PEGN 513 Reservoir Simulation I Fall 2009
|
|
|
- Zoe Stephens
- 5 years ago
- Views:
Transcription
1 Hmer #3 l The smples rm r aerld a lear cre ally saraed h l ad a resdal aer sara h gravy r capllary eecs s represeed by he -dmesal Bcley-Levere maeral balace eqa () Eplc sl Csderg he space dscreza sh Fgre he eplc sl hs eqa s gve by () T mprve he cmpa prcess ad avd sg a magary grd a he le he rs de he llg eqa s sed r he rs de These eqas (Eqs. ad 3) ca be slved eplcly r aer sara a he e me sep (). (3) 3 - IMAX- IMAX / / -/ / IMAX-/ Fgre. -dmesal cre space dscreza
2 /8 Implc sl Csderg he space dscreza sh Fgre he mplc sl eqa () s gve by (4) The racal l a me ca be relaed he racal l a me sg he Taylr plymal rs rder (5) bsg (5) (4) ad rerderg a eqa h s ( s a ) s baed (6) Fr de hs eqa ca be slve eplcly as lls / / / / / / / (7) here r / / / A bac-sbs prcedre ca be appled seqeally slve r he res he de saras sg eqa (6). Bh he eplc ad mplc rmlas ere cded MATLAB slve he -dmesal Bcley-Levere prblem. The prcedre slve aalycally r he dervave racal l h respec aer sara s sh a he ed hs repr as a addedm.
3 l r Case : Eplc sl. day IMAX Table shs he vales aer sara r he grd s a days. A pl aer sara prle as a c dsace alg pah l a every ve me seps s sh Fgre. The al cd (a ) crrespds he hrzal le csa aer sara eqal.5 (.e. r ). The gre shs a crease aer sara h me ad h he aer jec r prpagaes alg he -dmesal cre. The spread he crves s a dcave mercal dspers. Table. Waer sara vales r he grd s a days Grd de (rac) Waer ara (rac) Dsace alg pah l () Fgre. Waer sara prle alg he pah l a every ve me seps 3/8
4 l r Case : Eplc sl. day IMAX 5 Table shs he vales aer sara r he grd s a days r Case. A pl aer sara prle as a c dsace alg pah l a every ve me seps s sh Fgre 3. Ths case ses a small ha Case ad mre des; ca be bserve a sharp aer jec r cmpars h he spread crves Case hch meas a decrease mercal dspers h a decrease grd sze he drec. Table. Waer sara vales r he grd s a days. Case Grd de (rac) Grd de (rac) Waer ara (rac) Dsace alg pah l () Fgre 3. Waer sara prle alg he pah l a every ve me seps. Case 4/8
5 l r Case 3: Implc sl. day IMAX Table 3 shs he vales aer sara r he grd s a days Case 3. A pl aer sara prle as a c dsace alg pah l a every ve me seps s sh Fgre 4. I ca be bserve he aer jec r prpaga h me alg he -dmesal cre he rm spread sara crves becase mercal dspers. Table 3. Waer sara vales r he grd s a days. Case 3 Grd de (rac) Waer ara (rac) Dsace alg pah l () Fgre 4. Waer sara prle alg he pah l a every ve me seps. Case 3 5/8
6 l r Case 4: Implc sl. day IMAX 5 Table 4 shs he vales aer sara r he grd s a days r Case 4. A pl aer sara prle as a c dsace alg pah l a every ve me seps s sh Fgre 5. Ths case ses a small ha Case 3 ad mre des eqal Case ; ca be bserve a sharp aer jec r b ha sharp as Case 3 hch meas ha he decrease mercal dspers as less he mplc case. Table 4. Waer sara vales r he grd s a days. Case 4 Grd de (rac) Grd de (rac) Waer ara (rac) Dsace alg pah l () Fgre 5. Waer sara prle alg he pah l a every ve me seps. Case 4 6/8
7 Fgre 6 shs he aer sara prle as a c dsace alg pah l a.5 days (5 me seps) r he r cases csdered. The case ha shs a greaer mercal dspers maesed by a spreader sara crve s Case 3 he mplc sl h carse grd. Fr he mercal parameers (me sep. day ad grd sze ) csdered he eplc Case shs a ler mercal dspers ha he mplc Case 3. A redc he mercal dspers s sh r he cases ad 4 hch have a er grd h he eplc Case shg he sharper aer jec r (.e. he les mercal dspers). As ca be see he eplc rmla ers a ler mercal dspers ha he mplc rmla he he same grd s sze ad me sep s sed..9 Case - Eplc Case - Eplc 5 Case 3 - Implc Case 4 - Implc Waer ara (rac) Dsace alg pah l () Fgre 6. Cmpars he eplc ad mplc Bcley-Levere sl a.5 days r he r cases sded 7/8
8 8/8 Addedm Dervave racal l h respec aer sara r r r r r r λ λ λ r r r r r r r r lvg dervaves relave permeably h respec aer sara r r r r r r r r r r r r r r r r r r r r r r bsg r r r r r r r r r r r r r r r r r r r r r r r
[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5
![[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5](/thumbs/85/92299540.jpg "[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5")
TPG460 Reservor Smulaon 08 page of 5 DISCRETIZATIO OF THE FOW EQUATIOS As we already have seen, fne dfference appromaons of he paral dervaves appearng n he flow equaons may be obaned from Taylor seres
Consumer Theory - Expenditure Function & Compensated Demand
Csmer Thery - pedre F & Cmpesaed Demad pedre F -, M s U ad 0; pmzed vale f f he dal he ly mamza prblem.e., ryg mmze wha smer wld have sped a gve pres rder aheve a spef vale f ly sepedre Les - level rves
Lecture 2: The Simple Regression Model
Lectre Notes o Advaced coometrcs Lectre : The Smple Regresso Model Takash Yamao Fall Semester 5 I ths lectre we revew the smple bvarate lear regresso model. We focs o statstcal assmptos to obta based estmators.
