary Radial Boundaries
Applied Mthemtics,,, - doi:./m.. Pulished Online My (http://www.scirp.og/jounl/m) Astct Fouie-Bessel Expnsions with Aity Rdil Boundies Muhmmd A. Mushef P. O. Box, Jeddh, Sudi Ai E-mil: mmushef@yhoo.co.uk
More information10 Statistical Distributions Solutions
Communictions Engineeing MSc - Peliminy Reding 1 Sttisticl Distiutions Solutions 1) Pove tht the vince of unifom distiution with minimum vlue nd mximum vlue ( is ) 1. The vince is the men of the sques
More information9.4 The response of equilibrium to temperature (continued)
9.4 The esponse of equilibium to tempetue (continued) In the lst lectue, we studied how the chemicl equilibium esponds to the vition of pessue nd tempetue. At the end, we deived the vn t off eqution: d
More informationFI 2201 Electromagnetism
FI 1 Electomgnetism Alexnde A. Isknd, Ph.D. Physics of Mgnetism nd Photonics Resech Goup Electosttics ELECTRIC PTENTIALS 1 Recll tht we e inteested to clculte the electic field of some chge distiution.
More informationPhysics 604 Problem Set 1 Due Sept 16, 2010
Physics 64 Polem et 1 Due ept 16 1 1) ) Inside good conducto the electic field is eo (electons in the conducto ecuse they e fee to move move in wy to cncel ny electic field impessed on the conducto inside
More informationSchool of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007
School of Electicl nd Compute Engineeing, Conell Univesity ECE 303: Electomgnetic Fields nd Wves Fll 007 Homewok 3 Due on Sep. 14, 007 by 5:00 PM Reding Assignments: i) Review the lectue notes. ii) Relevnt
More informationTests for Correlation on Bivariate Non-Normal Data
Jounl of Moden Applied Sttisticl Methods Volume 0 Issue Aticle 9 --0 Tests fo Coeltion on Bivite Non-Noml Dt L. Bevesdof Noth Colin Stte Univesity, lounneb@gmil.com Ping S Univesity of Noth Floid, ps@unf.edu
More informationElectric Potential. and Equipotentials
Electic Potentil nd Euipotentils U Electicl Potentil Review: W wok done y foce in going fom to long pth. l d E dl F W dl F θ Δ l d E W U U U Δ Δ l d E W U U U U potentil enegy electic potentil Potentil
More informationClass Summary. be functions and f( D) , we define the composition of f with g, denoted g f by
Clss Summy.5 Eponentil Functions.6 Invese Functions nd Logithms A function f is ule tht ssigns to ech element D ectly one element, clled f( ), in. Fo emple : function not function Given functions f, g:
More informationAlgebra Based Physics. Gravitational Force. PSI Honors universal gravitation presentation Update Fall 2016.notebookNovember 10, 2016
Newton's Lw of Univesl Gvittion Gvittionl Foce lick on the topic to go to tht section Gvittionl Field lgeb sed Physics Newton's Lw of Univesl Gvittion Sufce Gvity Gvittionl Field in Spce Keple's Thid Lw
More informationU>, and is negative. Electric Potential Energy
Electic Potentil Enegy Think of gvittionl potentil enegy. When the lock is moved veticlly up ginst gvity, the gvittionl foce does negtive wok (you do positive wok), nd the potentil enegy (U) inceses. When
More informationChapter 7. Kleene s Theorem. 7.1 Kleene s Theorem. The following theorem is the most important and fundamental result in the theory of FA s:
