CALCULATION OF BOTTOMHOLE PRESSURE AND SUBMERSIBLE PUMP INTAKE PRESSURE


 Marvin Houston
 2 years ago
 Views:
Transcription
1 CALCULATION OF BOTTOMHOLE PRESSURE AND SUBMERSIBLE PUMP INTAKE PRESSURE Ildar K Shayhutdnov In ths artcle the desgn procedure of a bottomhole pressure and ntake pressure of submersble pump under the fact sheet of operaton of well s offered A feature of the algorthm conssts of usng the gven standard feld values of annulus pressure, dynamc level, flow rate and water cut In artcle results of calculatons are compared to actual measured pressure at the level of pump ntake It s demonstrated, that the appled methodology provdes hgh accuracy of calculaton for requred parameters Wth artfcal lft the mportant parameters of the ol producng wells are the bottomhole pressure as well as the ntake pressure of the submersble pump The defnton accuracy of these parameters s dctated by the necessty to calculate the potental well producton opportuntes when selectng the approprate pumpng equpment and optmzng well performance Fndng BH pressure thru actual well performance data can be dvded n two stages: а) calculaton of pressure dstrbuton n annulus (n tubng) and defnton of pressure at the pump runn depth; б) defnton of pressure n the well bore at the nterval pump ntake BH and estmate of BH pressure Defnton of pressure at the pump ntake The hardest bt n fndng the BH pressure n the producng well s calculaton of pressure at the pump runn depth usng actual well performance data Ths artcle consders methodology for calculaton of mentoned pressure based on plottng the curve of pressure dstrbuton n annulus Fg1 shows the dagram for producng well performance usng submersble pump As a rule, the majorty of producng wells for a more relable pump performance are equpped wth s Wth the bgger part of free gas, lberated from crude, under condtons of pump ntake s drected nto annulus Wth absence of (gas anchor / bottom hole separator) on the pump ntake less quantty of free gas s comng nto annulus Gas phase flow process n annulus can be characterzed as gas lft operaton at zero feed/delvery mode Theoretcal and practcal researches of AP Krylov [1] were devoted to t Equaton for lqudgas mxture flow n ths case s presented the followng way dp a0 = (1) gdl Q a г + Q г  volumetrc gas dscharge/flow n the annulus, m 3 /s;  flud densty n the annulus (presupposng that flud n the annulus s presented by ol), kg/m 3 ; a 0  rato, consderng geometrcal dmenson of flud passage, m 3 /s; g gravty acceleraton, m/s a0 = 0,785( D d ), () D  producton casng ID, m; d  tubng OD, m 0 1
2 Calculaton of pressure dstrbuton n annulus s based on numercal calculaton of equaton (1) wth known pressure at the pump runn depth P At that the teraton procedure s mplemented and actual and calculated pressure at dynamc level P are compared The algorthm for defnton of pressure at the pump runn depth s the followng 1 The followng ntal data are put n: Q ст  flud flow rate under standard condtons, m 3 /day; ϕ  volume rato of water n producton under standard condtons; P зат  annulus pressure, MPa; Т пл  formaton pressure, K; L c  well depth (vertcal), m; H  pump runn depth (vertcal), m; h  well dynamc level (vertcal), m; d  tubng ID, m; d  tubng OD, m; D  producton casng ID, m;  densty of degassed ol under standard condtons, kg/m 3 ; µ  dynamc vscosty of degassed ol under standard condtons, mpa s; P ас  Fg1 Dagram, for calculaton bubble pont pressure at formaton temperature, MPa; of ESP performance wth olgas mx condtons, m 3 /m 3 ; го  densty of gas, lberated from G 0  GOR of ol n place (gasol rato) under normal crude at flash lberaton under normal condtons, kg/m 3 ; y a, y м  mole fracton of ntrogen and methane n gas at flash lberaton;  water densty under standard condtons, kg/m 3 Numercal calculaton of equaton (1) s presented as followng P( Qг + 0,785( D d )) = L (3) 0,785( D d ) g P  pressure steppng, Pa; L  length delta, m Pressure steppng taken and the sequental pressure values are dentfed for varous depths For that the general pressure varaton range ( Р Pзат ) s dvded nto several ntervals, e under condton P = 0,05( P Pзат ), (4) where P зат  annular pressure, Pa; Р  assumed pump ntakelevel pressure (at frst approxmaton s taken at random), Pa Accordngly recurrence relaton defnes the calculated pressures P = P 3 The temperature dstrbuton n producng well bore s defned [] Wth known formaton temperature the temperature at the pump s runn depth (calculaton «bottomup») s calculated thru equaton h t( h) = t пл 1 St (6) d To calculate the temperature dstrbuton above the pump ntake t s necessary to know the wellhead temperature (calculaton «topdown»): N = 1 Р (5)
3 t у t( H ) = (7) H 1 St d In equatons (6) and (7) t пл, t у  formaton and wellhead temperatures accordngly, о С; h  vertcal depth, measured from bottomhole, m; H  vertcal depth, measured from wellhead, m; St  nondmensonal Stanton number Dependence of Stanton number on mass well flow rate s represented as: 4 1, St = 0,0 10, (8) ln( q + 40) where q  mass well flow rate, t/day If wellhead temperature data s not avalable the calculaton of temperature dstrbuton above the pump ntake can be done usng the equaton (6), takng as base for measurng the temperature at the pumpsettng depth In ths case the value of wellhead temperature s the requred parameter and s defned for h = L c H But, n case the well s operated usng centrfugal, cavty/screw or daphragm pump the heatng of lqud gas mx passng the submersble motor wll not be consdered Thus we are gettng the temperature dstrbuton n producng well bore 4 Usng the data of flud propertes we fnd the physcal propertes of ol, gas, water or waterol mx under correspondng thermo dynamc condtons P, T ) [1,] ( 5 The volumetrc gaslqud flow parameters Q and Q г are defned n condtons of pump ntake [] To defne gas volume, gong nto annulus, we need to set the gas separaton rato For that we recommend to use the followng equatons, obtaned from theoretcal and expermental researches []: at the level of flowng lft shoe σ 0 σ = ; (9) at the suckerrod pump ntake ш ф Q 1 + 0,7 w F 0 σ 0 = Q 1+1,05 w F 0 эк эк σ ; (10) at the electrcal submersble pump ntake σ 0 σ ц =, (11) Q 1+ 0,75 w0 f з ' where σ 0  free gas separaton rato wth zero feed/delvery mode d σ 0 = 1 (1) D Here Q  volumetrc flud flow under condtons of pump ntake, m 3 /s; w 0  relatve velocty of gas bubbles, m/s Relatve velocty of gas bubbles depends on the water volume rato n producton: at ϕ 0,5 w0 = 0,0 м / с ; ϕ > 0,5 w0 = 0,17 м / с ; F эк  cross sectonal area of producton casng, m ; f з '  area of crcular clearance between producton casng and submersble pump, m After calculaton of separaton rato the volume Q of gas flow gong nto annulus s defned In case of well operatng wth ESP the volume of gas flow s calculated the followng way: Q = Q σ (13) г з г ц г з 3
