分形油藏的試井分析模型及其解.pdf

1、西華大學(xué)碩士學(xué)位論文分形油藏的試井分析模型及其解姓名：李偉申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：李順初20100401分形油藏的試井分析模型及其解Abstract’IheclassicalpermeationfluidmechanicsarebasedontheEuclideanspace，namelytheintegraldimensionspace，whichtheporousmediumisapproximativelycon

2、sideredasregularcollectionobjects，andeachporousmediummodeltakesonsocalled“characteristiclength”Infactthestructureofporeandfissureisquitecomplicatedandtheseepagemechanismisacomplexdynamicsystem，andthentheclassicalpermeati

3、onfluidmechanicsbecomehelplesswhenconfrontingwithslratumwhichhavedifferentscale，poorconnectivityanddisorderdistributionThefractaltheoryservesaSapowerfultooltodepictroughness，mutabilityanduneontinuitynefraetaloilreservoir

4、modelbasedonthefractaltheoryhasbeenextensivelyinvestigatedandappliednlecurrentinvestigationsofthefractaloilreservoirmodelarescatteredortheyhavemerelyconsideredacertainflowpatternoraimedatacertainwellsystem，withoutcompreh

5、ensivediscussionofcertainfractaloilreservoirmodelunderdifferentdefiniteconditionsnorsystematicaldiscussionthelongtermasymptoticsolutionandtheshorttermapproximatesolutioninpriorandmiddleperiodinthecourseofwelltestanalysis

6、，letalonedetailedmathematicalargumentaboutvariousformationparameterInaddition，forthegreatdealofcomplexoilreservoirduringlaterexploitationinournation，agreatmanyfiactaloilreservoirswithspecialformationparameterarenotwellco

7、nsideredOnwhetherconsideringtheinfluencecausedbywellborestorageandskineffectornotcomprehensivelymakinguseofthepermeationfluidmechanicsknowledgeandthefractalgeometrictheory，thecirclesourcewellfractaloilreservoirmodels，whi

8、ch謝mtwoinnerboundaries(constantflowrateandconstantpressure)andthreeouterboundaries(infinite，closedandconstantpressure)areestablishedinthispaperMoreoverthepoint—SOurcewellfractaloilreservoirmodelsarealsoestablished、枷tllon

9、lyconstantflowrateinnerboundaryandthreeouterboundariesasmentionedaboveByusingthemethodofmathematicalphysics，relativetheoryofcomplexfunction，andpropertiesofsomespecialfunctions，thesemi—analyticalsolutionsoranalyticalsolut

10、ionsinrealspaceareobtainedBymeansofasymptoticandapproximateformulasofsomespecialfunctionspartlydiscussthelongtermasymptoticsolutionandtheshorttermapproximatesolutionofwelltestanalysisThroughthedeductionofdifferentdefinit

11、eproblemsofunsteadyflowfractaloilreservoirmodels，Wenotonlyfullyunderstandthefractaloilreservoir，butalsodeveloptheapproachtocertainextentinsolvinghomotheticproblems，whichmaybeappliedtootheroilreservoirmodelsaccordinglyKey