Chpte 7 Kleene s Theoem 7.1 Kleene s Theoem The following theoem is the most impotnt nd fundmentl esult in the theoy of FA s: Theoem 6 Any lnguge tht cn e defined y eithe egul expession, o finite utomt,
More information3.1 Magnetic Fields. Oersted and Ampere
3.1 Mgnetic Fields Oested nd Ampee The definition of mgnetic induction, B Fields of smll loop (dipole) Mgnetic fields in mtte: ) feomgnetism ) mgnetiztion, (M ) c) mgnetic susceptiility, m d) mgnetic field,
More informationPreviously. Extensions to backstepping controller designs. Tracking using backstepping Suppose we consider the general system
436-459 Advnced contol nd utomtion Extensions to bckstepping contolle designs Tcking Obseves (nonline dmping) Peviously Lst lectue we looked t designing nonline contolles using the bckstepping technique
More informationOptimization. x = 22 corresponds to local maximum by second derivative test
Optimiztion Lectue 17 discussed the exteme vlues of functions. This lectue will pply the lesson fom Lectue 17 to wod poblems. In this section, it is impotnt to emembe we e in Clculus I nd e deling one-vible
More informationReview of Mathematical Concepts
ENEE 322: Signls nd Systems view of Mthemticl Concepts This hndout contins ief eview of mthemticl concepts which e vitlly impotnt to ENEE 322: Signls nd Systems. Since this mteil is coveed in vious couses
More informationFluids & Bernoulli s Equation. Group Problems 9
Goup Poblems 9 Fluids & Benoulli s Eqution Nme This is moe tutoil-like thn poblem nd leds you though conceptul development of Benoulli s eqution using the ides of Newton s 2 nd lw nd enegy. You e going
More informationImportant design issues and engineering applications of SDOF system Frequency response Functions
Impotnt design issues nd engineeing pplictions of SDOF system Fequency esponse Functions The following desciptions show typicl questions elted to the design nd dynmic pefomnce of second-ode mechnicl system
More informationHomework 3 MAE 118C Problems 2, 5, 7, 10, 14, 15, 18, 23, 30, 31 from Chapter 5, Lamarsh & Baratta. The flux for a point source is:
. Homewok 3 MAE 8C Poblems, 5, 7, 0, 4, 5, 8, 3, 30, 3 fom Chpte 5, msh & Btt Point souces emit nuetons/sec t points,,, n 3 fin the flux cuent hlf wy between one sie of the tingle (blck ot). The flux fo
More informationLecture 10. Solution of Nonlinear Equations - II
Fied point Poblems Lectue Solution o Nonline Equtions - II Given unction g : R R, vlue such tht gis clled ied point o the unction g, since is unchnged when g is pplied to it. Whees with nonline eqution
More informationπ,π is the angle FROM a! TO b
Mth 151: 1.2 The Dot Poduct We hve scled vectos (o, multiplied vectos y el nume clled scl) nd dded vectos (in ectngul component fom). Cn we multiply vectos togethe? The nswe is YES! In fct, thee e two
More informationDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING FLUID MECHANICS III Solutions to Problem Sheet 3
DEPATMENT OF CIVIL AND ENVIONMENTAL ENGINEEING FLID MECHANICS III Solutions to Poblem Sheet 3 1. An tmospheic vote is moelle s combintion of viscous coe otting s soli boy with ngul velocity Ω n n iottionl
More informationPhysics 505 Fall 2005 Midterm Solutions. This midterm is a two hour open book, open notes exam. Do all three problems.