Theory and application of the generalized integral representation method (GIRM) in advection diffusion problem
Appled ad ompaoal Mahemacs 4; 4: 7-49 blshed ole Ags 4 hp://www.scecepblshggrop.com//acm do:.648/.acm.44.5 IN: 8-565 r; IN: 8-56 Ole Theory ad applcao of he geeralzed egral represeao mehod IRM adveco dffso
Suggested Answers, Problem Set 4 ECON The R 2 for the unrestricted model is by definition u u u u
Da Hgerma Fall 9 Sggested Aswers, Problem Set 4 ECON 333 The F-test s defed as ( SSEr The R for the restrcted model s by defto SSE / ( k ) R ( SSE / SST ) so therefore, SSE SST ( R ) ad lkewse SSEr SST
Computational Fluid Dynamics CFD. Solving system of equations, Grid generation
Compaoal ld Dyamcs CD Solvg sysem of eqaos, Grd geerao Basc seps of CD Problem Dscrezao Resl Gov. Eq. BC I. Cod. Solo OK??,,... Solvg sysem of eqaos he ype of eqaos decdes solo sraegy Marchg problems Eqlbrm
Cyclone. Anti-cyclone
Adveco Cycloe A-cycloe Lorez (963) Low dmesoal aracors. Uclear f hey are a good aalogy o he rue clmae sysem, bu hey have some appealg characerscs. Dscusso Is he al codo balaced? Is here a al adjusme
Effects of initial compression stress on wave propagation in carbon nanotubes
Effecs f al cmpress sress wave prpaga carb abes M. M. Selm * S. Abe ad K. Hargaya eparme f Maemacs A-Aflaj cmmy Cllege Kg Sad Uversy Al-Aflaj 7- Sad Araba Naeclgy esearc Ise AIST Tsba 5-5 Japa Absrac A
Fall 2010 Analysis of Experimental Measurements B. Eisenstein/rev. S. Errede. (n.b. for now, we do not require that k. vectors as a k 1 matrix: ( )
Fall 00 Analyss f Epermental Measrements B. Esensten/rev. S. Errede Let s nvestgate the effect f a change f varables n the real & symmetrc cvarance matr aa the varance matr aa the errr matr V [ ] ( )(
glo ry of God, Final to Verses G/D D ing.
BEHL THE LRY F REFRIN Live, much g ( = c. 80) / / / / Melody Keybord r g! Be g. hold hrt / / Je s Vses / ry, SMPLE / shes Fl Fe / / / g. th Vses Fl Fe / y Str / Text: Roc nor, SJ, b. 1949, 1990, Rort F.