4 If the centrfugal s avalable at the ESP s ntake the separaton rato s varyng wthn range 0,60,8 (t s recommended to take t as 0, 7 ) If the gas anchor / bottom hole separator s avalable at the SRP s ntake the separaton rato s varyng wthn range 0,40,6 (t s recommended to take t as 0, 5 ) 6 Values of Q г = Qг з and = assumng there s olgas mx above the pump ntake, values set n equaton (3) and the well depth delta L1 s found Hence, at the depth h1 = H L1 we are havng the pressure P1 = P Р 7 From equatons (6)(8) the temperature T 1 s defned at the depth of h 1 Usng equaton (5) we calculate the sequental pressure step P = P 1 P The followng calculatons are done for the average pressure between P 1 and P : Р1 + Р Р ср = and for the temperature T 1 Here you can see that at numercal ntegraton of equaton (1) the mplemented calculatons are one step behnd n temperature But t appears that calculaton error wth such approxmaton s very mnor The volume of gas flow gong nto annulus s calculated for taken Р : z PT Q г = Qг з, (14) z PT where Q г з  volume of gas flow n annulus under pump ntake condtons, m 3 /s; P, T  taken pump ntake pressure and calculated temperature correspondngly; z, z  correspondngly the supercompressblty ratos for the pump ntake condtons and set Р When calculatng the densty of threephase mx n the annulus addtonal complcatons occur due to necessty to account for dssolved gas lberatng from crude If we presuppose there s no mass exchange/transfer between the flud n the annulus and the flud gong to the pump ntake, then the presence of free gas phase n the annulus wll be determned only by the separaton at the pump s ntake Then flud densty n equaton (3) wll be equal to ol densty at set Р In realty there s a constant mass transfer/exchange process between the flud n the annulus and the flud gong to the pump ntake Accountng for flud densty change n the annulus due to dssolved gas lberatng from crude s done usng the followng correlaton: = ϕ + гс ( 1 ϕ ), (15) where  ol densty n the annulus flud at Р, kg/m 3 ; гс  gas lqud mx densty from crude and gas lberated from t as part of the annulus flud at Р, kg/m 3 ; ϕ  volume rato of ol degassed at Р (wthout consderaton for free gas phase lberated n condtons of pump ntake) It s easy to see that = ( 1 ϕ ) + ϕ, (16) гс 0 ( G ( P, T ) G ) z( P, T ) + 1 P0 T ( G0 м ( P, T ) G0 м ) z( P, T ) PT 0 ϕ =, (17) P T 0 м 0 м PT 0 г р PT 0 = (18) z( P, T ) P0 T Here ϕ  volume rato of gas, lberated at Р (wthout consderaton for free gas phase lberated n condtons of pump ntake);  densty of gas addtonally lberated from crude at Р, kg/m 3 ; G 0 м  specfc volume of gas lberated n condtons of pump 4
5 ntake, modfed to normal condtons, m 3 /t; G0 м ( P, T )  specfc volume of gas lberated at Р, modfed to normal condtons, m 3 /t; г р  densty of gas dssolved n crude n condtons of pump ntake, modfed to normal condtons, kg/m 3 Note: when determnng the densty no free gas accounted lberated n condtons of pump ntake Determnng гс ϕ parameter presents a hard task Based on actual data processng we receved the followng emprcal dependence: 0,5587 Q Qг з ϕ =, (19) Qгс where Q г з  volumetrc gas flow n the annulus n condtons of pump ntake, m 3 /day; Q  volumetrc ol flow n condtons of pump ntake, m 3 /day; Q гс  volumetrc gas lqud mx flow n condtons of pump ntake, m 3 /day Acqured values Q г and are placed n equaton (3) and delta s determned L Value h = h1 L s calculated wth P Р + Р3 Sequental pressure step s taken P 3 = P P, Р ср 3 = etc Thus the sequental/stepbystep calculaton s mplemented tll the vertcal depth h s decreases or equalzes the value of well dynamc level h, e h h Pressure P at the last calculaton sequence/step s defned for certan depth h, and not р for h To determne pressure P drectly at the dynamc level we are usng the followng correlaton р ( h h )( P 1 P ) P = P 1 (0) h 1 h 8 Pressure P at dynamc level s calculated assumng the pump ntake pressure s equal р Р, taken at random at frst approxmaton Pressure р on comparson of calculated P and actual Actual pressure Р at the pump ntake s corrected based Ф P pressures at dynamc level Ф P at dynamc level s determned by known barometrc equaton [1]: 0,03415h Ф P = Pзат е, (1) where Т ср  average temperature n the nterval from the wellhead to dynamc level; z  supercompressblty rato at P зат pressure ср temperature To correct the pump ntake pressure the followng procedure s used: P P f 100% 5% and P ф < P, then the pump ntake pressure taken at frst P approxmaton Р s excessve, and t has to be lowered, for example, take t equal to Р = 0, 95Р ; P P f 100% 5% and P ф > P, then the pump ntake pressure taken at frst P approxmaton Р underrated, and t has to be ncreased, for example, up to value of Р = 1, 05Р P P 9 Calculaton thru ponts 8 s repeated tll condton 100% 5% s ф P fulflled г ср zt 5