Physics 55 Fll 5 Midtem Solutions This midtem is two hou open ook, open notes exm. Do ll thee polems. [35 pts] 1. A ectngul ox hs sides of lengths, nd c z x c [1] ) Fo the Diichlet polem in the inteio
More informationRadial geodesics in Schwarzschild spacetime
Rdil geodesics in Schwzschild spcetime Spheiclly symmetic solutions to the Einstein eqution tke the fom ds dt d dθ sin θdϕ whee is constnt. We lso hve the connection components, which now tke the fom using
More informationAvailable online at ScienceDirect. Procedia Engineering 91 (2014 ) 32 36
Aville online t wwwsciencediectcom ScienceDiect Pocedi Engineeing 91 (014 ) 3 36 XXIII R-S-P semin Theoeticl Foundtion of Civil Engineeing (3RSP) (TFoCE 014) Stess Stte of Rdil Inhomogeneous Semi Sphee
More informationMark Scheme (Results) January 2008
Mk Scheme (Results) Jnuy 00 GCE GCE Mthemtics (6679/0) Edecel Limited. Registeed in Englnd nd Wles No. 4496750 Registeed Office: One90 High Holbon, London WCV 7BH Jnuy 00 6679 Mechnics M Mk Scheme Question
More informationOn the Eötvös effect
On the Eötvös effect Mugu B. Răuţ The im of this ppe is to popose new theoy bout the Eötvös effect. We develop mthemticl model which loud us bette undestnding of this effect. Fom the eqution of motion
More informationSchool of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007
School of Electicl nd Compute Engineeing, Conell Univesity ECE 303: Electomgnetic Fields nd Wves Fll 007 Homewok 4 Due on Sep. 1, 007 by 5:00 PM Reding Assignments: i) Review the lectue notes. ii) Relevnt
More informationNS-IBTS indices calculation procedure
ICES Dt Cente DATRAS 1.1 NS-IBTS indices 2013 DATRAS Pocedue Document NS-IBTS indices clcultion pocedue Contents Genel... 2 I Rw ge dt CA -> Age-length key by RFA fo defined ge nge ALK... 4 II Rw length
More informationCh 26 - Capacitance! What s Next! Review! Lab this week!
Ch 26 - Cpcitnce! Wht s Next! Cpcitnce" One week unit tht hs oth theoeticl n pcticl pplictions! Cuent & Resistnce" Moving chges, finlly!! Diect Cuent Cicuits! Pcticl pplictions of ll the stuff tht we ve
More informationChapter 25: Current, Resistance and Electromotive Force. Charge carrier motion in a conductor in two parts
Chpte 5: Cuent, esistnce nd Electomotive Foce Chge cie motion in conducto in two pts Constnt Acceletion F m qe ndomizing Collisions (momentum, enegy) =>esulting Motion Avege motion = Dift elocity = v d
More informationFriedmannien equations
..6 Fiedmnnien equtions FLRW metic is : ds c The metic intevl is: dt ( t) d ( ) hee f ( ) is function which detemines globl geometic l popety of D spce. f d sin d One cn put it in the Einstein equtions
More informationSolution of fuzzy multi-objective nonlinear programming problem using interval arithmetic based alpha-cut
Intentionl Jounl of Sttistics nd Applied Mthemtics 016; 1(3): 1-5 ISSN: 456-145 Mths 016; 1(3): 1-5 016 Stts & Mths www.mthsounl.com Received: 05-07-016 Accepted: 06-08-016 C Lognthn Dept of Mthemtics
More informationChapter 25: Current, Resistance and Electromotive Force. ~10-4 m/s Typical speeds ~ 10 6 m/s
Chpte 5: Cuent, esistnce nd lectomotive Foce Chge cie motion in conducto in two pts Constnt Acceletion F m q ndomizing Collisions (momentum, enegy) >esulting Motion http://phys3p.sl.psu.edu/phys_nim/m/ndom_wlk.vi
More informationMATHEMATICS IV 2 MARKS. 5 2 = e 3, 4
MATHEMATICS IV MARKS. If + + 6 + c epesents cicle with dius 6, find the vlue of c. R 9 f c ; g, f 6 9 c 6 c c. Find the eccenticit of the hpeol Eqution of the hpeol Hee, nd + e + e 5 e 5 e. Find the distnce