NUMERICAL SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS If e eqao coas dervaves of a - order s sad o be a - order dffereal eqao. For eample a secod-order eqao descrbg e oscllao of a weg aced po b a sprg
Geometric Modeling
Geomerc Modelg 9.58. Crves coed Cc Bezer ad B-Sle Crves Far Chaers 4-5 8 Moreso Chaers 4 5 4 Tycal Tyes of Paramerc Crves Corol os flece crve shae. Ierolag Crve asses hrogh all corol os. Herme Defed y
A L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
Convection and conduction and lumped models
MIT Hea ranfer Dynamc mdel 4.3./SG nvecn and cndcn and lmped mdel. Hea cnvecn If we have a rface wh he emperare and a rrndng fld wh he emperare a where a hgher han we have a hea flw a Φ h [W] () where
Part A. Ch Ch (a) b = = 25. from normal distribution table. Thus, order quantity is 58-12=46. (b) Now b=5
Hmerk Sln Par A. Ch a b = 65 4 = 5 frm nrmal dsrbn able Ths, rder qany s 58-=46 b b=5 frm nrmal dsrbn able Ths, rder qany s 5-=39 Ch 3 a Pssn Prcess, snce hs demand prcess accmlaes he randm demand generaed
Fundamentals of Regression Analysis
Fdametals of Regresso Aalyss Regresso aalyss s cocered wth the stdy of the depedece of oe varable, the depedet varable, o oe or more other varables, the explaatory varables, wth a vew of estmatg ad/or
FORCED VIBRATION of MDOF SYSTEMS
FORCED VIBRAION of DOF SSES he respose of a N DOF sysem s govered by he marx equao of moo: ] u C] u K] u 1 h al codos u u0 ad u u 0. hs marx equao of moo represes a sysem of N smulaeous equaos u ad s me
SOLUTION OF PARABOLA EQUATION BY USING REGULAR,BOUNDARY AND CORNER FUNCTIONS
SOLUTION OF PAABOLA EQUATION BY USING EGULA,BOUNDAY AND CONE FUNCTIONS Dr. Hayder Jabbar Abood, Dr. Ifchar Mdhar Talb Deparme of Mahemacs, College of Edcao, Babylo Uversy. Absrac:- we solve coverge seqece
Differentiation of Exponential Functions
Differentiation of Eponential Fnctions The net derivative rles that o will learn involve eponential fnctions. An eponential fnction is a fnction in the form of a constant raised to a variable power. The
Least Squares Fitting (LSQF) with a complicated function Theexampleswehavelookedatsofarhavebeenlinearintheparameters
Leas Squares Fg LSQF wh a complcaed fuco Theeampleswehavelookedasofarhavebeelearheparameers ha we have bee rg o deerme e.g. slope, ercep. For he case where he fuco s lear he parameers we ca fd a aalc soluo
Solution of a diffusion problem in a non-homogeneous flow and diffusion field by the integral representation method (IRM)
Appled and ompaonal Mahemacs 4; 3: 5-6 Pblshed onlne Febrary 4 hp://www.scencepblshnggrop.com//acm do:.648/.acm.43.3 olon of a dffson problem n a non-homogeneos flow and dffson feld by he negral represenaon
Introduction to Mathematical Modeling and Computation
Ole Lecre Noe Irodco o Mahemacal Modelg ad Compao Verso.0 Aprl 08 Saor Yamamoo Professor Dr. Eg. Laboraory of Mahemacal Modelg ad Compao Dep. of Comper ad Mahemacal Sceces oho Uversy Seda 980-8579 Japa
Objective of curve fitting is to represent a set of discrete data by a function (curve). Consider a set of discrete data as given in table.
CURVE FITTING Obectve curve ttg s t represet set dscrete dt b uct curve. Csder set dscrete dt s gve tble. 3 3 = T use the dt eectvel, curve epress s tted t the gve dt set, s = + = + + = e b ler uct plml
Mathematical Formulation
Mahemacal Formulao The purpose of a fe fferece equao s o appromae he paral ffereal equao (PE) whle maag he physcal meag. Eample PE: p c k FEs are usually formulae by Taylor Seres Epaso abou a po a eglecg
, t 1. Transitions - this one was easy, but in general the hardest part is choosing the which variables are state and control variables
Opmal Conrol Why Use I - verss calcls of varaons, opmal conrol More generaly More convenen wh consrans (e.g., can p consrans on he dervaves More nsghs no problem (a leas more apparen han hrogh calcls of
NUMERICAL EVALUATION of DYNAMIC RESPONSE
NUMERICAL EVALUATION of YNAMIC RESPONSE Aalycal solo of he eqao of oo for a sgle degree of freedo syse s sally o ossble f he excao aled force or grod accelerao ü g -vares arbrarly h e or f he syse s olear.
Solution. The straightforward approach is surprisingly difficult because one has to be careful about the limits.
ose ad Varably Homewor # (8), aswers Q: Power spera of some smple oses A Posso ose A Posso ose () s a sequee of dela-fuo pulses, eah ourrg depedely, a some rae r (More formally, s a sum of pulses of wdh
Different kind of oscillation
PhO 98 Theorecal Qeson.Elecrcy Problem (8 pons) Deren knd o oscllaon e s consder he elecrc crc n he gre, or whch mh, mh, nf, nf and kω. The swch K beng closed he crc s copled wh a sorce o alernang crren.
The ray paths and travel times for multiple layers can be computed using ray-tracing, as demonstrated in Lab 3.
