MINI FRAC & AFTER CLOSURE ANALYSIS REPORT
|
|
|
- Anabel Lawrence
- 6 years ago
- Views:
Transcription
1 MINI FRAC & AFTER CLOSURE ANALYSIS REPORT Company Ld. Name Field Name Formaion February 6 18, 013 DISTRIBUTION: Clien Name/Company Ld. DEFINITIVE PROJECT COORDINATOR: PREPARED BY: Definiive Opimizaion DATE: March 7, 013 Definiive Opimizaion AER/OGC Requiremens Oil/Gas Opimizaion - Technical Services 300, 80-6 TH Ave SW, Calgary, Albera TP 3E5 Tel: 1 (855) Fax: 1 (03) Websie:
2 SUMMARY OF RESULTS (MINI-FRAC) 1. Fracure closure ime ( c) was deermined o be min.. Fracure closure pressure (P c) was deermined o be 9033 psia a he oe sleeve (D daum = fkb-tvd), 10 psia a surface. 3. The insananeous shu-in pressure was deermined o be 11 psia a D daum, 6518 psia a surface, and herefore, he ne fracure pressure was calculaed o be 11 psi. Closure ime was iniially difficul o assess, however, was furher confirmed uilizing oher available echniques.. Fracure gradien was deermined o be psi/f. 5. Based on he G-funcion ime (Gc) of 106.5, he fluid efficiency for he waer injecion was deermined o be 98.%. SUMMARY OF RESULTS (AFTER-CLOSURE) 6. The derivaive plo used for afer closure flow regime idenificaion indicaes a ransiion ino a lae-ime rend of approximae -1/ slope signifying linear flow. The presence of pseudo-radial flow was no observed. 7. Alhough pseudo-radial flow was no observed, a lae-ime exrapolaion was conduced on he radial plo o obain a maximum permeabiliy and pressure esimae. In addiion, a lae-ime exrapolaion was also conduced on he linear plo o obain a minimum pressure esimae. Esimaes from he sraigh-line analyses were used as saring parameers for simulaion. The analysis was conduced using a fracure model. Since pseudo-radial flow was no observed, confidence in he resuls is low. However, he esimaed reservoir pressure from simulaion is wihin he pressure range obained. 8. The iniial reservoir pressure of 8698 psia a D daum was obained from simulaion. 9. The flow capaciy (kh) o was also obained from simulaion and was deermined o be md-f. The effecive permeabiliy o oil (k o) was herefore esimaed o be md, based on a ne pay of 15.0 fee. (P098) Definiive Opimizaion AER/OGC Requiremens Oil/Gas Opimizaion - Technical Services 300, 80-6 TH Ave SW, Calgary, Albera TP 3E5 Tel: 1 (855) Fax: 1 (03) Websie:
3 RESULTS Injecion Pressure a D daum, P inj (psia) Insananeous Shu In Pressure a Surface, ISIP (psia) Insananeous Shu In Pressure a D daum, ISIP (psia) Fracure Closure Pressure a Surface, P c (psia) Fracure Closure Pressure a D daum, P c (psia) Ne Fracure Pressure a D daum, pne (psi) Fracure Closure Time, c (min) G-Funcion Time, G c Fracure Gradien, (psi/f) Fluid Efficiency, (%) Esimaed Iniial Reservoir Pressure a D daum, P Ri (psia) Toal Fluid-Loss/Leakoff Coefficien, C (f/min 1/ )... T.e- Reservoir Fluid-Loss/Leakoff Coefficien, C (f/min 1/ )... R 1.69e- Flow Capaciy, (kh) o (md.f) Permeabiliy o Oil, k o (md) Fracure Half-Lengh, X f (f) Choked Fracure Skin, s c Skin equivalen o X f, s xf Apparen Skin, s Amospheric Pressure: psi RESERVOIR PARAMETERS Ne Pay, h (f) Effecive Horizonal Well Lengh, L e (f) Porosiy, φ (%) Gas Sauraion, S g (%) Oil Sauraion, S o (%) Waer Sauraion, S w (%) Temperaure, T R ( F) Source : Company Energy Inc. GAS PROPERTIES Gas Relaive Densiy, G (air = 1)... Gas Composiion, N (%)... Gas Composiion, CO (%)... Gas Composiion, H S (%)... Pseudo Criical Pressure, P c (psi)... Pseudo Criical Temperaure, T c (K)... N/A N/A N/A N/A N/A N/A Source : N/A OIL PROPERTIES Oil API, ( o API) Oil Densiy, (lb/f 3 ) Source : Company Energy Inc. (P098) Definiive Opimizaion AER/OGC Requiremens Oil/Gas Opimizaion - Technical Services 300, 80-6 TH Ave SW, Calgary, Albera TP 3E5 Tel: 1 (855) Fax: 1 (03) Websie:
4 WATER PROPERTIES (Treaing Fluid) Waer Specific Graviy Fluid Composiion... Fresh Waer Surface Fluid Temperaure ( F)... N/A Source : Company Energy Inc. INJECTION Final Injecion/Pump Rae (bbl/min) Final Injecion/Pump Rae (bbl/d) Waer Injecion Volume (bbl) * Pump Time (min) Source : Company Energy Inc., * Includes bbl, 9.9 ppg brine, ** Final pump ime. min. DOWNHOLE CONFIGURATION Well Type... Horizonal Oil Well License KB, (f) GL, (f) KB - GL, (f) Frac Sring Deph, (fkb-md) Frac Sring Deph, (fkb-tvd) Frac Sring O.D., (in) Frac Sring Densiy, (lb/f) Inermediae Casing Deph, (fkb-md) Inermediae Casing Deph, (fkb-tvd) Casing O.D. (in) Casing Densiy, (lb/f) Producion Casing/Liner, (fkb-md) Producion Casing/Liner, (fkb-tvd) Casing/Liner O.D. (in) Casing/Liner Densiy, (lb/f) PBTD, (fkb-md) PBTD, (fkb-tvd) Packer Deph, (fkb-md) Packer Deph, (fkb-tvd) Sage Top, (fkb-md) Sage Top, (fkb-tvd) Sage Boom, (fkb-md) Sage Boom, (fkb-tvd) D daum, (fkb-md) D daum, (fkb-tvd) Source : Company Energy Inc. (P098) Definiive Opimizaion AER/OGC Requiremens Oil/Gas Opimizaion - Technical Services 300, 80-6 TH Ave SW, Calgary, Albera TP 3E5 Tel: 1 (855) Fax: 1 (03) Websie:
5 Liquid Rae (bbl/d) 1000 Company Energy Inc. Name Field / Name Formaion February 6 18, 013 DFIT End Injecion Well Shu In For Falloff Toal Tes Measured pressures were convered from surface o fkb-tvd (Ddaum). 0 Dae 013/0/06 13:19: q w.90 h 0.1 h psi(a) bbl/d ISIP (surface) psi(a) ISIP (D) psi(a) D daum Frac grad f psi/f -000 Pressure (psi(a)) ISIP.91 h 0.00 h psi(a) End of Tes Dae 013/0/18 08:01: h 8.69 h psi(a) Analysis q waer Time (h) WellTes3 TM Ver
6 Liquid Rae (bbl/d) 1000 Company Energy Inc. 100/ W0/0 (Surfac 00-00) Name Field / Name Formaion February 6 18, 013 DFIT Measured pressures were convered from surface o fkb-tvd (Ddaum). Toal Tes (Magnified) End Injecion Well Shu In For Falloff Dae 013/0/06 13:19:3.90 h 0.1 h q w psi(a) bbl/d ISIP (surface) psi(a) ISIP (D) psi(a) D daum Frac grad f psi/f ISIP Pressure (psi(a)) End Injecion Dae 013/0/06 10:36: h 0.03 h q w psi(a) bbl/d End Injecion Dae 013/0/06 11:39:33 1. h 0.0 h q w psi(a) bbl/d.91 h 0.00 h psi(a) Analysis Began Final Injecion Dae 013/0/06 10:3: h 0.00 h q w psi(a) bbl/d End of Falloff Began Injecion Dae 013/0/06 11:38:9 q w 1. h 1.0 h psi(a) 0.00 bbl/d Dae 013/0/06 1:5:57.50 h 1.6 h q w psi(a) 0.00 bbl/d q waer Time (h) WellTes3 TM Ver
7 Firs Derivaive dp/dg (psi(a)) p (psi(a)) Company Energy Inc. Name Field / Name Formaion February 6 18, 013 DFIT 50 G-Funcion Pump Time ISIP (surface) ISIP (D) D daum Frac grad. min psi(a) psi(a) f psi/f Analysis Semilog Derivaive G dp/dg (psi(a)) Fracure Closure Dae 013/0/09 :10:37 G c c c pc (surface) p c p ne min min psi(a) psi(a) % 10.7 psi Semilog Derivaive Firs Derivaive G-funcion ime WellTes3 TM Ver
8 Firs Derivaive dp/d( 1/ ) (psi(a)/hr 1/ ) p (psi(a)) Company Energy Inc. Name Field / Name Formaion February 6 18, 013 DFIT 700 MiniFrac Sqr() Semilog Derivaive ( 1/ ) dp/d( 1/ ) (psi(a)) Pump Time ISIP (surface) ISIP (D) D daum. min psi(a) psi(a) f Frac grad psi/f Fracure Closure Dae 013/0/09 :10:37 c c pc (surface) p c p ne min min psi(a) psi(a) 10.7 psi Semilog Derivaive Firs Derivaive Analysis / (h) WellTes3 TM Ver
9 Firs Derivaive d p/d( ) (psi/hr) Company Energy Inc. Name Field / Name Formaion February 6 18, 013 DFIT 10 5 Derivaive Derivaive daa PPD daa p, Semilog Derivaive ( )d p/d( ) (psi(a)) User Defined Slope Slope -1/ Fracure Closure Dae 013/0/09 :10: (h) WellTes3 TM Ver
10 Company Energy Inc. Name Field / Name Formaion February 6 18, 013 DFIT 900 Minifrac Radial (Nole) p (psi(a)) Pseudo-radial flow was no observed. Permeabiliy is maximum esimae Analysis kh md.f h f k 0.01 md p* psi(a) 8750 Upper range esimae of reservoir pressure F R1 WellTes3 TM Ver
11 Company Energy Inc. Name Field / Name Formaion February 6 18, 013 DFIT 900 Minifrac Linear (Nole) 9100 p (psi(a)) Analysis 1 pc psi(a) C R 1.69e-0 f/min 1/ C T.e-0 f/min 1/ p* psi(a) Lower range esimae of reservoir pressure F L WellTes3 TM Ver
12 p (PPD) (psi/hr) Error (%) Pressure (psi(a)) p (psi(a)) p model Ex. p model Early Time Hisory (h) WellTes3 TM Ver C:\Users\Jean\Documens\Well Tes Analysis\PeraCa Energy Services\ Lawlar 1-15SH\XTO Energy-Lawlar 1-15SH-DFIT ( ).fk 07-Mar-13 Impulse Derivaive ( ) d p/d( ) p model Lae Time 6000 Ex. pmodel Simulaion aemps were conduced wih a primary focus on he lae-ime and early-ime daa o obain esimaes of pressure and permeabiliy. p i (syn) psi(a) p wo (syn) psi(a) Derivaive daa Derivaive model PPD daa PPD model 1 / (h -1 ) Derivaive kh md.f s' h f s Xf k md X f f s c % Error Time (h) (psi hr) p (psi(a)) p model (h)
13 Gauge 1 Casing Temperaure, F Company Energy Inc. Sar Tes Dae: 01/1/13 Final Tes Dae: 013/0/ Surface Pressure and Temperaure Plo Formaion: Well Name Name = p = /0/06 11:39:33 End Injecion = p = /0/06 13:19:3 End of Injecion Well Shu In For Falloff 300 Gauge 1 Casing Pressure, psi(a) = p = /0/06 10:36:03 End Injecion Pressure = p = /0/18 08:01: = p = /0/06 1:5:57 End of Falloff Began Final Injecion = p = /0/06 10:3:0 Began Injecion = p = /0/06 11:38:9 End of Falloff Began Injecion = p = /0/18 08:3: Temperaure :00 1:00 0:00 1:00 0:00 1:00 0:00 1:00 0:00 1:00 0:00 013// /5 /7 /8 /10 /11 /13 /1 /16 /17 /19 Gauge 1 Time