More informationGeneral Physics II. number of field lines/area. for whole surface: for continuous surface is a whole surface
Genel Physics II Chpte 3: Guss w We now wnt to quickly discuss one of the moe useful tools fo clculting the electic field, nmely Guss lw. In ode to undestnd Guss s lw, it seems we need to know the concept
More informationChapter 9 Definite Integrals
Chpter 9 Definite Integrls In the previous chpter we found how to tke n ntiderivtive nd investigted the indefinite integrl. In this chpter the connection etween ntiderivtives nd definite integrls is estlished
More informationInfluence of Hydraulic Hysteresis on Effective Stress in Unsaturated Clay
Intentionl Jounl of Envionmentl nd Eth Sciences 1:1 21 Influence of Hydulic Hysteesis on Effective Stess in Unstuted Cly Anuchit Uchipicht Abstct A compehensive pogm of lbotoy testing on compcted kolin
More informationRELATIVE KINEMATICS. q 2 R 12. u 1 O 2 S 2 S 1. r 1 O 1. Figure 1
RELAIVE KINEMAICS he equtions of motion fo point P will be nlyzed in two diffeent efeence systems. One efeence system is inetil, fixed to the gound, the second system is moving in the physicl spce nd the
More informationAnswers to test yourself questions
Answes to test youself questions opic Descibing fields Gm Gm Gm Gm he net field t is: g ( d / ) ( 4d / ) d d Gm Gm Gm Gm Gm Gm b he net potentil t is: V d / 4d / d 4d d d V e 4 7 9 49 J kg 7 7 Gm d b E
More informationOn Some Hadamard-Type Inequalıtıes for Convex Functıons
Aville t htt://vuedu/ Al Al Mth ISSN: 93-9466 Vol 9, Issue June 4, 388-4 Alictions nd Alied Mthetics: An Intentionl Jounl AAM On Soe Hdd-Tye Inequlıtıes o, Convex Functıons M Ein Özdei Detent o Mthetics
More informationCHAPTER 18: ELECTRIC CHARGE AND ELECTRIC FIELD
ollege Physics Student s Mnul hpte 8 HAPTR 8: LTRI HARG AD LTRI ILD 8. STATI LTRIITY AD HARG: OSRVATIO O HARG. ommon sttic electicity involves chges nging fom nnocoulombs to micocoulombs. () How mny electons
More informationChapter Direct Method of Interpolation More Examples Mechanical Engineering
Chpte 5 iect Method o Intepoltion Moe Exmples Mechnicl Engineeing Exmple Fo the pupose o shinking tunnion into hub, the eduction o dimete o tunnion sht by cooling it though tempetue chnge o is given by
More informationChapter 28 Sources of Magnetic Field
Chpte 8 Souces of Mgnetic Field - Mgnetic Field of Moving Chge - Mgnetic Field of Cuent Element - Mgnetic Field of Stight Cuent-Cying Conducto - Foce Between Pllel Conductos - Mgnetic Field of Cicul Cuent
More informationMatrix Algebra. Matrix Addition, Scalar Multiplication and Transposition. Linear Algebra I 24
Mtrix lger Mtrix ddition, Sclr Multipliction nd rnsposition Mtrix lger Section.. Mtrix ddition, Sclr Multipliction nd rnsposition rectngulr rry of numers is clled mtrix ( the plurl is mtrices ) nd the
More informationSuggested t-z and q-z functions for load-movement responsef
40 Rtio (Exponent = 0.5 80 % Fnction (.5 times 0 Hypeolic ( = 0 % SHAFT SHEAR (% of lt 00 80 60 ULT Zhng = 0.0083 / = 50 % Exponentil (e = 0.45 80 % (stin-softening 40 0 0 0 5 0 5 0 5 RELATIVE MOVEMENT
More informationWeek 8. Topic 2 Properties of Logarithms
Week 8 Topic 2 Popeties of Logithms 1 Week 8 Topic 2 Popeties of Logithms Intoduction Since the esult of ithm is n eponent, we hve mny popeties of ithms tht e elted to the popeties of eponents. They e
More informationMichael Rotkowitz 1,2