C. Trael me cures for mulple reflecors The ray pahs ad rael mes for mulple layers ca be compued usg ray-racg, as demosraed Lab. MATLAB scrp reflec_layers_.m performs smple ray racg. (m) ref(ms) ref(ms)
Scattering at an Interface: Oblique Incidence
Course Insrucor Dr. Raymond C. Rumpf Offce: A 337 Phone: (915) 747 6958 E Mal: rcrumpf@uep.edu EE 4347 Appled Elecromagnecs Topc 3g Scaerng a an Inerface: Oblque Incdence Scaerng These Oblque noes may
and for compressible flow
57: Mechanics Flids and Transprt Prcesses Chapter 9 Pressr Fred Stern Typed by Stephanie Schrader Fall 999 9.5 Qantitative Relatins r the Trblent Bndary ayer Descriptin Trblent Flw V and p are randm nctins
Voltage Sensitivity Analysis in MV Distribution Networks
Proceedgs of he 6h WSEAS/IASME I. Cof. o Elecrc Power Sysems, Hgh olages, Elecrc Maches, Teerfe, Spa, December 6-8, 2006 34 olage Sesvy Aalyss M Dsrbuo Neworks S. CONTI, A.M. GRECO, S. RAITI Dparmeo d
Worst-case analysis of the LPT algorithm for single processor scheduling with time restrictions
OR Spectrm 06 38:53 540 DOI 0.007/s009-06-043-5 REGULAR ARTICLE Worst-case analysis of the LPT algorithm for single processor schedling with time restrictions Oliver ran Fan Chng Ron Graham Received: Janary
ˆ SSE SSE q SST R SST R q R R q R R q
Bll Evas Spg 06 Sggested Aswes, Poblem Set 5 ECON 3033. a) The R meases the facto of the vaato Y eplaed by the model. I ths case, R =SSM/SST. Yo ae gve that SSM = 3.059 bt ot SST. Howeve, ote that SST=SSM+SSE
Mains-voltage linear R7S with very high light output
Lighting Mains-vltage linear R7S with very high light utput repr LElinear MV repr R7S is a retrfit replacement fr traditinal duble-ended linear R7S lamps.its light all arund design delivers light just
Mains-voltage linear R7S with very high light output
Lighting Mains-vltage linear R7S with very high light utput repr LElinear MV repr R7S is a retrfit replacement fr traditinal duble-ended linear R7S lamps.its light all arund design delivers light that
Lecture 2. Basic Semiconductor Physics
Lecture Basc Semcductr Physcs I ths lecture yu wll lear: What are semcductrs? Basc crystal structure f semcductrs Electrs ad hles semcductrs Itrsc semcductrs Extrsc semcductrs -ded ad -ded semcductrs Semcductrs
14. Poisson Processes
4. Posso Processes I Lecure 4 we roduced Posso arrvals as he lmg behavor of Bomal radom varables. Refer o Posso approxmao of Bomal radom varables. From he dscusso here see 4-6-4-8 Lecure 4 " arrvals occur
Last 4 Digits of USC ID:
Chemistry 05 B Practice Exam Dr. Jessica Parr First Letter of last Name PLEASE PRINT YOUR NAME IN BLOCK LETTERS Name: Last 4 Digits of USC ID: Lab TA s Name: Question Points Score Grader 8 2 4 3 9 4 0
Density estimation III. Linear regression.
Lecure 6 Mlos Hauskrec mlos@cs.p.eu 539 Seo Square Des esmao III. Lear regresso. Daa: Des esmao D { D D.. D} D a vecor of arbue values Obecve: r o esmae e uerlg rue probabl srbuo over varables X px usg
Solutions to Midterm II. of the following equation consistent with the boundary condition stated u. y u x y
Sltis t Midterm II Prblem : (pts) Fid the mst geeral slti ( f the fllwig eqati csistet with the bdary cditi stated y 3 y the lie y () Slti : Sice the system () is liear the slti is give as a sperpsiti
Earthquake, Volcano and Tsunami
A. Merapi Volcano Erpion Earhqake, Volcano and Tsnami Qesion Answer Marks A. Using Black s Principle he eqilibrim emperare can be obained Ths,.5 A. For ideal gas, pv e e RTe, hs.3 A.3 The relaive velociy
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
Analytical modelling of extruded plates
paper ID: 56 /p. Aalcal modellg of erded plaes C. Pézera, J.-L. Gader Laboraore Vbraos Acosqe, INSA de Lo,5 bs a.j. Cappelle 696 VILLEURBANNE Cede Erded plaes are ofe sed o bld lgh srcres h hgh sffess.