6 Durng the mplementaton of teraton procedure the stuaton mght occur when as a result of numercal ntegraton of equaton (1), at the depth sgnfcantly lower than dynamc level the calculated value of pressure appears to be close to atmospherc and lower It happens when ntally settng the overrated pressure value Р at the pump ntake level In ths case the assumed ntal pump ntake pressure s lowered Note: f settng ncorrect ntal data the proposed teraton procedure doesn t always match Hence t s recommended to use the closest soluton of equaton gvng the mnmal accuracy error Also keep n mnd that the algorthm proposed to determne the pump ntake pressure doesn t consder the foamng leadng to data corrupton of measurng the dynamc level n annulus Calculaton examples Thru proposed calculaton algorthm for submersble pump ntake level pressure usng Vsual С++ Borland the software has been created called Well analyst Intal data for calculatons are gven n tables 1 and Calculaton results are gven n table 3 Physcal propertes of olnplace and degassed crude Table 1 Feld, Ol n place Degassed crude and sngle degassng gas formaton Т f, К Р f, MPa Р b, MPa G, m 3 /t b o µ пл, пл, 0, µ 0, г0, N, % mpa*s kg/m 3 kg/m 3 mpa*s kg/m 3 Varyogan, formaton БВ ,4 15,6 175,1 1,49 0, ,1 1,168 1,4 formaton АВ ,1 11,8 97,8 1,7 1, ,0 0,86 0, formaton АВ ,5 9,4 76 1,18 1, ,0 0,86 0, formaton БВ ,19 13, ,6 1, ,0 1,13 3,84 formaton ЮВ , ,4 1, ,6 0,955 3, VKY, formaton ЮВ ,6 36 1,45 0, ,85 0,75 6
7 Well # б Intal data for calculaton of pump ntake pressure and actual values Table Pump set Dynamc Watercut, Pump type depth, m level, m % Feld, formaton Varyogan, formaton БВ 8 formaton АВ 1 1 formaton АВ 1 formaton БВ 8 formaton БВ 8 formaton БВ 8 formaton БВ 8 formaton Annular pressure, Mpa Flud flow rate, m 3 /day Borehole devaton, degrees Pump ntake pressure, Mpa ,9 144,0 80,0 30 8, ,3 144,0 80,0 30 7, ,45 144,0 80,0 30 6, ,5 0,84 8,4 0,0 9 5,8 УЭЦНМ5А УЭЦНМ5А УЭЦНМ5А УЭЦНММ5А wth ,8 33,0 0,0 0 4,8 УШГН ,66 36,0 0,0 0 6,5 УШГН , , , , , , , , , , ЮВ , ,4 formaton ЮВ , ,7 VKY, formaton ЮВ 1 VKY, formaton ЮВ , , , УЭЦН wth gas separator УЭЦНМ5А УЭЦНА wth gas separator УЭЦН5А wth УЭЦН5А wth УЭЦН wth gas separator УЭЦН wth gas separator DN1750 wth DN1300 wth Well Actual pressure, MPa Calculated pressure, MPa Absolute dvergence, MPa Comparson of calculated and actual pressures for revewed wells Table 3 Calculated pressure (MPa) and dvergence from actual (%) at Р ф пр (MPa) б ,4 7,1 6,8 5,8 4,8 6,5,9 11,9 9,7 9,5 5, 3,4 6,7 6,1 6 8,8 7,7 7,04 5,69 4,68 5,89 3,41 1,03 9,69 8,96 5,36 4,16 6,87 6,19 6,43 0,10,170,4 0,11 0,1 0,610,510,13 0,01 0,540,160,760,170,090,43 7
8 As seen from results, gven n table 3, dvergence of calculated from actual pressures does not exceed 0,76 MPa, t shows relatvely hgh accuracy of proposed methodology Besdes the degree of relablty of ndvdual ntal datum leaves much to be desred Applcaton of Well analyst software allows to mplement a farly correct estmate of well potental when selectng the downhole equpment, as well as usng the more correct calculated BH pressure values when adaptng 3D hydrodynamc models Bottomhole pressure calculaton Let s now revew the peculartes of calculatng the pressure dstrbuton wthn the nterval pump ntake bottomhole, as well as BH pressure Calculaton methodology s based on numercal calculaton of the followng dfferental equaton for gas lqud mx flow, assumng the neglgbly small nertal loss, dp dp = см g +, (1) dh dh тр dp where  summarzed (total) pressure gradent durng flow of gas lqud mx n lft, Pa/m; dh см  densty of gas lqud mx, kg/m 3 dp ;  frctonal loss gradent, Pa/m dh тр Numercal calculaton of equaton (1) s not presentng extra complexty from methodology pont of vew and s mplemented thru one of the methods shown n detals [1,] The necessary correlatons stated above are to be consdered as well Concluson The proposed algorthm for determnaton of BH pressure and pump ntake level pressure has the most applcable degree of accuracy comparng wth exstng approaches The pecularty of gven calculaton algorthm for determnaton of BH pressure and pump ntake level pressure s that for ts mplementaton suffcent are the relable data for actual well operaton, content and propertes of produced flud Ths, partcularly, wll allow, when adaptng 3D reservor models, a more qualfed applcaton of prevous multple meterng data for dynamc levels and other well parameters Ths aspect partcularly, for the most part, predetermned the statement of correspondng researches Lterature 1 «Reference gude to desgn the development and operaton of ol felds», edton by ShK Gmatutdnov, Moscow, «Nedra», 1983 Mschenko IT, «Calculatons n ol producton», Moscow, «Nedra», Mchael Lssuk, «Analyss of exstng methodology for determnaton of annular pressure wth ESP well operaton», journal «Technque and process of ol producton»,, 000 Author/Credts Ildar K Shayhutdnov Emal: 8
CHAPTER 9 SECONDLAW ANALYSIS FOR A CONTROL VOLUME. blank
CHAPTER 9 SECONDLAW ANALYSIS FOR A CONTROL VOLUME blank SONNTAG/BORGNAKKE STUDY PROBLEM 91 9.1 An deal steam turbne A steam turbne receves 4 kg/s steam at 1 MPa 300 o C and there are two ext flows, 0.5
More informationI. SCOPE, APPLICABILITY AND PARAMETERS Scope
D Executve Board Annex 9 Page A/R ethodologcal Tool alculaton of the number of sample plots for measurements wthn A/R D project actvtes (Verson 0) I. SOPE, PIABIITY AD PARAETERS Scope. Ths tool s applcable
More informationAn Alternative Way to Measure Private Equity Performance
An Alternatve Way to Measure Prvate Equty Performance Peter Todd Parlux Investment Technology LLC Summary Internal Rate of Return (IRR) s probably the most common way to measure the performance of prvate
More informationLiquid vapour equilibrium calculations for MTBE/MEOH binary system by using Patel & Teja equation of state
34 Peet trool lleeuum & Cooaal ll IISSN 1337707 Avalable onlne at www.vurup.sk/pc Petroleum & Coal 46 (), 3440, 004 Lqud vapour equlbrum calculatons for MTBE/MEOH bnary system by usng Patel & Teja equaton
More informationDEFINING %COMPLETE IN MICROSOFT PROJECT
CelersSystems DEFINING %COMPLETE IN MICROSOFT PROJECT PREPARED BY James E Aksel, PMP, PMISP, MVP For Addtonal Informaton about Earned Value Management Systems and reportng, please contact: CelersSystems,
More informationAPPLICATION OF COMPUTER PROGRAMMING IN OPTIMIZATION OF TECHNOLOGICAL OBJECTIVES OF COLD ROLLING