Novembe 23, 2006 edited Line Contolles e Unifomly Optiml fo the Witsenhusen Counteexmple Michel Rotkowitz 1,2 IEEE Confeence on Decision nd Contol, 2006 Abstct In 1968, Witsenhusen intoduced his celebted
More informationELECTRO - MAGNETIC INDUCTION
NTRODUCTON LCTRO - MAGNTC NDUCTON Whenee mgnetic flu linked with cicuit chnges, n e.m.f. is induced in the cicuit. f the cicuit is closed, cuent is lso induced in it. The e.m.f. nd cuent poduced lsts s
More informationDeterministic simulation of a NFA with k symbol lookahead
Deteministic simultion of NFA with k symbol lookhed SOFSEM 7 Bl Rvikum, Clifoni Stte Univesity (joint wok with Nic Snten, Univesity of Wteloo) Oveview Definitions: DFA, NFA nd lookhed DFA Motivtion: utomted
More informationTopics for Review for Final Exam in Calculus 16A
Topics fo Review fo Finl Em in Clculus 16A Instucto: Zvezdelin Stnkov Contents 1. Definitions 1. Theoems nd Poblem Solving Techniques 1 3. Eecises to Review 5 4. Chet Sheet 5 1. Definitions Undestnd the
More information10 m, so the distance from the Sun to the Moon during a solar eclipse is. The mass of the Sun, Earth, and Moon are = =
Chpte 1 nivesl Gvittion 11 *P1. () The un-th distnce is 1.4 nd the th-moon 8 distnce is.84, so the distnce fom the un to the Moon duing sol eclipse is 11 8 11 1.4.84 = 1.4 The mss of the un, th, nd Moon
More informationThe Area of a Triangle
The e of Tingle tkhlid June 1, 015 1 Intodution In this tile we will e disussing the vious methods used fo detemining the e of tingle. Let [X] denote the e of X. Using se nd Height To stt off, the simplest
More information1 Nondeterministic Finite Automata
1 Nondeterministic Finite Automt Suppose in life, whenever you hd choice, you could try oth possiilities nd live your life. At the end, you would go ck nd choose the one tht worked out the est. Then you
More informationRELATIONSHIP BETWEEN DESIGN RESPONSE SPECTRA FOR RARE AND FREQUENT EARTHQUAKE LEVELS
th Wold Confeence on Ethquke Engineeing ncouve, B.C., Cnd ugust -6, 00 Ppe No. 9 ELIONHIP BEWEEN EIGN EPONE PEC O E N EQUEN EHQUKE LEEL Yingmin LI Cheng HI Ming LI Ling HN UMMY It is known tht uilding
More informationab b. c 3. y 5x. a b 3ab. x xy. p q pq. a b. x y) + 2a. a ab. 6. Simplify the following expressions. (a) (b) (c) (4x
. Simplif the following epessions. 8 c c d. Simplif the following epessions. 6b pq 0q. Simplif the following epessions. ( ) q( m n) 6q ( m n) 7 ( b c) ( b c) 6. Simplif the following epessions. b b b p
More informationDynamically Equivalent Systems. Dynamically Equivalent Systems. Dynamically Equivalent Systems. ME 201 Mechanics of Machines
ME 0 Mechnics of Mchines 8//006 Dynmicy Equivent Systems Ex: Connecting od G Dynmicy Equivent Systems. If the mss of the connecting od m G m m B m m m. Moment out cente of gvity shoud e zeo m G m B Theefoe;
More informationElastic scattering of 4 He atoms at the surface of liquid helium
Indin Jounl of Pue & Applied Physics Vol. 48, Octobe, pp. 743-748 Elstic sctteing of 4 He toms t the sufce of liquid helium P K Toongey, K M Khnn, Y K Ayodo, W T Skw, F G Knyeki, R T Eki, R N Kimengichi
More informationStudy of Electromagnetic Wave Propagation in Periodic Dielectric Structure; MathCAD Analysis
Communictions in Applied Sciences ISSN -737 Volume Nume 3-9 Stud of lectomgnetic Wve Popgtion in Peiodic Dielectic Stuctue; MthCAD Anlsis Ugwu mmnuel.i Ieogu C. nd chi M.I Deptment of Industil phsics oni
More informationData Structures. Element Uniqueness Problem. Hash Tables. Example. Hash Tables. Dana Shapira. 19 x 1. ) h(x 4. ) h(x 2. ) h(x 3. h(x 1. x 4. x 2.