Lecture 3: Resistive forces, and Energy
Lecure 3: Resisive frces, and Energy Las ie we fund he velciy f a prjecile ving wih air resisance: g g vx ( ) = vx, e vy ( ) = + v + e One re inegrain gives us he psiin as a funcin f ie: dx dy g g = vx,
Ordinary Differential Equations. Orientation. Lesson Objectives. Ch. 25. ODE s. Runge-Kutta Methods. Motivation Mathematical Background
Ordar Deretal Equats C. 5 Oretat ODE s Mtvat Matematcal Bacgrud Ruge-Kutta Metds Euler s Metd Hue ad Mdpt metds Less Objectves Be able t class ODE s ad dstgus ODE s rm PDE s. Be able t reduce t rder ODE
Consumer theory. A. The preference ordering B. The feasible set C. The consumption decision. A. The preference ordering. Consumption bundle
Föreläsgsderlag för Gravelle-Rees. Del. Thomas Soesso Cosmer theory A. The referece orderg B. The feasble set C. The cosmto decso A. The referece orderg Cosmto bdle ( 2,,... ) Assmtos: Comleteess 2 Trastvty
Every gas consists of a large number of small particles called molecules moving with very high velocities in all possible directions.
Kietic thery f gases ( Kietic thery was develped by Berlli, Jle, Clasis, axwell ad Bltzma etc. ad represets dyamic particle r micrscpic mdel fr differet gases sice it thrws light the behir f the particles
A NOTE ON THE EQUIVAImCE OF SOME TEST CRITERIA. v. P. Bhapkar. University of Horth Carolina. and
~ A NOTE ON THE EQUVAmCE OF SOME TEST CRTERA by v. P. Bhapkar University f Hrth Carlina University f Pna nstitute f Statistics Mime Series N. 421 February 1965 This research was supprted by the Mathematics
CONSISTENT EARTHQUAKE ACCELERATION AND DISPLACEMENT RECORDS
APPENDX J CONSSTENT EARTHQUAKE ACCEERATON AND DSPACEMENT RECORDS Earhqake Acceleraons can be Measred. However, Srcres are Sbjeced o Earhqake Dsplacemens J. NTRODUCTON { XE "Acceleraon Records" }A he presen
Linear Regression Linear Regression with Shrinkage
Lear Regresso Lear Regresso h Shrkage Iroduco Regresso meas predcg a couous (usuall scalar oupu from a vecor of couous pus (feaures x. Example: Predcg vehcle fuel effcec (mpg from 8 arbues: Lear Regresso
Chapter 1 - Free Vibration of Multi-Degree-of-Freedom Systems - I
CEE49b Chaper - Free Vbrao of M-Degree-of-Freedo Syses - I Free Udaped Vbrao The basc ype of respose of -degree-of-freedo syses s free daped vbrao Aaogos o sge degree of freedo syses he aayss of free vbrao
Dissipation Normal Form, Conservativity, Instability and Chaotic Behavior of Continuous-time Strictly Causal Systems
Dsspa Nrmal Frm, Cservavy, Isably ad Chac Behavr f Cuus-me Srcly Causal Sysems JOSEF HRUSAK, MILAN SORK Deparme f Appled Elecrcs ad elecmmucas ad DANIEL MAYER, Fellw f IEE Deparme f hery f Elecrcal Egeerg
DC-DC Switch-Mode Converters
- Swich-Mde nverers - cnverers are used : egulaed swich-mde pwer supplies, nrmally wih HF elecrical isla Mr drives, nrmally wihu an isla ransfrmer We will lk a he w basic dc-dc cnverer plgies: Sep-dwn
Multiple Source Multiple. using Network Coding
Multiple Surce Multiple Destinatin Tplgy Inference using Netwrk Cding Pegah Sattari EECS, UC Irvine Jint wrk with Athina Markpulu, at UCI, Christina Fraguli, at EPFL, Lausanne Outline Netwrk Tmgraphy Gal,
Chemistry 431 Practice Final Exam Fall Hours
Chemistry 431 Practice Final Exam Fall 2018 3 Hours R =8.3144 J mol 1 K 1 R=.0821 L atm mol 1 K 1 R=.08314 L bar mol 1 K 1 k=1.381 10 23 J molecule 1 K 1 h=6.626 10 34 Js N A = 6.022 10 23 molecules mol
Chemistry 2 Exam Roane State Academic Festival. Name (print neatly) School
Name (print neatly) School There are fifteen question on this exam. Each question is weighted equally. n the answer sheet, write your name in the space provided and your answers in the blanks provided.