Journal Journal of Chemcal of Chemcal Technology and and Metallurgy, 50, 6, 50, 2015, 6, 2015 638643 APPLICATION OF COMPUTER PROGRAMMING IN OPTIMIZATION OF TECHNOLOGICAL OBJECTIVES OF COLD ROLLING Abdrakhman
More informationMulticomponent Distillation
Multcomponent Dstllaton need more than one dstllaton tower, for n components, n1 fractonators are requred Specfcaton Lmtatons The followng are establshed at the begnnng 1. Temperature, pressure, composton,
More information9.1 The Cumulative Sum Control Chart
Learnng Objectves 9.1 The Cumulatve Sum Control Chart 9.1.1 Basc Prncples: Cusum Control Chart for Montorng the Process Mean If s the target for the process mean, then the cumulatve sum control chart s
More information"Research Note" APPLICATION OF CHARGE SIMULATION METHOD TO ELECTRIC FIELD CALCULATION IN THE POWER CABLES *
Iranan Journal of Scence & Technology, Transacton B, Engneerng, ol. 30, No. B6, 789794 rnted n The Islamc Republc of Iran, 006 Shraz Unversty "Research Note" ALICATION OF CHARGE SIMULATION METHOD TO ELECTRIC
More informationbenefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ).
REVIEW OF RISK MANAGEMENT CONCEPTS LOSS DISTRIBUTIONS AND INSURANCE Loss and nsurance: When someone s subject to the rsk of ncurrng a fnancal loss, the loss s generally modeled usng a random varable or
More informationImplementation of Deutsch's Algorithm Using Mathcad
Implementaton of Deutsch's Algorthm Usng Mathcad Frank Roux The followng s a Mathcad mplementaton of Davd Deutsch's quantum computer prototype as presented on pages  n "Machnes, Logc and Quantum Physcs"
More informationA hybrid global optimization algorithm based on parallel chaos optimization and outlook algorithm
Avalable onlne www.ocpr.com Journal of Chemcal and Pharmaceutcal Research, 2014, 6(7):18841889 Research Artcle ISSN : 09757384 CODEN(USA) : JCPRC5 A hybrd global optmzaton algorthm based on parallel
More informationOn the Optimal Control of a Cascade of HydroElectric Power Stations
On the Optmal Control of a Cascade of HydroElectrc Power Statons M.C.M. Guedes a, A.F. Rbero a, G.V. Smrnov b and S. Vlela c a Department of Mathematcs, School of Scences, Unversty of Porto, Portugal;
More informationA Computer Technique for Solving LP Problems with Bounded Variables
Dhaka Unv. J. Sc. 60(2): 163168, 2012 (July) A Computer Technque for Solvng LP Problems wth Bounded Varables S. M. Atqur Rahman Chowdhury * and Sanwar Uddn Ahmad Department of Mathematcs; Unversty of
More informationViscosity of Solutions of Macromolecules
Vscosty of Solutons of Macromolecules When a lqud flows, whether through a tube or as the result of pourng from a vessel, layers of lqud slde over each other. The force f requred s drectly proportonal
More informationNumerical Study of Wave Runup around Offshore Structure in Waves
Journal of Advanced Research n Ocean Engneerng Journal of Advanced Research n Ocean Engneerng 2(2) (2016) 061066 http://dx.do.org/10.5574/jaroe.2016.2.2.061 Numercal Study of Wave Runup around Offshore
More informationInequality and The Accounting Period. Quentin Wodon and Shlomo Yitzhaki. World Bank and Hebrew University. September 2001.
Inequalty and The Accountng Perod Quentn Wodon and Shlomo Ytzha World Ban and Hebrew Unversty September Abstract Income nequalty typcally declnes wth the length of tme taen nto account for measurement.
More informationMultivariate EWMA Control Chart
Multvarate EWMA Control Chart Summary The Multvarate EWMA Control Chart procedure creates control charts for two or more numerc varables. Examnng the varables n a multvarate sense s extremely mportant
More informationMAPP. MERIS level 3 cloud and water vapour products. Issue: 1. Revision: 0. Date: 9.12.1998. Function Name Organisation Signature Date
Ttel: Project: Doc. No.: MERIS level 3 cloud and water vapour products MAPP MAPPATBDClWVL3 Issue: 1 Revson: 0 Date: 9.12.1998 Functon Name Organsaton Sgnature Date Author: Bennartz FUB Preusker FUB Schüller
More informationEstimation of Motor Startup Speed Profile Using LowResolution Timing Signals and Motor Speed Torque Curve
Purdue Unversty Purdue epubs Internatonal Compressor Engneerng Conference School of Mechancal Engneerng 2006 Estmaton of Motor Startup Speed Profle Usng LowResoluton Tmng Sgnals and Motor Speed Torque
More informationDETERMINATION OF MOLAR MASS FROM FREEZING POINT DEPRESSION
Exercse 1 DETERINTION OF OLR SS FRO FREEZING POINT DEPRESSION Collgatve propertes The propertes we now consder are the lowerng of vapour pressure, the elevaton of bolng pont, the depresson of freezng pont,
More informationIMPROVEMENT OF CONVERGENCE CONDITION OF THE SQUAREROOT INTERVAL METHOD FOR MULTIPLE ZEROS 1
Nov Sad J. Math. Vol. 36, No. 2, 2006, 009 IMPROVEMENT OF CONVERGENCE CONDITION OF THE SQUAREROOT INTERVAL METHOD FOR MULTIPLE ZEROS Modrag S. Petkovć 2, Dušan M. Mloševć 3 Abstract. A new theorem concerned
More informationSIX WAYS TO SOLVE A SIMPLE PROBLEM: FITTING A STRAIGHT LINE TO MEASUREMENT DATA
SIX WAYS TO SOLVE A SIMPLE PROBLEM: FITTING A STRAIGHT LINE TO MEASUREMENT DATA E. LAGENDIJK Department of Appled Physcs, Delft Unversty of Technology Lorentzweg 1, 68 CJ, The Netherlands Emal: e.lagendjk@tnw.tudelft.nl
More informationNumerical Analysis of the Natural Gas Combustion Products
Energy and Power Engneerng, 2012, 4, 353357 http://dxdoorg/104236/epe201245046 Publshed Onlne September 2012 (http://wwwscrporg/journal/epe) Numercal Analyss of the Natural Gas Combuston Products Fernando
More informationIntroduction: Analysis of Electronic Circuits
/30/008 ntroducton / ntroducton: Analyss of Electronc Crcuts Readng Assgnment: KVL and KCL text from EECS Just lke EECS, the majorty of problems (hw and exam) n EECS 3 wll be crcut analyss problems. Thus,
More informationSIMPLE LINEAR CORRELATION
SIMPLE LINEAR CORRELATION Smple lnear correlaton s a measure of the degree to whch two varables vary together, or a measure of the ntensty of the assocaton between two varables. Correlaton often s abused.