Element Uniqueness Poblem Dt Stuctues Let x,..., xn < m Detemine whethe thee exist i j such tht x i =x j Sot Algoithm Bucket Sot Dn Shpi Hsh Tbles fo (i=;i
More informationMathematical Reflections, Issue 5, INEQUALITIES ON RATIOS OF RADII OF TANGENT CIRCLES. Y.N. Aliyev
themtil efletions, Issue 5, 015 INEQULITIES ON TIOS OF DII OF TNGENT ILES YN liev stt Some inequlities involving tios of dii of intenll tngent iles whih inteset the given line in fied points e studied
More informationPhysics 11b Lecture #11
Physics 11b Lectue #11 Mgnetic Fields Souces of the Mgnetic Field S&J Chpte 9, 3 Wht We Did Lst Time Mgnetic fields e simil to electic fields Only diffeence: no single mgnetic pole Loentz foce Moving chge
More informationLanguage Processors F29LP2, Lecture 5
Lnguge Pocessos F29LP2, Lectue 5 Jmie Gy Feuy 2, 2014 1 / 1 Nondeteministic Finite Automt (NFA) NFA genelise deteministic finite utomt (DFA). They llow sevel (0, 1, o moe thn 1) outgoing tnsitions with
More informationName Ima Sample ASU ID
Nme Im Smple ASU ID 2468024680 CSE 355 Test 1, Fll 2016 30 Septemer 2016, 8:35-9:25.m., LSA 191 Regrding of Midterms If you elieve tht your grde hs not een dded up correctly, return the entire pper to
More informationThis immediately suggests an inverse-square law for a "piece" of current along the line.
Electomgnetic Theoy (EMT) Pof Rui, UNC Asheville, doctophys on YouTube Chpte T Notes The iot-svt Lw T nvese-sque Lw fo Mgnetism Compe the mgnitude of the electic field t distnce wy fom n infinite line
More informationQuality control. Final exam: 2012/1/12 (Thur), 9:00-12:00 Q1 Q2 Q3 Q4 Q5 YOUR NAME
Qulity contol Finl exm: // (Thu), 9:-: Q Q Q3 Q4 Q5 YOUR NAME NOTE: Plese wite down the deivtion of you nswe vey clely fo ll questions. The scoe will be educed when you only wite nswe. Also, the scoe will
More informationAbout Some Inequalities for Isotonic Linear Functionals and Applications
Applied Mthemticl Sciences Vol. 8 04 no. 79 8909-899 HIKARI Ltd www.m-hiki.com http://dx.doi.og/0.988/ms.04.40858 Aout Some Inequlities fo Isotonic Line Functionls nd Applictions Loedn Ciudiu Deptment
More informationImproper Integrals. The First Fundamental Theorem of Calculus, as we ve discussed in class, goes as follows:
Improper Integrls The First Fundmentl Theorem of Clculus, s we ve discussed in clss, goes s follows: If f is continuous on the intervl [, ] nd F is function for which F t = ft, then ftdt = F F. An integrl
More informationEfficiency of excitation of piezoceramic transducer at antiresonance frequency
fficiency of excittion of piezocemic tnsduce t ntiesonnce fequency Mezheitsky A.V. fficiency of excittion of piezocemic tnsduce t ntiesonnce fequency dpted fom I Tns. Ultson. Feoelect. Feq. Cont. vol.
More informationMath 4318 : Real Analysis II Mid-Term Exam 1 14 February 2013
Mth 4318 : Rel Anlysis II Mid-Tem Exm 1 14 Febuy 2013 Nme: Definitions: Tue/Flse: Poofs: 1. 2. 3. 4. 5. 6. Totl: Definitions nd Sttements of Theoems 1. (2 points) Fo function f(x) defined on (, b) nd fo
More informationSection 35 SHM and Circular Motion
Section 35 SHM nd Cicul Motion Phsics 204A Clss Notes Wht do objects do? nd Wh do the do it? Objects sometimes oscillte in simple hmonic motion. In the lst section we looed t mss ibting t the end of sping.