14 Company Energy Inc. Sar Tes Dae: 01/1/13 Final Tes Dae: 013/0/ Surface Pressure Plo (Magnified) Formaion: Well Name Name = p = /0/06 13:19:3 End of Injecion Well Shu In For Falloff Gauge 1 Casing Pressure, psi(a) = p = /0/06 10:36:03 End Injecion = p = /0/06 11:39:33 End Injecion = p = /0/06 11:38:9 End of Falloff Began Injecion = p = /0/06 1:5:57 End of Falloff Began Final Injecion = p = /0/06 10:3:0 Began Injecion 0 10:00 013//6 10:30 11:00 11:30 1:00 1:30 13:00 13:30 1:00 Gauge 1 Time
15 Company Ld. Well Name Name Field Name Formaion February 6 18, 013 * TERMS: The inerpreaions and conclusions presened in his repor are he opinions based on informaion from geological, engineering and oher available daa. This repor embodies he auhor s bes, sound engineering pracices and effors and he resuls are no and should no be guaraneed. The auhor does no guaranee he accuracy of geological, engineering and oher available daa and inerpreaion provided for use in his analysis. The auhor does no accep any responsibiliy and shall no be liable in negligence or oherwise, for any loss or damage resuling from he possession or use of he repor in erms of correcness or oherwise. The use and applicaion of his repor in whole or par is exclusively a he user s own risk. The release of liabiliy shall also be binding upon he clien s permied assigns, adminisraors, heirs, execuors and successors. The auhor s liabiliy o he clien shall no exceed he amoun of fees i received for performing he services under his agreemen under no circumsances. (P098)
PET467E-Analysis of Well Pressure Tests/2008 Spring Semester/İTÜ Midterm Examination (Duration 3:00 hours) Solutions
M. Onur 03.04.008 PET467E-Analysis of Well Pressure Tess/008 Spring Semeser/İTÜ Miderm Examinaion (Duraion 3:00 hours) Soluions Name of he Suden: Insrucions: Before saring he exam, wrie your name clearly
Effect of Heat Loss on Pressure Falloff Tests
Inernaional Journal of Engineering Trends and Technology (IJETT) Volume 39 Number 1- Sepember 016 Effec of Hea Loss on Pressure Falloff Tess Ashkan Jahanbani G. #1, Tom A. Jelmer # #1, eparmen of Peroleum
Math 115 Final Exam December 14, 2017
On my honor, as a suden, I have neiher given nor received unauhorized aid on his academic work. Your Iniials Only: Iniials: Do no wrie in his area Mah 5 Final Exam December, 07 Your U-M ID # (no uniqname):
Use of Gas Phase Tracers for Monitoring CO 2 Injection at the Frio Test Site
Use of Gas Phase Tracers for Monioring CO 2 Injecion a he Frio Tes Sie GCCC Digial Publicaion Series #05-04r K. Pruess B. Freifeld M. Kennedy C. Oldenburg T. J. Phelps M. C. van Soes Keywords: Gas Phase
Module 2 F c i k c s la l w a s o s f dif di fusi s o i n
Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms
KINEMATICS IN ONE DIMENSION
KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings move how far (disance and displacemen), how fas (speed and velociy), and how fas ha how fas changes (acceleraion). We say ha an objec
A First Course on Kinetics and Reaction Engineering. Class 19 on Unit 18
A Firs ourse on Kineics and Reacion Engineering lass 19 on Uni 18 Par I - hemical Reacions Par II - hemical Reacion Kineics Where We re Going Par III - hemical Reacion Engineering A. Ideal Reacors B. Perfecly
Sub Module 2.6. Measurement of transient temperature
Mechanical Measuremens Prof. S.P.Venkaeshan Sub Module 2.6 Measuremen of ransien emperaure Many processes of engineering relevance involve variaions wih respec o ime. The sysem properies like emperaure,
Chapter 15: Phenomena. Chapter 15 Chemical Kinetics. Reaction Rates. Reaction Rates R P. Reaction Rates. Rate Laws
Chaper 5: Phenomena Phenomena: The reacion (aq) + B(aq) C(aq) was sudied a wo differen emperaures (98 K and 35 K). For each emperaure he reacion was sared by puing differen concenraions of he 3 species
Advanced Organic Chemistry
Lalic, G. Chem 53A Chemisry 53A Advanced Organic Chemisry Lecure noes 1 Kineics: A racical Approach Simple Kineics Scenarios Fiing Experimenal Daa Using Kineics o Deermine he Mechanism Doughery, D. A.,
STATE-SPACE MODELLING. A mass balance across the tank gives:
B. Lennox and N.F. Thornhill, 9, Sae Space Modelling, IChemE Process Managemen and Conrol Subjec Group Newsleer STE-SPACE MODELLING Inroducion: Over he pas decade or so here has been an ever increasing
UNIT #4 TEST REVIEW EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Name: Par I Quesions UNIT #4 TEST REVIEW EXPONENTIAL AND LOGARITHMIC FUNCTIONS Dae: 1. The epression 1 is equivalen o 1 () () 6. The eponenial funcion y 16 could e rewrien as y () y 4 () y y. The epression
Explaining Total Factor Productivity. Ulrich Kohli University of Geneva December 2015