More informationDamage detection in composite laminates using cointap method
Damage detecton n composte lamnates usng contap method S.J. Km Korea Aerospace Research Insttute, 45 EoeunDong, YouseongGu, 35333 Daejeon, Republc of Korea yaeln@kar.re.kr 45 The contap test has the
More informationCHOLESTEROL REFERENCE METHOD LABORATORY NETWORK. Sample Stability Protocol
CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK Sample Stablty Protocol Background The Cholesterol Reference Method Laboratory Network (CRMLN) developed certfcaton protocols for total cholesterol, HDL
More informationPROCESS CHANGING MODEL of STRIP CONTINUOUS HEAT TREATMENT FURNACE and its APPLICATION
Proceedngs of the 1st Internatonal Conference on Computers & Industral Engneerng PROCE CHANGING MODEL of RIP CONINUOU HEA REAMEN FURNACE and ts APPLICAION Dou Rufeng, Wen Zh, Zhou Gang, Lu Xunlang, Lou
More informationRiskbased Fatigue Estimate of Deep Water Risers  Course Project for EM388F: Fracture Mechanics, Spring 2008
Rskbased Fatgue Estmate of Deep Water Rsers  Course Project for EM388F: Fracture Mechancs, Sprng 2008 Chen Sh Department of Cvl, Archtectural, and Envronmental Engneerng The Unversty of Texas at Austn
More informationCHAPTERII WATERFLOODING. Calculating Oil Recovery Resulting from Displ. by an Immiscible Fluid:
CHAPTERII WATERFLOODING Interfacal Tenson: Energy requred ncreasng te area of te nterface by one unt. Te metods of measurng IFT s nclude a rng tensometer, pendant drop and spnnng drop tecnques. IFT s
More informationTECHNICAL NOTES 3. Hydraulic Classifiers
TECHNICAL NOTES 3 Hydraulc Classfers 3.1 Classfcaton Based on Dfferental Settlng  The Hydrocyclone 3.1.1 General prncples of the operaton of the hydrocyclone The prncple of operaton of the hydrocyclone
More informationThe OC Curve of Attribute Acceptance Plans
The OC Curve of Attrbute Acceptance Plans The Operatng Characterstc (OC) curve descrbes the probablty of acceptng a lot as a functon of the lot s qualty. Fgure 1 shows a typcal OC Curve. 10 8 6 4 1 3 4
More informationTHE DISTRIBUTION OF LOAN PORTFOLIO VALUE * Oldrich Alfons Vasicek
HE DISRIBUION OF LOAN PORFOLIO VALUE * Oldrch Alfons Vascek he amount of captal necessary to support a portfolo of debt securtes depends on the probablty dstrbuton of the portfolo loss. Consder a portfolo
More informationLesson 2 Chapter Two Three Phase Uncontrolled Rectifier
Lesson 2 Chapter Two Three Phase Uncontrolled Rectfer. Operatng prncple of three phase half wave uncontrolled rectfer The half wave uncontrolled converter s the smplest of all three phase rectfer topologes.
More informationStress test for measuring insurance risks in nonlife insurance
PROMEMORIA Datum June 01 Fnansnspektonen Författare Bengt von Bahr, Younes Elonq and Erk Elvers Stress test for measurng nsurance rsks n nonlfe nsurance Summary Ths memo descrbes stress testng of nsurance
More informationHomework 11. Problems: 20.37, 22.33, 22.41, 22.67
Homework 11 roblems: 0.7,.,.41,.67 roblem 0.7 1.00kg block o alumnum s heated at atmospherc pressure such that ts temperature ncreases rom.0 to 40.0. Fnd (a) the work done by the alumnum, (b) the energy
More informationSPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background:
SPEE Recommended Evaluaton Practce #6 efnton of eclne Curve Parameters Background: The producton hstores of ol and gas wells can be analyzed to estmate reserves and future ol and gas producton rates and
More information1. Fundamentals of probability theory 2. Emergence of communication traffic 3. Stochastic & Markovian Processes (SP & MP)
6.3 /  Communcaton Networks II (Görg) SS20  www.comnets.unbremen.de Communcaton Networks II Contents. Fundamentals of probablty theory 2. Emergence of communcaton traffc 3. Stochastc & Markovan Processes
More informationCausal, Explanatory Forecasting. Analysis. Regression Analysis. Simple Linear Regression. Which is Independent? Forecasting
Causal, Explanatory Forecastng Assumes causeandeffect relatonshp between system nputs and ts output Forecastng wth Regresson Analyss Rchard S. Barr Inputs System Cause + Effect Relatonshp The job of
More informationChapter 7. RandomVariate Generation 7.1. Prof. Dr. Mesut Güneş Ch. 7 RandomVariate Generation
Chapter 7 RandomVarate Generaton 7. Contents Inversetransform Technque AcceptanceRejecton Technque Specal Propertes 7. Purpose & Overvew Develop understandng of generatng samples from a specfed dstrbuton
More informationCalculating the high frequency transmission line parameters of power cables
< ' Calculatng the hgh frequency transmsson lne parameters of power cables Authors: Dr. John Dcknson, Laboratory Servces Manager, N 0 RW E B Communcatons Mr. Peter J. Ncholson, Project Assgnment Manager,
More informationModule 2 LOSSLESS IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur
Module LOSSLESS IMAGE COMPRESSION SYSTEMS Lesson 3 Lossless Compresson: Huffman Codng Instructonal Objectves At the end of ths lesson, the students should be able to:. Defne and measure source entropy..