Professional Development. Implementing the NGSS: High School Physics
Prfessinal Develpment Implementing the NGSS: High Schl Physics This is a dem. The 30-min vide webinar is available in the full PD. Get it here. Tday s Learning Objectives NGSS key cncepts why this is different
2.160 System Identification, Estimation, and Learning Lecture Notes No. 17 April 24, 2006
.6 System Idetfcato, Estmato, ad Learg Lectre Notes No. 7 Aprl 4, 6. Iformatve Expermets. Persstece of Exctato Iformatve data sets are closely related to Persstece of Exctato, a mportat cocept sed adaptve
ECON3120/4120 Mathematics 2, spring 2009
University of Oslo Department of Economics Arne Strøm ECON3/4 Mathematics, spring 9 Problem soltions for Seminar 4, 6 Febrary 9 (For practical reasons some of the soltions may inclde problem parts that
To use adaptive cluster sampling we must first make some definitions of the sampling universe:
8.3 ADAPTIVE SAMPLING Most of the methods dscussed samplg theory are lmted to samplg desgs hch the selecto of the samples ca be doe before the survey, so that oe of the decsos about samplg deped ay ay
ABSTRACT. Keywords: Finite Element, Active Optics, Adaptive Optics, WaveFront Error, System Analysis, Optomechanical 1.
Analyss echne or conrollng Sysem Waveron Error wh Acve/Adapve Opcs Vcor L. Genberg*, Gregory J. Mchels Sgmadyne, 83 Wes Ave, ocheser, NY 14611 *genberg@sgmadyne.com (585)35-746 ABSTACT The lmae goal o
Numerical Techniques for Conservation Laws with Source Terms
Nmercal Techqe or Coerao Law wh Sorce Term by J Hdo Projec Speror Dr. P.K. Sweby Pro. M.J. Bae Abrac h derao we wll dc he e derece mehod or appromag coerao law wh a orce erm pree whch codered o be a kow
Dishonest casino as an HMM
Dshnes casn as an HMM N = 2, ={F,L} M=2, O = {h,} A = F B= [. F L F L 0.95 0.0 0] h 0.5 0. L 0.05 0.90 0.5 0.9 c Deva ubramanan, 2009 63 A generave mdel fr CpG slands There are w hdden saes: CpG and nn-cpg.
Research Article Cubic B-spline for the Numerical Solution of Parabolic Integro-differential Equation with a Weakly Singular Kernel
Researc Jornal of Appled Scences, Engneerng and Tecnology 7(): 65-7, 4 DOI:.96/afs.7.5 ISS: 4-7459; e-iss: 4-7467 4 Mawell Scenfc Pblcaon Corp. Sbmed: Jne 8, Acceped: Jly 9, Pblsed: Marc 5, 4 Researc Arcle
Step-Size Bounds Analysis of the Generalized Multidelay Adaptive Filter
WCE 007 Jly - 4 007 London UK Step-Size onds Analysis of the Generalized Mltidelay Adaptive Filter Jnghsi Lee and Hs Chang Hang Abstract In this paper we analyze the bonds of the fixed common step-size
single-layer transition metal dichalcogenides MC2
single-layer transition metal dichalcogenides MC2 Period 1 1 H 18 He 2 Group 1 2 Li Be Group 13 14 15 16 17 18 B C N O F Ne 3 4 Na K Mg Ca Group 3 4 5 6 7 8 9 10 11 12 Sc Ti V Cr Mn Fe Co Ni Cu Zn Al Ga
Session #22: Homework Solutions
Sessin #22: Hmewrk Slutins Prblem #1 (a) In the cntext f amrphus inrganic cmpunds, name tw netwrk frmers, tw netwrk mdifiers, and ne intermediate. (b) Sketch the variatin f mlar vlume with temperature
Steady State Conduction
ECE309 Intrductin t Thermdynamics and Heat Transfer Spring 005 Tutrial # 7 Steady State Cnductin Prblem 1 Cnsider a naked persn standing in a rm at 0 C with an expsed surface area f 17m The deep bdy temperature
Some Chain Type Estimators for Population Variance in Two Phase Sampling
Ieraal Jural Rece ad Iva Treds Cmpu ad Cmmuca I: 3-869 me Cha Tpe Esmars fr Ppula Varace Tw Phase ampl A. Badpadha, P. Parchha ad Pambar Das. Deparme f Mahemacs, Asasl Eeer Cllee, Asasl 7335, Ida. Emal:
Simplified Identification Scheme for Structures on a Flexible Base
Simplified Identification Scheme for Strctres on a Flexible Base L.M. Star California State University, Long Beach G. Mylonais University of Patras, Greece J.P. Stewart University of California, Los Angeles
Latz, p. Technjscpe. De lit. Observations made on board of. Dutch ships. June 1967
Lat, p. Technjscpe De lit. Observatins made n bard f Dutch ships. June 1967 NETHERLANDS SHIP MODEL BASIN WAGENIN GEN Reprt N. 67-090-WO PAGE OBSERVATIONS MADE ON BOARD OF DUTCH SHIPS by Ir. R. Wahab. NETHERLANDS
Chapters 2 Kinematics. Position, Distance, Displacement
Chapers Knemacs Poson, Dsance, Dsplacemen Mechancs: Knemacs and Dynamcs. Knemacs deals wh moon, bu s no concerned wh he cause o moon. Dynamcs deals wh he relaonshp beween orce and moon. The word dsplacemen
Including the ordinary differential of distance with time as velocity makes a system of ordinary differential equations.