Explaining Toal Facor Produciviy Ulrich Kohli Universiy of Geneva December 2015 Needed: A Theory of Toal Facor Produciviy Edward C. Presco (1998) 2 1. Inroducion Toal Facor Produciviy (TFP) has become
Application Note AN Software release of SemiSel version 3.1. New semiconductor available. Temperature ripple at low inverter output frequencies
Applicaion Noe AN-8004 Revision: Issue Dae: Prepared by: 00 2008-05-21 Dr. Arend Winrich Ke y Words: SemiSel, Semiconducor Selecion, Loss Calculaion Sofware release of SemiSel version 3.1 New semiconducor
AP CALCULUS AB 2003 SCORING GUIDELINES (Form B)
SCORING GUIDELINES (Form B) Quesion A blood vessel is 6 millimeers (mm) long Disance wih circular cross secions of varying diameer. x (mm) 6 8 4 6 Diameer The able above gives he measuremens of he B(x)
Development of a new metrological model for measuring of the water surface evaporation Tovmach L. Tovmach Yr. Abstract Introduction
Developmen of a new merological model for measuring of he waer surface evaporaion Tovmach L. Tovmach Yr. Sae Hydrological Insiue 23 Second Line, 199053 S. Peersburg, Russian Federaion Telephone (812) 323
MA Study Guide #1
MA 66 Su Guide #1 (1) Special Tpes of Firs Order Equaions I. Firs Order Linear Equaion (FOL): + p() = g() Soluion : = 1 µ() [ ] µ()g() + C, where µ() = e p() II. Separable Equaion (SEP): dx = h(x) g()
Production Analysis Reserves Estimation in Unconventional Reservoirs New Rate-Time Relations
Naural Gas Engineering Producion Analysis Reserves Esimaion in Unconvenional Reservoirs New Rae-Time Relaions T.A. Blasingame, Texas A&M U. Deparmen of Peroleum Engineering Texas A&M Universiy College
4.1 Other Interpretations of Ridge Regression
CHAPTER 4 FURTHER RIDGE THEORY 4. Oher Inerpreaions of Ridge Regression In his secion we will presen hree inerpreaions for he use of ridge regression. The firs one is analogous o Hoerl and Kennard reasoning
Math 2214 Solution Test 1B Fall 2017
Mah 14 Soluion Tes 1B Fall 017 Problem 1: A ank has a capaci for 500 gallons and conains 0 gallons of waer wih lbs of sal iniiall. A soluion conaining of 8 lbsgal of sal is pumped ino he ank a 10 galsmin.
USP. Surplus-Production Models
USP Surplus-Producion Models 2 Overview Purpose of slides: Inroducion o he producion model Overview of differen mehods of fiing Go over some criique of he mehod Source: Haddon 2001, Chaper 10 Hilborn and
AP CALCULUS AB/CALCULUS BC 2016 SCORING GUIDELINES. Question 1. 1 : estimate = = 120 liters/hr
AP CALCULUS AB/CALCULUS BC 16 SCORING GUIDELINES Quesion 1 (hours) R ( ) (liers / hour) 1 3 6 8 134 119 95 74 7 Waer is pumped ino a ank a a rae modeled by W( ) = e liers per hour for 8, where is measured
Errata (1 st Edition)
P Sandborn, os Analysis of Elecronic Sysems, s Ediion, orld Scienific, Singapore, 03 Erraa ( s Ediion) S K 05D Page 8 Equaion (7) should be, E 05D E Nu e S K he L appearing in he equaion in he book does
Applying Genetic Algorithms for Inventory Lot-Sizing Problem with Supplier Selection under Storage Capacity Constraints
IJCSI Inernaional Journal of Compuer Science Issues, Vol 9, Issue 1, No 1, January 2012 wwwijcsiorg 18 Applying Geneic Algorihms for Invenory Lo-Sizing Problem wih Supplier Selecion under Sorage Capaciy
AP Chemistry--Chapter 12: Chemical Kinetics
AP Chemisry--Chaper 12: Chemical Kineics I. Reacion Raes A. The area of chemisry ha deals wih reacion raes, or how fas a reacion occurs, is called chemical kineics. B. The rae of reacion depends on he
Solutions to Odd Number Exercises in Chapter 6
1 Soluions o Odd Number Exercises in 6.1 R y eˆ 1.7151 y 6.3 From eˆ ( T K) ˆ R 1 1 SST SST SST (1 R ) 55.36(1.7911) we have, ˆ 6.414 T K ( ) 6.5 y ye ye y e 1 1 Consider he erms e and xe b b x e y e b
Vehicle Arrival Models : Headway
Chaper 12 Vehicle Arrival Models : Headway 12.1 Inroducion Modelling arrival of vehicle a secion of road is an imporan sep in raffic flow modelling. I has imporan applicaion in raffic flow simulaion where
Final Exam. Tuesday, December hours
San Francisco Sae Universiy Michael Bar ECON 560 Fall 03 Final Exam Tuesday, December 7 hours Name: Insrucions. This is closed book, closed noes exam.. No calculaors of any kind are allowed. 3. Show all
3.6 Derivatives as Rates of Change
3.6 Derivaives as Raes of Change Problem 1 John is walking along a sraigh pah. His posiion a he ime >0 is given by s = f(). He sars a =0from his house (f(0) = 0) and he graph of f is given below. (a) Describe
SPE ω =... (5)
SPE 9003 Use of Producion Daa Inversion o Evaluae Performance of Naurally Fracured Reservoirs T. Marhaendrajana, Insiu Teknologi Bandung; T.A. Blasingame, Texas A&M Universiy; and J.A. Rushing, Anadarko