More informationSemiconductor sensors of temperature
Semconductor sensors of temperature he measurement objectve 1. Identfy the unknown bead type thermstor. Desgn the crcutry for lnearzaton of ts transfer curve.. Fnd the dependence of forward voltage drop
More informationCan Auto Liability Insurance Purchases Signal Risk Attitude?
Internatonal Journal of Busness and Economcs, 2011, Vol. 10, No. 2, 159164 Can Auto Lablty Insurance Purchases Sgnal Rsk Atttude? ChuShu L Department of Internatonal Busness, Asa Unversty, Tawan ShengChang
More informationInstitute of Informatics, Faculty of Business and Management, Brno University of Technology,Czech Republic
Lagrange Multplers as Quanttatve Indcators n Economcs Ivan Mezník Insttute of Informatcs, Faculty of Busness and Management, Brno Unversty of TechnologCzech Republc Abstract The quanttatve role of Lagrange
More informationControl Charts for Means (Simulation)
Chapter 290 Control Charts for Means (Smulaton) Introducton Ths procedure allows you to study the run length dstrbuton of Shewhart (Xbar), Cusum, FIR Cusum, and EWMA process control charts for means usng
More informationFrequency Selective IQ Phase and IQ Amplitude Imbalance Adjustments for OFDM Direct Conversion Transmitters
Frequency Selectve IQ Phase and IQ Ampltude Imbalance Adjustments for OFDM Drect Converson ransmtters Edmund Coersmeer, Ernst Zelnsk Noka, Meesmannstrasse 103, 44807 Bochum, Germany edmund.coersmeer@noka.com,
More informationNasdaq Iceland Bond Indices 01 April 2015
Nasdaq Iceland Bond Indces 01 Aprl 2015 Fxed duraton Indces Introducton Nasdaq Iceland (the Exchange) began calculatng ts current bond ndces n the begnnng of 2005. They were a response to recent changes
More informationRESEARCH ON DUALSHAKER SINE VIBRATION CONTROL. Yaoqi FENG 1, Hanping QIU 1. China Academy of Space Technology (CAST) yaoqi.feng@yahoo.
ICSV4 Carns Australa 9 July, 007 RESEARCH ON DUALSHAKER SINE VIBRATION CONTROL Yaoq FENG, Hanpng QIU Dynamc Test Laboratory, BISEE Chna Academy of Space Technology (CAST) yaoq.feng@yahoo.com Abstract
More informationLinear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits
Lnear Crcuts Analyss. Superposton, Theenn /Norton Equalent crcuts So far we hae explored tmendependent (resste) elements that are also lnear. A tmendependent elements s one for whch we can plot an / cure.
More informationHYPOTHESIS TESTING OF PARAMETERS FOR ORDINARY LINEAR CIRCULAR REGRESSION
HYPOTHESIS TESTING OF PARAMETERS FOR ORDINARY LINEAR CIRCULAR REGRESSION Abdul Ghapor Hussn Centre for Foundaton Studes n Scence Unversty of Malaya 563 KUALA LUMPUR Emal: ghapor@umedumy Abstract Ths paper
More informationMolecular Dynamics Simulation of Ablation and Spallation of Gold irradiated by femtosecond laser
Molecular Dynamcs Smulaton of Ablaton and Spallaton of Gold rradated by femtosecond laser Bran J. Demaske, V.V. Zhakhovsky, Ivan I. Oleynk Department of Physcs, Unversty of South Florda Ablaton Spallaton
More informationCharacterization of Assembly. Variation Analysis Methods. A Thesis. Presented to the. Department of Mechanical Engineering. Brigham Young University
Characterzaton of Assembly Varaton Analyss Methods A Thess Presented to the Department of Mechancal Engneerng Brgham Young Unversty In Partal Fulfllment of the Requrements for the Degree Master of Scence
More informationAn Introduction to 3G MonteCarlo simulations within ProMan
An Introducton to 3G MonteCarlo smulatons wthn ProMan responsble edtor: Hermann Buddendck AWE Communcatons GmbH OttoLlenthalStr. 36 D71034 Böblngen Phone: +49 70 31 71 49 716 Fax: +49 70 31 71 49
More informationNonlinear data mapping by neural networks
Nonlnear data mappng by neural networks R.P.W. Dun Delft Unversty of Technology, Netherlands Abstract A revew s gven of the use of neural networks for nonlnear mappng of hgh dmensonal data on lower dmensonal
More informationRisk Model of LongTerm Production Scheduling in Open Pit Gold Mining
Rsk Model of LongTerm Producton Schedulng n Open Pt Gold Mnng R Halatchev 1 and P Lever 2 ABSTRACT Open pt gold mnng s an mportant sector of the Australan mnng ndustry. It uses large amounts of nvestments,
More informationNumber of Levels Cumulative Annual operating Income per year construction costs costs ($) ($) ($) 1 600,000 35,000 100,000 2 2,200,000 60,000 350,000
Problem Set 5 Solutons 1 MIT s consderng buldng a new car park near Kendall Square. o unversty funds are avalable (overhead rates are under pressure and the new faclty would have to pay for tself from
More informationCommunication Networks II Contents
8 / 1  Communcaton Networs II (Görg)  www.comnets.unbremen.de Communcaton Networs II Contents 1 Fundamentals of probablty theory 2 Traffc n communcaton networs 3 Stochastc & Marovan Processes (SP
More informationStudy on Model of Risks Assessment of Standard Operation in Rural Power Network
Study on Model of Rsks Assessment of Standard Operaton n Rural Power Network Qngj L 1, Tao Yang 2 1 Qngj L, College of Informaton and Electrcal Engneerng, Shenyang Agrculture Unversty, Shenyang 110866,
More informationIDENTIFICATION AND CONTROL OF A FLEXIBLE TRANSMISSION SYSTEM
Abstract IDENTIFICATION AND CONTROL OF A FLEXIBLE TRANSMISSION SYSTEM Alca Esparza Pedro Dept. Sstemas y Automátca, Unversdad Poltécnca de Valenca, Span alespe@sa.upv.es The dentfcaton and control of a
More information8.5 UNITARY AND HERMITIAN MATRICES. The conjugate transpose of a complex matrix A, denoted by A*, is given by