Soluons o Ordnary Derenal Equaons An ordnary derenal equaon has only one ndependen varable. A sysem o ordnary derenal equaons consss o several derenal equaons each wh he same ndependen varable. An eample
2015 Sectional Physics Exam Solution Set
. Crrec answer: D Ne: [quan] denes: uns quan WYSE cadec Challenge 05 Secnal Phscs Ea SOLUTION SET / / / / rce lengh lengh rce enu ass lengh e a) / ass ass b) energ c) wrk lengh e pwer energ e d) (crrec
ALE 26. Equilibria for Cell Reactions. What happens to the cell potential as the reaction proceeds over time?
Name Chem 163 Secti: Team Number: AL 26. quilibria fr Cell Reactis (Referece: 21.4 Silberberg 5 th editi) What happes t the ptetial as the reacti prceeds ver time? The Mdel: Basis fr the Nerst quati Previusly,
BIT Chapters = =
BIT Chapters 17-0 1. K w = [H + ][OH ] = 9.5 10 14 [H + ] = [OH ] =.1 10 7 ph = 6.51 The slutin is neither acidic nr basic because the cncentratin f the hydrnium in equals the cncentratin f the hydride
Contents ... FREE! 4 6 BONUS Activity Pages! Additional worksheets for your students EASY MARKING ANSWER KEY GRAPHIC ORGANIZERS...
I, Z. H,. R. B,. C,. x. I S Z,, P W.? P. G. G, S,. CONLIC RESOLUION SKIS.. L S G L. H : P.. H x. C - COPYING, ILLUSRAING I - G L. EMBELLISHING. C ANI-BULLYING SRAEGIES B I: G,,. R H U S. N, N Mx A. P,
The Simple Linear Regression Model: Theory
Chapter 3 The mple Lear Regress Mdel: Ther 3. The mdel 3.. The data bservats respse varable eplaatr varable : : Plttg the data.. Fgure 3.: Dsplag the cable data csdered b Che at al (993). There are 79
Topic 3: Periodicity OBJECTIVES FOR TODAY: Fall in love with the Periodic Table, Interpret trends in atomic radii, ionic radii, ionization energies &
Topic 3: Periodicity OBJECTIVES FOR TODAY: Fall in love with the Periodic Table, Interpret trends in atomic radii, ionic radii, ionization energies & electronegativity The Periodic Table What is the periodic
XIII International PhD Workshop OWD 2011, October Three Phase DC/DC Boost Converter With High Energy Efficiency
X nernaonal Ph Workshop OW, Ocober Three Phase C/C Boos Converer Wh Hgh Energy Effcency Ján Perdľak, Techncal nversy of Košce Absrac Ths paper presens a novel opology of mlphase boos converer wh hgh energy
Determining of temperature field in a L-shaped domain
Available online at www.pelagiaresearchlibrary.com Advances in Applied Science Research, 0, (:-8 Determining of temperatre field in a L-shaped domain Oigo M. Zongo, Sié Kam, Kalifa Palm, and Alione Oedraogo
ORBITAL DIAGRAM - A graphical representation of the quantum number "map" of electrons around an atom.
178 (MAGNETIC) SPIN QUANTUM NUMBER: "spin down" or "spin up" - An ORBITAL (region with fixed "n", "l" and "ml" values) can hold TWO electrons. ORBITAL DIAGRAM - A graphical representation of the quantum
() t ( ) ( ) ( ) ( ) ( ) ( ) ω ω. SURVIVAL Memorize + + x x. m = = =
SURVIVL ' uu λ -Λ : > l + S e e e S ω ο ω ω Ufrm DeMvre S X e Vr X ω λ Eel S X e e λ ω ω ww S + S f ο S + S e where e S S S S S Prcles T X s rm vrble fr remg me ul eh f sus ge f + survvl fuc fr T X f,
4. Runge-Kutta Formula For Differential Equations. A. Euler Formula B. Runge-Kutta Formula C. An Example for Fourth-Order Runge-Kutta Formula
NCTU Deprme o Elecrcl d Compuer Egeerg Seor Course By Pro. Yo-Pg Ce. Ruge-Ku Formul For Derel Equos A. Euler Formul B. Ruge-Ku Formul C. A Emple or Four-Order Ruge-Ku Formul
4. Runge-Kutta Formula For Differential Equations
NCTU Deprme o Elecrcl d Compuer Egeerg 5 Sprg Course by Pro. Yo-Pg Ce. Ruge-Ku Formul For Derel Equos To solve e derel equos umerclly e mos useul ormul s clled Ruge-Ku ormul
B-spline curves. 1. Properties of the B-spline curve. control of the curve shape as opposed to global control by using a special set of blending
B-sple crve Copyrght@, YZU Optmal Desg Laboratory. All rghts reserved. Last pdated: Yeh-Lag Hs (--9). ote: Ths s the corse materal for ME Geometrc modelg ad compter graphcs, Ya Ze Uversty. art of ths materal
first-order circuit Complete response can be regarded as the superposition of zero-input response and zero-state response.