04. Kinetics of a second order reaction
4. Kineics of a second order reacion Imporan conceps Reacion rae, reacion exen, reacion rae equaion, order of a reacion, firs-order reacions, second-order reacions, differenial and inegraed rae laws, Arrhenius
Mechanical Fatigue and Load-Induced Aging of Loudspeaker Suspension. Wolfgang Klippel,
Mechanical Faigue and Load-Induced Aging of Loudspeaker Suspension Wolfgang Klippel, Insiue of Acousics and Speech Communicaion Dresden Universiy of Technology presened a he ALMA Symposium 2012, Las Vegas
6.003 Homework 1. Problems. Due at the beginning of recitation on Wednesday, February 10, 2010.
6.003 Homework Due a he beginning of reciaion on Wednesday, February 0, 200. Problems. Independen and Dependen Variables Assume ha he heigh of a waer wave is given by g(x v) where x is disance, v is velociy,
WEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x
WEEK-3 Reciaion PHYS 131 Ch. 3: FOC 1, 3, 4, 6, 14. Problems 9, 37, 41 & 71 and Ch. 4: FOC 1, 3, 5, 8. Problems 3, 5 & 16. Feb 8, 018 Ch. 3: FOC 1, 3, 4, 6, 14. 1. (a) The horizonal componen of he projecile
Cosmic String Loop Distribution with a Gravitational Wave Cutoff
Ouline Inroducion Towards he Cosmological Aracor Cosmic Sring Loop Disribuion wih a Graviaional Wave Cuoff Larissa Lorenz Insiue of Mahemaics and Physics Cenre for Cosmology, Paricle Physics and Phenomenology
not to be republished NCERT MATHEMATICAL MODELLING Appendix 2 A.2.1 Introduction A.2.2 Why Mathematical Modelling?
256 MATHEMATICS A.2.1 Inroducion In class XI, we have learn abou mahemaical modelling as an aemp o sudy some par (or form) of some real-life problems in mahemaical erms, i.e., he conversion of a physical
Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan
Ground Rules PC11 Fundamenals of Physics I Lecures 3 and 4 Moion in One Dimension A/Prof Tay Seng Chuan 1 Swich off your handphone and pager Swich off your lapop compuer and keep i No alking while lecure
UCLA: Math 3B Problem set 3 (solutions) Fall, 2018
UCLA: Mah 3B Problem se 3 (soluions) Fall, 28 This problem se concenraes on pracice wih aniderivaives. You will ge los of pracice finding simple aniderivaives as well as finding aniderivaives graphically
PROC NLP Approach for Optimal Exponential Smoothing Srihari Jaganathan, Cognizant Technology Solutions, Newbury Park, CA.
PROC NLP Approach for Opimal Exponenial Smoohing Srihari Jaganahan, Cognizan Technology Soluions, Newbury Park, CA. ABSTRACT Esimaion of smoohing parameers and iniial values are some of he basic requiremens
1998 Calculus AB Scoring Guidelines
AB{ / BC{ 1999. The rae a which waer ows ou of a pipe, in gallons per hour, is given by a diereniable funcion R of ime. The able above shows he rae as measured every hours for a {hour period. (a) Use a
State-Space Models. Initialization, Estimation and Smoothing of the Kalman Filter
Sae-Space Models Iniializaion, Esimaion and Smoohing of he Kalman Filer Iniializaion of he Kalman Filer The Kalman filer shows how o updae pas predicors and he corresponding predicion error variances when
Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle
Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,
SUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION DOI: 0.038/NCLIMATE893 Temporal resoluion and DICE * Supplemenal Informaion Alex L. Maren and Sephen C. Newbold Naional Cener for Environmenal Economics, US Environmenal Proecion
FITTING OF A PARTIALLY REPARAMETERIZED GOMPERTZ MODEL TO BROILER DATA
FITTING OF A PARTIALLY REPARAMETERIZED GOMPERTZ MODEL TO BROILER DATA N. Okendro Singh Associae Professor (Ag. Sa.), College of Agriculure, Cenral Agriculural Universiy, Iroisemba 795 004, Imphal, Manipur
Interpretation of special relativity as applied to earth-centered locally inertial
Inerpreaion of special relaiviy as applied o earh-cenered locally inerial coordinae sysems in lobal osiioning Sysem saellie experimens Masanori Sao Honda Elecronics Co., Ld., Oyamazuka, Oiwa-cho, Toyohashi,
Appendix to Creating Work Breaks From Available Idleness
Appendix o Creaing Work Breaks From Available Idleness Xu Sun and Ward Whi Deparmen of Indusrial Engineering and Operaions Research, Columbia Universiy, New York, NY, 127; {xs2235,ww24}@columbia.edu Sepember
INVERSE MODELING OF FRACTURED GEOTHERMAL RESERVOIRS USING PRESSURE INTERFERENCE DATA
PROCEEDINGS, Tweny-Eighh Workshop on Geohermal Reservoir Engineering Sanford Universiy, Sanford, California, January 27-29, 23 SGP-TR-173 INVERSE MODELING OF FRACTURED GEOTHERMAL RESERVOIRS USING PRESSURE