6 CHAPTER 8 COMPLEX VECTOR SPACES 5. Fnd the kernel of the lnear transformaton gven n Exercse 5. In Exercses 55 and 56, fnd the mage of v, for the ndcated composton, where and are gven by the followng
More informationTime Value of Money Module
Tme Value of Money Module O BJECTIVES After readng ths Module, you wll be able to: Understand smple nterest and compound nterest. 2 Compute and use the future value of a sngle sum. 3 Compute and use the
More informationFORCED CONVECTION HEAT TRANSFER IN A DOUBLE PIPE HEAT EXCHANGER
FORCED CONVECION HEA RANSFER IN A DOUBLE PIPE HEA EXCHANGER Dr. J. Mchael Doster Department of Nuclear Engneerng Box 7909 North Carolna State Unversty Ralegh, NC 276957909 Introducton he convectve heat
More informationTraffic State Estimation in the Traffic Management Center of Berlin
Traffc State Estmaton n the Traffc Management Center of Berln Authors: Peter Vortsch, PTV AG, Stumpfstrasse, D763 Karlsruhe, Germany phone ++49/72/965/35, emal peter.vortsch@ptv.de Peter Möhl, PTV AG,
More informationInterleaved Power Factor Correction (IPFC)
Interleaved Power Factor Correcton (IPFC) 2009 Mcrochp Technology Incorporated. All Rghts Reserved. Interleaved Power Factor Correcton Slde 1 Welcome to the Interleaved Power Factor Correcton Reference
More informationResearch on Transformation Engineering BOM into Manufacturing BOM Based on BOP
Appled Mechancs and Materals Vols 1012 (2008) pp 99103 Onlne avalable snce 2007/Dec/06 at wwwscentfcnet (2008) Trans Tech Publcatons, Swtzerland do:104028/wwwscentfcnet/amm101299 Research on Transformaton
More informationInterlude: Interphase Mass Transfer
Interlude: Interphase Mass Transfer The transport of mass wthn a sngle phase depends drectly on the concentraton gradent of the transportng speces n that phase. Mass may also transport from one phase to
More informationSection B9: Zener Diodes
Secton B9: Zener Dodes When we frst talked about practcal dodes, t was mentoned that a parameter assocated wth the dode n the reverse bas regon was the breakdown voltage, BR, also known as the peaknverse
More informationLaws of Electromagnetism
There are four laws of electromagnetsm: Laws of Electromagnetsm The law of BotSavart Ampere's law Force law Faraday's law magnetc feld generated by currents n wres the effect of a current on a loop of
More informationLiquidVapor Equilibria in Binary Systems 1
LqudVapor Equlbra n Bnary Systems 1 Purpose The purpose of ths experment s to study a bnary lqudvapor equlbrum of chloroform and acetone. Measurements of lqud and vapor compostons wll be made by refractometry.
More informationFeature selection for intrusion detection. Slobodan Petrović NISlab, Gjøvik University College
Feature selecton for ntruson detecton Slobodan Petrovć NISlab, Gjøvk Unversty College Contents The feature selecton problem Intruson detecton Traffc features relevant for IDS The CFS measure The mrmr measure
More informationTime Series Analysis in Studies of AGN Variability. Bradley M. Peterson The Ohio State University
Tme Seres Analyss n Studes of AGN Varablty Bradley M. Peterson The Oho State Unversty 1 Lnear Correlaton Degree to whch two parameters are lnearly correlated can be expressed n terms of the lnear correlaton
More informationThe issue of June, 1925 of Industrial and Engineering Chemistry published a famous paper entitled
Revsta Cêncas & Tecnologa Reflectons on the use of the Mccabe and Thele method GOMES, João Fernando Perera Chemcal Engneerng Department, IST  Insttuto Superor Técnco, Torre Sul, Av. Rovsco Pas, 1, 1049001
More informationColocalization of Fluorescent Probes
Colocalzaton of Fluorescent Probes APPLICATION NOTE #1 1. Introducton Fluorescence labelng technques are qute useful to mcroscopsts. Not only can fluorescent probes label subcellular structures wth a
More informationTHE METHOD OF LEAST SQUARES THE METHOD OF LEAST SQUARES
The goal: to measure (determne) an unknown quantty x (the value of a RV X) Realsaton: n results: y 1, y 2,..., y j,..., y n, (the measured values of Y 1, Y 2,..., Y j,..., Y n ) every result s encumbered
More informationVLSI Technology Dr. Nandita Dasgupta Department of Electrical Engineering Indian Institute of Technology, Madras
VLI Technology Dr. Nandta Dasgupta Department of Electrcal Engneerng Indan Insttute of Technology, Madras Lecture  11 Oxdaton I netcs of Oxdaton o, the unt process step that we are gong to dscuss today
More informationSIMULATION OF THERMAL AND CHEMICAL RELAXATION IN A POSTDISCHARGE AIR CORONA REACTOR
XVIII Internatonal Conference on Gas Dscharges and Ther Applcatons (GD 2010) Grefswald  Germany SIMULATION OF THERMAL AND CHEMICAL RELAXATION IN A POSTDISCHARGE AIR CORONA REACTOR M. Mezane, J.P. Sarrette,
More informationErrorPropagation.nb 1. Error Propagation
ErrorPropagaton.nb Error Propagaton Suppose that we make observatons of a quantty x that s subject to random fluctuatons or measurement errors. Our best estmate of the true value for ths quantty s then
More informationTopical Workshop for PhD students Adsorption and Diffusion in MOFs Institut für Nichtklassische Chemie, Germany, www.unileipzig.
Gas Separaton and Purfcaton Measurement of Breakthrough Curves Topcal Workshop for PhD students Adsorpton and Dffuson n MOFs Adsorpton on Surfaces / Separaton effects Useful features Thermodynamc effect
More informationTrafficlight a stress test for life insurance provisions
MEMORANDUM Date 006097 Authors Bengt von Bahr, Göran Ronge Traffclght a stress test for lfe nsurance provsons Fnansnspetonen P.O. Box 6750 SE113 85 Stocholm [Sveavägen 167] Tel +46 8 787 80 00 Fax
More informationwhere the coordinates are related to those in the old frame as follows.