More informationGeneral Physics (PHY 2140)
Genel Physics (PHY 40) Lightning Review Lectue 3 Electosttics Lst lectue:. Flux. Guss s s lw. simplifies computtion of electic fields Q Φ net Ecosθ ε o Electicl enegy potentil diffeence nd electic potentil
More informationMath 259 Winter Solutions to Homework #9
Mth 59 Winter 9 Solutions to Homework #9 Prolems from Pges 658-659 (Section.8). Given f(, y, z) = + y + z nd the constrint g(, y, z) = + y + z =, the three equtions tht we get y setting up the Lgrnge multiplier
More informationdx was area under f ( x ) if ( ) 0
13. Line Integls Line integls e simil to single integl, f ( x) dx ws e unde f ( x ) if ( ) 0 Insted of integting ove n intevl [, ] (, ) f xy ds f x., we integte ove cuve, (in the xy-plne). **Figue - get
More informationQualitative Analysis for Solutions of a Class of. Nonlinear Ordinary Differential Equations
Adv. Theo. Appl. Mech., Vol. 7, 2014, no. 1, 1-7 HIKARI Ltd, www.m-hiki.com http://dx.doi.og/10.12988/tm.2014.458 Qulittive Anlysis fo Solutions of Clss of Nonline Odiny Diffeentil Equtions Juxin Li *,
More information1 Using Integration to Find Arc Lengths and Surface Areas
Novembe 9, 8 MAT86 Week Justin Ko Using Integtion to Find Ac Lengths nd Sufce Aes. Ac Length Fomul: If f () is continuous on [, b], then the c length of the cuve = f() on the intevl [, b] is given b s
More informationITI Introduction to Computing II
ITI 1121. Intoduction to Computing II Mcel Tucotte School of Electicl Engineeing nd Compute Science Abstct dt type: Stck Stck-bsed lgoithms Vesion of Febuy 2, 2013 Abstct These lectue notes e ment to be
More information(A) 6.32 (B) 9.49 (C) (D) (E) 18.97
Univesity of Bhin Physics 10 Finl Exm Key Fll 004 Deptment of Physics 13/1/005 8:30 10:30 e =1.610 19 C, m e =9.1110 31 Kg, m p =1.6710 7 Kg k=910 9 Nm /C, ε 0 =8.8410 1 C /Nm, µ 0 =4π10 7 T.m/A Pt : 10
More informationLecture 11: Potential Gradient and Capacitor Review:
Lectue 11: Potentil Gdient nd Cpcito Review: Two wys to find t ny point in spce: Sum o Integte ove chges: q 1 1 q 2 2 3 P i 1 q i i dq q 3 P 1 dq xmple of integting ove distiution: line of chge ing of
More informationDan G. Cacuci Department of Mechanical Engineering, University of South Carolina
SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY ( nd -ASAM) FOR LARGE-SCALE NONLINEAR SYSTEMS: II. APPLICATION TO A NONLINEAR HEAT CONDUCTION BENCHMARK Dn G. Ccuci Deptment of Mechnicl Engineeing
More informationTwo dimensional polar coordinate system in airy stress functions
I J C T A, 9(9), 6, pp. 433-44 Intentionl Science Pess Two dimensionl pol coodinte system in iy stess functions S. Senthil nd P. Sek ABSTRACT Stisfy the given equtions, boundy conditions nd bihmonic eqution.in
More information(1) It increases the break down potential of the surrounding medium so that more potential can be applied and hence more charge can be stored.
Cpcito Cpcito: Cpcito ( o conense ) is evice fo stoing chge. It essentilly consists of two conucting sufces such s two pltes o two spheicl shell o two cylines etc. kept exctly pllel to ech othe septe y
More information22.615, MHD Theory of Fusion Systems Prof. Freidberg Lecture 20
.615, MHD Theoy of Fusion Systes Pof. Feideg Lectue Resistive Wll Mode 1. We hve seen tht pefectly conducting wll, plced in close poxiity to the pls cn hve stong stilizing effect on extenl kink odes..