6. Solve by applying the quadratic formula.
Dae: Chaper 7 Prerequisie Skills BLM 7.. Apply he Eponen Laws. Simplify. Idenify he eponen law ha you used. a) ( c) ( c) ( c) ( y)( y ) c) ( m)( n ). Simplify. Idenify he eponen law ha you used. 8 w a)
Displacement ( x) x x x
Kinemaics Kinemaics is he branch of mechanics ha describes he moion of objecs wihou necessarily discussing wha causes he moion. 1-Dimensional Kinemaics (or 1- Dimensional moion) refers o moion in a sraigh
Morning Time: 1 hour 30 minutes Additional materials (enclosed):
ADVANCED GCE 78/0 MATHEMATICS (MEI) Differenial Equaions THURSDAY JANUARY 008 Morning Time: hour 30 minues Addiional maerials (enclosed): None Addiional maerials (required): Answer Bookle (8 pages) Graph
Chapter 13 Homework Answers
Chaper 3 Homework Answers 3.. The answer is c, doubling he [C] o while keeping he [A] o and [B] o consan. 3.2. a. Since he graph is no linear, here is no way o deermine he reacion order by inspecion. A
Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture
Scienific Herald of he Voronezh Sae Universiy of Archiecure and Civil Engineering. Consrucion and Archiecure UDC 625.863.6:551.328 Voronezh Sae Universiy of Archiecure and Civil Engineering Ph. D. applican
Solutions to Assignment 1
MA 2326 Differenial Equaions Insrucor: Peronela Radu Friday, February 8, 203 Soluions o Assignmen. Find he general soluions of he following ODEs: (a) 2 x = an x Soluion: I is a separable equaion as we
Exponentially Weighted Moving Average (EWMA) Chart Based on Six Delta Initiatives
hps://doi.org/0.545/mjis.08.600 Exponenially Weighed Moving Average (EWMA) Char Based on Six Dela Iniiaives KALPESH S. TAILOR Deparmen of Saisics, M. K. Bhavnagar Universiy, Bhavnagar-36400 E-mail: kalpesh_lr@yahoo.co.in
2. For a one-point fixed time method, a pseudo-first order reaction obeys the equation 0.309
Chaper 3. To derive an appropriae equaion we firs noe he following general relaionship beween he concenraion of A a ime, [A], he iniial concenraion of A, [A], and he concenraion of P a ime, [P] [ P] Subsiuing
1 Evaluating Chromatograms
3 1 Evaluaing Chromaograms Hans-Joachim Kuss and Daniel Sauffer Chromaography is, in principle, a diluion process. In HPLC analysis, on dissolving he subsances o be analyzed in an eluen and hen injecing
ON THE BEAT PHENOMENON IN COUPLED SYSTEMS
8 h ASCE Specialy Conference on Probabilisic Mechanics and Srucural Reliabiliy PMC-38 ON THE BEAT PHENOMENON IN COUPLED SYSTEMS S. K. Yalla, Suden Member ASCE and A. Kareem, M. ASCE NaHaz Modeling Laboraory,
ACE 564 Spring Lecture 7. Extensions of The Multiple Regression Model: Dummy Independent Variables. by Professor Scott H.
ACE 564 Spring 2006 Lecure 7 Exensions of The Muliple Regression Model: Dumm Independen Variables b Professor Sco H. Irwin Readings: Griffihs, Hill and Judge. "Dumm Variables and Varing Coefficien Models
A Cost Effective and User Friendly Approach to Design Wireline Formation Tests
American Journal of Environmenal Sciences 5 (6): 772-780, 2009 ISSN 1553-345X 2009 Science Publicaions A Cos Effecive and User Friendly Approach o Design Wireline Formaion Tess 1 Clara Berolini, 2 Giuseppe
Lab #2: Kinematics in 1-Dimension
Reading Assignmen: Chaper 2, Secions 2-1 hrough 2-8 Lab #2: Kinemaics in 1-Dimension Inroducion: The sudy of moion is broken ino wo main areas of sudy kinemaics and dynamics. Kinemaics is he descripion
Part Ordering code Marking Remarks 1N4148W-V 1N4148W-V-GS18 or 1N4148W-V-GS08 A2 Tape and Reel
Small Signal Fas Swiching Diode Feaures These diodes are also available in oher case syles including he DO- case wih he ype designaion N8, he MiniMELF case wih he ype designaion LL8, and he SOT- case wih
Licenciatura de ADE y Licenciatura conjunta Derecho y ADE. Hoja de ejercicios 2 PARTE A
Licenciaura de ADE y Licenciaura conjuna Derecho y ADE Hoja de ejercicios PARTE A 1. Consider he following models Δy = 0.8 + ε (1 + 0.8L) Δ 1 y = ε where ε and ε are independen whie noise processes. In
Section 4.4 Logarithmic Properties
Secion. Logarihmic Properies 59 Secion. Logarihmic Properies In he previous secion, we derived wo imporan properies of arihms, which allowed us o solve some asic eponenial and arihmic equaions. Properies
Box-Jenkins Modelling of Nigerian Stock Prices Data
Greener Journal of Science Engineering and Technological Research ISSN: 76-7835 Vol. (), pp. 03-038, Sepember 0. Research Aricle Box-Jenkins Modelling of Nigerian Sock Prices Daa Ee Harrison Euk*, Barholomew
1. VELOCITY AND ACCELERATION