Chapter 2  Cartesan Vectors and Tensors: Ther Algebra Defnton of a vector Examples of vectors Scalar multplcaton Addton of vectors coplanar vectors Unt vectors A bass of noncoplanar vectors Scalar product
More informationAnalysis of Reactivity Induced Accident for Control Rods Ejection with Loss of Cooling
Analyss of Reactvty Induced Accdent for Control Rods Ejecton wth Loss of Coolng Hend Mohammed El Sayed Saad 1, Hesham Mohammed Mohammed Mansour 2 Wahab 1 1. Nuclear and Radologcal Regulatory Authorty,
More informationAnalysis of Covariance
Chapter 551 Analyss of Covarance Introducton A common tas n research s to compare the averages of two or more populatons (groups). We mght want to compare the ncome level of two regons, the ntrogen content
More informationComparing Class Level Chain Drift for Different Elementary Aggregate Formulae Using Locally Collected CPI Data
Comparng Class Level Chan Drft for Dfferent Elementary Aggregate Formulae Usng Gareth Clews 1, Anselma DobsonMcKttrck 2 and Joseph Wnton Summary The Consumer Prces Index (CPI) s a measure of consumer
More informationEE201 Circuit Theory I 2015 Spring. Dr. Yılmaz KALKAN
EE201 Crcut Theory I 2015 Sprng Dr. Yılmaz KALKAN 1. Basc Concepts (Chapter 1 of Nlsson  3 Hrs.) Introducton, Current and Voltage, Power and Energy 2. Basc Laws (Chapter 2&3 of Nlsson  6 Hrs.) Voltage
More informationIntroduction TSGR1#5(99)623. TSGRAN Working Group 1 (Radio) meeting #5 Cheju, South Korea, June 1~4 th, Agenda Item: Smart Antenna Technology
TSGRA Workng Group 1 (Rado) meetng #5 Cheu, South Korea, June 1~4 th, 1999 TSGR1#5(99)623 Agenda Item: Source: Ttle: CWTS WG1 Smart Antenna Technology Document for: Consderaton Introducton Followng the
More informationMINIMISING INVENTORY COSTS BY PROPERLY CHOOSING THE LEVEL OF SAFETY STOCK
ECONOMIC AND BUSINESS REVIEW VOL. No. 2 2009 09 7 09 MINIMISING INVENTORY COSTS BY PROPERLY CHOOSING THE LEVEL OF SAFETY STOCK LILJANA FERBAR TRATAR* ABSTRACT: Markets are everyday becomng ever more demandng
More informationOptimal Bidding Strategies for Generation Companies in a DayAhead Electricity Market with Risk Management Taken into Account
Amercan J. of Engneerng and Appled Scences (): 86, 009 ISSN 94700 009 Scence Publcatons Optmal Bddng Strateges for Generaton Companes n a DayAhead Electrcty Market wth Rsk Management Taken nto Account
More informationWHOLESALE MARKET ENERGY CALCULATION PROCEDURES (VICTORIA)
WHOLESALE MARKET ENERGY CALCULATION PROCEDURES (VICTORIA) PREPARED BY: Operatons Meterng & Settlements DOCUMENT NO: 306198 VERSION NO: NGR 1.0 : FINAL Approved for dstrbuton and use: M. ZEMA CHIEF EXECUTIVE
More informationDetecting Leaks from Waste Storage Ponds using Electrical Tomographic Methods
Detectng Leas from Waste Storage Ponds usng Electrcal Tomographc Methods Andrew Bnley #, Wllam Daly ## & Abelardo Ramrez ## # Lancaster Unversty, Lancaster, LA1 4YQ, UK ## Lawrence Lvermore Natonal Laboratory,
More informationCompaction of the diamond Ti 3 SiC 2 graded material by the high speed centrifugal compaction process
Archves of Materals Scence and Engneerng Volume 8 Issue November 7 Pages 67768 Internatonal Scentfc Journal publshed monthly as the organ of the Commttee of Materals Scence of the Polsh Academy of Scences
More informationTECHNICAL NOTES 4 VIBRATING SCREENS
TECHNICAL NOTES 4 VIBRATING SCREENS Copyrght R P Kng 2000 SIZE CLASSIFICATION It s always necessary to control the sze characterstcs of partculate materal that s fed to process equpment that separates
More informationJoint Resource Allocation and BaseStation. Assignment for the Downlink in CDMA Networks
Jont Resource Allocaton and BaseStaton 1 Assgnment for the Downlnk n CDMA Networks Jang Won Lee, Rav R. Mazumdar, and Ness B. Shroff School of Electrcal and Computer Engneerng Purdue Unversty West Lafayette,
More informationGraph Theory and Cayley s Formula
Graph Theory and Cayley s Formula Chad Casarotto August 10, 2006 Contents 1 Introducton 1 2 Bascs and Defntons 1 Cayley s Formula 4 4 Prüfer Encodng A Forest of Trees 7 1 Introducton In ths paper, I wll
More informationIdentifying Workloads in Mixed Applications
, pp.395400 http://dx.do.org/0.4257/astl.203.29.8 Identfyng Workloads n Mxed Applcatons Jeong Seok Oh, Hyo Jung Bang, Yong Do Cho, Insttute of Gas Safety R&D, Korea Gas Safety Corporaton, ShghungSh,
More informationThinking about Newton's Laws
Newtonan modellng In ths actvty you wll see how Newton s Laws of Moton are used to connect the moton of an object wth the forces actng on t. You wll practse applyng Newton s three laws n some real contexts.
More informationSupport Vector Machines
Support Vector Machnes Max Wellng Department of Computer Scence Unversty of Toronto 10 Kng s College Road Toronto, M5S 3G5 Canada wellng@cs.toronto.edu Abstract Ths s a note to explan support vector machnes.
More informationSolutions to First Midterm
rofessor Chrstano Economcs 3, Wnter 2004 Solutons to Frst Mdterm. Multple Choce. 2. (a) v. (b). (c) v. (d) v. (e). (f). (g) v. (a) The goods market s n equlbrum when total demand equals total producton,.e.
More informationA Performance Analysis of View Maintenance Techniques for Data Warehouses
A Performance Analyss of Vew Mantenance Technques for Data Warehouses Xng Wang Dell Computer Corporaton Round Roc, Texas Le Gruenwald The nversty of Olahoma School of Computer Scence orman, OK 739 Guangtao
More information