More informationA Revision Article of Oil Wells Performance Methods
A Revisin Aticle Oil Wells emnce Methds The ductivity inde well, dented y, is mesue the ility the well t duce. It is given y: Whee: Welle ductivity inde, STB/dy/sig Avege (sttic) esevi essue, sig Welle
More informationSURFACE TENSION. e-edge Education Classes 1 of 7 website: , ,
SURFACE TENSION Definition Sufce tension is popety of liquid by which the fee sufce of liquid behves like stetched elstic membne, hving contctive tendency. The sufce tension is mesued by the foce cting
More informationTWO NEW D. MATTER PROFILES FOR MILKY WAY HALO GOT FROM ROTATION CURVE M. Abarca
TWO NW D. MATTR PROFILS FOR MILKY WAY HALO GOT FROM ROTATION CURV M. Ac TWO NW D.M. DNSITY PROFILS FOR MILKY WAY HALO GOT FROM ROTATION CURV Autho Mnuel Ac Henndez emil mche1@gmil.com 1. ASTRACT.... INTRODUCTION...
More informationFind this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.
Find this mteil useful? You cn help ou tem to keep this site up nd bing you even moe content conside donting vi the link on ou site. Still hving touble undestnding the mteil? Check out ou Tutoing pge to
More informationElectricity & Magnetism Lecture 6: Electric Potential
Electicity & Mgnetism Lectue 6: Electic Potentil Tody s Concept: Electic Potenl (Defined in tems of Pth Integl of Electic Field) Electicity & Mgnesm Lectue 6, Slide Stuff you sked bout:! Explin moe why
More information4.2 Boussinesq s Theory. Contents
00477 Pvement Stuctue 4. Stesses in Flexible vement Contents 4. Intoductions to concet of stess nd stin in continuum mechnics 4. Boussinesq s Theoy 4. Bumiste s Theoy 4.4 Thee Lye System Weekset Sung Chte
More informationUnit 6. Magnetic forces
Unit 6 Mgnetic foces 6.1 ntoduction. Mgnetic field 6. Mgnetic foces on moving electic chges 6. oce on conducto with cuent. 6.4 Action of unifom mgnetic field on flt cuent-cying loop. Mgnetic moment. Electic
More informationExperimental evaluation of the process of decohesion of adhesive joints with polymer films
olimey, No. 11-12, 2, p. 82 Expeimentl evlution of the pocess of decohesion of dhesive oints with polyme films M. Zenkiewicz nd J. Dzwonkowski Tnsltion submitted by J.E. Bke Selected fom Intentionl olyme
More information1. The sphere P travels in a straight line with speed
1. The sphee P tels in stight line with speed = 10 m/s. Fo the instnt depicted, detemine the coesponding lues of,,,,, s mesued eltie to the fixed Oxy coodinte system. (/134) + 38.66 1.34 51.34 10sin 3.639
More informationLecture 3. In this lecture, we will discuss algorithms for solving systems of linear equations.
Lecture 3 3 Solving liner equtions In this lecture we will discuss lgorithms for solving systems of liner equtions Multiplictive identity Let us restrict ourselves to considering squre mtrices since one
More informationWater flows through the voids in a soil which are interconnected. This flow may be called seepage, since the velocities are very small.
Wate movement Wate flows though the voids in a soil which ae inteconnected. This flow may be called seepage, since the velocities ae vey small. Wate flows fom a highe enegy to a lowe enegy and behaves
More informationCS 311 Homework 3 due 16:30, Thursday, 14 th October 2010
CS 311 Homework 3 due 16:30, Thursdy, 14 th Octoer 2010 Homework must e sumitted on pper, in clss. Question 1. [15 pts.; 5 pts. ech] Drw stte digrms for NFAs recognizing the following lnguges:. L = {w
More informationSection 6: Area, Volume, and Average Value
Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find
More information3 x x x 1 3 x a a a 2 7 a Ba 1 NOW TRY EXERCISES 89 AND a 2/ Evaluate each expression.
SECTION. Eponents nd Rdicls 7 B 7 7 7 7 7 7 7 NOW TRY EXERCISES 89 AND 9 7. EXERCISES CONCEPTS. () Using eponentil nottion, we cn write the product s. In the epression 3 4,the numer 3 is clled the, nd
More informationI1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3
2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is
More information