1. VELOCITY AND ACCELERATION 1.1 Kinemaics Equaions s = u + 1 a and s = v 1 a s = 1 (u + v) v = u + as 1. Displacemen-Time Graph Gradien = speed 1.3 Velociy-Time Graph Gradien = acceleraion Area under
Types of Exponential Smoothing Methods. Simple Exponential Smoothing. Simple Exponential Smoothing
M Business Forecasing Mehods Exponenial moohing Mehods ecurer : Dr Iris Yeung Room No : P79 Tel No : 788 8 Types of Exponenial moohing Mehods imple Exponenial moohing Double Exponenial moohing Brown s
Assignment 6. Tyler Shendruk December 6, 2010
Assignmen 6 Tyler Shendruk December 6, 1 1 Harden Problem 1 Le K be he coupling and h he exernal field in a 1D Ising model. From he lecures hese can be ransformed ino effecive coupling and fields K and
4.6 One Dimensional Kinematics and Integration
4.6 One Dimensional Kinemaics and Inegraion When he acceleraion a( of an objec is a non-consan funcion of ime, we would like o deermine he ime dependence of he posiion funcion x( and he x -componen of
The average rate of change between two points on a function is d t
SM Dae: Secion: Objecive: The average rae of change beween wo poins on a funcion is d. For example, if he funcion ( ) represens he disance in miles ha a car has raveled afer hours, hen finding he slope
Suggested Problem Solutions Associated with Homework #5
Suggesed Problem Soluions Associaed wih Homework #5 431 (a) 8 Si has proons and neurons (b) 85 3 Rb has 3 proons and 48 neurons (c) 5 Tl 81 has 81 proons and neurons 43 IDENTIFY and SET UP: The ex calculaes
A High-Speed Machining Algorithm For Continuous Corners
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 78-1684,p-ISSN: 30-334X, Volume 15, Issue 5 Ver. III (Sep. - Oc. 018), PP 64-69 www.iosrjournals.org A High-Speed Machining Algorihm
Time series Decomposition method
Time series Decomposiion mehod A ime series is described using a mulifacor model such as = f (rend, cyclical, seasonal, error) = f (T, C, S, e) Long- Iner-mediaed Seasonal Irregular erm erm effec, effec,
6.003 Homework #8 Solutions
6.003 Homework #8 Soluions Problems. Fourier Series Deermine he Fourier series coefficiens a k for x () shown below. x ()= x ( + 0) 0 a 0 = 0 a k = e /0 sin(/0) for k 0 a k = π x()e k d = 0 0 π e 0 k d
IMPACT OF AN OBLIQUE BREAKING WAVE ON A WALL
Source: Physics of Fluids Vol 6 No pp 6-64 4 DOI: 6/64445 IMPACT OF AN OIQUE REAKING WAVE ON A WA Jian-Jun SHU School of Mechanical & Aerospace Engineering Nanyang Technological Universiy 5 Nanyang Avenue
EFFECT OF OPERATING PARAMETERS ON FORMATION PROCESS OF DEFECTS IN MODERATOR BLOCK IN GRAPHITE REACTORS
Jr of Indusrial Polluion Conrol 32(2)(2016) pp 437-441 wwwiconrolpolluioncom Research EFFECT OF OPERATING PARAMETERS ON FORMATION PROCESS OF A MOCHALOV, A NAYMUSHIN *, V NESTEROV, S SAVANYUK AND I SHAMANIN
Object tracking: Using HMMs to estimate the geographical location of fish
Objec racking: Using HMMs o esimae he geographical locaion of fish 02433 - Hidden Markov Models Marin Wæver Pedersen, Henrik Madsen Course week 13 MWP, compiled June 8, 2011 Objecive: Locae fish from agging
Some Basic Information about M-S-D Systems
Some Basic Informaion abou M-S-D Sysems 1 Inroducion We wan o give some summary of he facs concerning unforced (homogeneous) and forced (non-homogeneous) models for linear oscillaors governed by second-order,
Verification of a CFD benchmark solution of transient low Mach number flows with Richardson extrapolation procedure 1
Verificaion of a CFD benchmark soluion of ransien low Mach number flows wih Richardson exrapolaion procedure S. Beneboula, S. Gounand, A. Beccanini and E. Suder DEN/DANS/DMS/STMF Commissaria à l Energie
Chapter 14 Homework Answers
4. Suden responses will vary. (a) combusion of gasoline (b) cooking an egg in boiling waer (c) curing of cemen Chaper 4 Homework Answers 4. A collision beween only wo molecules is much more probable han
20. Applications of the Genetic-Drift Model
0. Applicaions of he Geneic-Drif Model 1) Deermining he probabiliy of forming any paricular combinaion of genoypes in he nex generaion: Example: If he parenal allele frequencies are p 0 = 0.35 and q 0
Friction (kpa) Cross correlation between qc qc & & fs fs
CPT: CPT- Toal deph:. m, Dae: -- Surface Elevaion:. m Coords: X:., Y:. Cone Cone resisance Sleeve Sleeve fricion Pore Pore pressure Tip resisance (MPa), Fricion (kpa) Cross correlaion beween qc qc & &
Orthogonal optimization of horizontal well fracturing method
Vol.2, No.9, 1030-1034 (2010) hp://dx.doi.org/10.4236/ns.2010.29126 Naural Science Orhogonal opimizaion of horizonal ell fracuring mehod Chi Dong*, Kao-Ping Song, Xiao-Qi Chen Key Laboraory of Minisry