Experimen 4:he Sdies of ransiional processes of 1. Prpose firs-order circi a) Use he oscilloscope o observe he ransiional processes of firs-order circi. b) Use he oscilloscope o measre he ime consan of
CMSC 313 Lecture 17 Postulates & Theorems of Boolean Algebra Semiconductors CMOS Logic Gates
CMSC 313 Lecture 17 Postulates & Theorems of Boolean Algebra Semiconductors CMOS Logic Gates UMBC, CMSC313, Richard Chang Last Time Overview of second half of this course Logic gates &
Simulation of wave-body interactions in viscous flow based on explicit wave models
Smlao of wave-body eracos vscos flow based o eplc wave models Roma Lqe, Berrad Alessadr, Perre Ferra, Loel Geaz Ecole Cerale de Naes LMF/EHGO, UMR 6598 d CNRS,, re de la Noë, F-443 Naes Cede 3, Frace rodco
Sharif University of Technology,
-,,,, A FINITE DIFFERENE SHEME TO AATE THE OPTION PRIES IN STOHASTI VOATIITY MODES S. Zaman & B. Zargar Sarf nvers f Tecnlg, zaman@sarf.ed Absrac: In scasc vlal mdels, Erpean pn prces are slns parablc
CHM 101 PRACTICE TEST 1 Page 1 of 4
CHM 101 PRACTICE TEST 1 Page 1 of 4 Please show calculations (stuffed equations) on all mathematical problems!! On the actual test, "naked answers, with no work shown, will receive no credit even if correct.
OPTIMIZATION OF A NONCONVENTIONAL ENGINE EVAPORATOR
Jornal of KONES Powerran and Transpor, Vol. 17, No. 010 OPTIMIZATION OF A NONCONVENTIONAL ENGINE EVAPORATOR Andre Kovalí, Eml Toporcer Unversy of Žlna, Facly of Mechancal Engneerng Deparmen of Aomove Technology
MAT 1275: Introduction to Mathematical Analysis
1 MT 1275: Intrdutin t Mtemtil nlysis Dr Rzenlyum Slving Olique Tringles Lw f Sines Olique tringles tringles tt re nt neessry rigt tringles We re ging t slve tem It mens t find its si elements sides nd
Support vector machines II
CS 75 Mache Learg Lecture Support vector maches II Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square Learl separable classes Learl separable classes: here s a hperplae that separates trag staces th o error
FALL HOMEWORK NO. 6 - SOLUTION Problem 1.: Use the Storage-Indication Method to route the Input hydrograph tabulated below.
Jorge A. Ramírez HOMEWORK NO. 6 - SOLUTION Problem 1.: Use he Sorage-Idcao Mehod o roue he Ipu hydrograph abulaed below. Tme (h) Ipu Hydrograph (m 3 /s) Tme (h) Ipu Hydrograph (m 3 /s) 0 0 90 450 6 50
Optimization Programming Problems For Control And Management Of Bacterial Disease With Two Stage Growth/Spread Among Plants
Internatinal Jurnal f Engineering Science Inventin ISSN (Online): 9 67, ISSN (Print): 9 676 www.ijesi.rg Vlume 5 Issue 8 ugust 06 PP.0-07 Optimizatin Prgramming Prblems Fr Cntrl nd Management Of Bacterial
The Bellman Equation
The Bellman Eqaton Reza Shadmehr In ths docment I wll rovde an elanaton of the Bellman eqaton, whch s a method for otmzng a cost fncton and arrvng at a control olcy.. Eamle of a game Sose that or states
LEARNING : At the end of the lesson, students should be able to: OUTCOMES a) state trigonometric ratios of sin,cos, tan, cosec, sec and cot
Mathematics DM 05 Tpic : Trignmetric Functins LECTURE OF 5 TOPIC :.0 TRIGONOMETRIC FUNCTIONS SUBTOPIC :. Trignmetric Ratis and Identities LEARNING : At the end f the lessn, students shuld be able t: OUTCOMES
Energy Storage Devices
Energy Srage Deces Objece f ecure Descrbe The cnsrucn f an nducr Hw energy s sred n an nducr The elecrcal prperes f an nducr Relanshp beween lage, curren, and nducance; pwer; and energy Equalen nducance