A new Model for Karst Spring Hydrograph Analysis
A new Model for Kars Spring Hydrograph Analysis Ming Ye (mye@fsu.edu) Deparmen of Earh, Ocean, and Amospheric Science, FSU Bin Xu China Universiy of Mining and Technology, Beijing FSU 1 s Kars Symposium
The forward and inverse problems in oil shale modeling
6 Oil Sale Symposium 16-19 Ocober, 006 Te forward and inverse problems in oil sale modeling Ne-Zeng Sun (email: nezeng@ucla.edu) Civil & Environmenal Engineering Deparmen, UCLA, USA Alexander Y. Sun (email:
d 1 = c 1 b 2 - b 1 c 2 d 2 = c 1 b 3 - b 1 c 3
and d = c b - b c c d = c b - b c c This process is coninued unil he nh row has been compleed. The complee array of coefficiens is riangular. Noe ha in developing he array an enire row may be divided or
STRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN
Inernaional Journal of Applied Economerics and Quaniaive Sudies. Vol.1-3(004) STRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN 001-004 OBARA, Takashi * Absrac The
Section 4.4 Logarithmic Properties
Secion. Logarihmic Properies 5 Secion. Logarihmic Properies In he previous secion, we derived wo imporan properies of arihms, which allowed us o solve some asic eponenial and arihmic equaions. Properies
A Model for Water Injection Into Frac-Packed Wells
A Model for Waer Injecion Ino Frac-Packed Wells Ajay Suri, SPE, and Mukul M. Sharma, SPE, Universiy of Texas a Ausin Summary Frac packs are increasingly being used for sand conrol in injecion wells in
Navneet Saini, Mayank Goyal, Vishal Bansal (2013); Term Project AML310; Indian Institute of Technology Delhi
Creep in Viscoelasic Subsances Numerical mehods o calculae he coefficiens of he Prony equaion using creep es daa and Herediary Inegrals Mehod Navnee Saini, Mayank Goyal, Vishal Bansal (23); Term Projec
IB Physics Kinematics Worksheet
IB Physics Kinemaics Workshee Wrie full soluions and noes for muliple choice answers. Do no use a calculaor for muliple choice answers. 1. Which of he following is a correc definiion of average acceleraion?
Viscoelastic Catenary
Viscoelasic Caenary Anshuman Roy 1 Inroducion This paper seeks o deermine he shape of a hin viscoelasic fluid filamen as i sags under is own weigh. The problem is an exension of he viscous caenary [1]
Introduction to Probability and Statistics Slides 4 Chapter 4
Inroducion o Probabiliy and Saisics Slides 4 Chaper 4 Ammar M. Sarhan, asarhan@mahsa.dal.ca Deparmen of Mahemaics and Saisics, Dalhousie Universiy Fall Semeser 8 Dr. Ammar Sarhan Chaper 4 Coninuous Random
Modeling the Dynamics of an Ice Tank Carriage
Modeling he Dynamics of an Ice Tank Carriage The challenge: To model he dynamics of an Ice Tank Carriage and idenify a mechanism o alleviae he backlash inheren in he design of he gearbox. Maplesof, a division
Vanishing Viscosity Method. There are another instructive and perhaps more natural discontinuous solutions of the conservation law
Vanishing Viscosiy Mehod. There are anoher insrucive and perhaps more naural disconinuous soluions of he conservaion law (1 u +(q(u x 0, he so called vanishing viscosiy mehod. This mehod consiss in viewing
Vectorautoregressive Model and Cointegration Analysis. Time Series Analysis Dr. Sevtap Kestel 1
Vecorauoregressive Model and Coinegraion Analysis Par V Time Series Analysis Dr. Sevap Kesel 1 Vecorauoregression Vecor auoregression (VAR) is an economeric model used o capure he evoluion and he inerdependencies
Sliding Mode Controller for Unstable Systems
S. SIVARAMAKRISHNAN e al., Sliding Mode Conroller for Unsable Sysems, Chem. Biochem. Eng. Q. 22 (1) 41 47 (28) 41 Sliding Mode Conroller for Unsable Sysems S. Sivaramakrishnan, A. K. Tangirala, and M.
Variable acceleration, Mixed Exercise 11
Variable acceleraion, Mixed Exercise 11 1 a v 1 P is a res when v 0. 0 1 b s 0 0 v d (1 ) 1 0 1 0 7. The disance ravelled by P is 7. m. 1 a v 6+ a d v 6 + When, a 6+ 0 The acceleraion of P when is 0 m
A unit root test based on smooth transitions and nonlinear adjustment
MPRA Munich Personal RePEc Archive A uni roo es based on smooh ransiions and nonlinear adjusmen Aycan Hepsag Isanbul Universiy 5 Ocober 2017 Online a hps://mpra.ub.uni-muenchen.de/81788/ MPRA Paper No.
Designing Information Devices and Systems I Spring 2019 Lecture Notes Note 17
EES 16A Designing Informaion Devices and Sysems I Spring 019 Lecure Noes Noe 17 17.1 apaciive ouchscreen In he las noe, we saw ha a capacior consiss of wo pieces on conducive maerial separaed by a nonconducive