简介:Webuiltathree-dimensionalmodeltosimulatethedisturbanceofthestressfieldnearthereversefaultinZhaziao,LeyiTownshipowingtohydraulicfracturing.Theporepressure,andshearandnormalstressesduringfracturingareanalyzedindetail.Inputrockmechanicsparametersaretakenfromlaboratorytestdataofshalesamplesfromthestudyarea.Thesimulationresultssuggestthatafter16hoursoffluidinjection,thepore-pressurevariationcanactivatethereversefault,i.e.,weobservereverseslip,andtheshearstressanddisplacementonthefaultplaneincreasewithtime.Thebiggeststress–strainchangeoccursafteronehouroffluidinjectionandtheyieldpointappearsabout0.5hafterinjection.Toobservethestressevolutionineachsection,thenormaldisplacementontheboundaryisconstrainedandthefaultplaneissetasnonpermeable.Thus,theslidingislimitedandthesheardisplacementisonlyinthescaleofmillimeters,andthecalculatedmagnitudeoftheinducedearthquakesisbetweenMw-3.5andMw-0.2.Thesimulationresultssuggestthatfluidwaterinjectionresultsininhomogeneousfracturing.Themainrupturedareasarearoundtheinjectionpositions,whereastheextentofrupturingandcracksinotherareasarerelativelysmall.Nevertheless,nonnegligiblefaultactivationisrecorded.Sensitivityanalysisofthekeyparameterssuggeststhattheporepressureismostsensitivetothemaximumunbalancedforceandtheinternalfrictionanglestronglyaffectsthefaultslip.Finally,thecomparisonbetweentheeffectivenormalstressandthemaximumandminimumprincipalstressesonthefaultplaneexplainsthefaultinstability,i.e.,theMohrcirclemovestowardstheleftwithdecreasingradiusreducesandintersectsthecriticalslipenvelope,andcausesthefaulttoslip.
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简介:ThevariationsintheEarth’srotationareimportanttospacedynamictheoryandnaturaldisastersbecausetheyaffectthelength-of-day(LOD)andconsequentlyhumanlives.Weusemaximumentropymethod(MEM),Lombmethod(LOMB),andphasedispersionminimization(PDM)todeterminethenaturalperiodsofequallyspacedLODtimeseries.WetransformtheobservationalmonthlyLODtimeseries(LODM)tounequallysampledseries(LODMD)byremovingeveryfourth,third,andhalfofthetotalsamples.WealsoapplysplineinterpolationtoLODMDtoyieldequallyspacedtimeseries(LODMDN).Theresultssuggestthatregardlessofthetimeseries,theMEMfrequencyis0.1660month^-1and0.0840month^-1,whereasLOMBandPDMyield0.166month^-1and0.083month^-1,respectively.Furthermore,missingdatathatarelessthanhalfofthetotaldataorsplineinterpolationdonotaffecttheanalysis.Fortheamplitude,neithermissingdatanorsplineinterpolationaffecttheanalysis.
简介:Inthispaper,wetheoreticallyandnumericallystudyacombinedmonopole–dipolemeasurementmodetoshowitscapabilitytoovercometheissuesencounteredinconventionalsingle-wellimaging,i.e.,thelowsignal-to-noiseratioofthereflectionsandazimuthambiguity.First,theazimuthambiguity,whichexistsextensivelyinconventionalsingle-wellimaging,issolvedwithanimprovedimagingprocedureusingcombinedmonopole–dipoleloggingdatainadditiontoconventionalloggingdata.Furthermore,wedemonstratethatthedirectwavespropagatingalongtheboreholeswithstrongenergy,canbeeffectivelyeliminatedwiththeproposedcombinedmonopole–dipolemeasurementmode.Thereflectionsarethereforepredominantinthecombinedmonopole–dipoledataevenbeforethesignalsarefiltered;thus,thereflections’arrivaltimesineachreceiverareidentified,whichmayhelpminimizethedifficultiesinfilteringconventionalloggingdata.Theoptimizedprocessingflowofthecombinedmeasurementmodeloggingimageisgiveninthispaper.Theproposedcombinedmonopole–dipolemeasurementmodemayimprovetheaccuracyofsingle-wellimaging.
简介:MostcurrentprestackAVAjointinversionmethodsarebasedontheexactZoeppritzequationanditsvariousapproximations.However,theseequationsonlyreflecttherelationbetweenreflectioncoefficients,incidenceangles,andelasticparametersoneithersideoftheinterface,whichmeansthatwave-propagationeffects,suchassphericalspreading,attenuation,transmissionloss,multiples,andeventmismatchingofP-andS-waves,arenotconsideredandcannotaccuratelydescribethetruepropagationcharacteristicsofseismicwaves.ConventionalAVAinversionmethodsrequirethatthesewave-propagationeffectshavebeenfullycorrectedorattenuatedbeforeinversionbuttheserequirementscanhardlybesatisfiedinpractice.Usingaone-dimensional(1D)earthmodel,thereflectivitymethodcansimulatethefullwavefieldresponseofseismicwaves.Therefore,weproposeanonlinearmulticomponentprestackAVAjointinversionmethodbasedonthevectorizedreflectivitymethod,whichusesafastnondominatedsortinggeneticalgorithm(NSGAII)tooptimizethenonlinearmultiobjectivefunctiontoestimatemultipleparameters,suchasP-wavevelocity,S-wavevelocity,anddensity.Thisapproachisrobustbecauseitcansimultaneouslycopewithmorethanoneobjectivefunctionwithoutintroducingweightcoefficients.Modeltestsprovetheeffectivenessoftheproposedinversionmethod.Basedontheinversionresults,wefindthatthenonlinearprestackAVAjointinversionusingthereflectivitymethodyieldsmoreaccurateinversionresultsthantheinversionbyusingtheexactZoeppritzequationwhenthewave-propagationeffectsoftransmissionlossandinternalmultiplesarenotcompletelycorrected.
简介:JointPP–PSinversionoffersbetteraccuracyandresolutionthanconventionalP-waveinversion.P-andS-waveelasticmodulideterminedthroughdatainversionsarekeyparametersforreservoirevaluationandfluidcharacterization.Inthispaper,startingwiththeexactZoeppritzequationthatrelatesP-andS-wavemoduli,acoefficientthatdescribesthereflectionsofP-andconvertedwavesisestablished.Thismethodeffectivelyavoidserrorintroducedbyapproximationsorindirectcalculations,thusimprovingtheaccuracyoftheinversionresults.Consideringthattheinversionproblemisill-posedandthattheforwardoperatorisnonlinear,priorconstraintsonthemodelparametersandmodifiedlow-frequencyconstraintsarealsointroducedtotheobjectivefunctiontomaketheproblemmoretractable.Thismodifiedobjectivefunctionissolvedovermanyiterationstocontinuouslyoptimizethebackgroundvaluesofthevelocityratio,whichincreasesthestabilityoftheinversionprocess.TestsofvariousmodelsshowthatthemethodeffectivelyimprovestheaccuracyandstabilityofextractingPandS-wavemodulifromunderdetermineddata.Thismethodcanbeappliedtoprovideinferencesforreservoirexplorationandfluidextraction.
简介:Finite-difference(FD)methodsarewidelyusedinseismicforwardmodelingowingtotheircomputationalefficiencybutarenotreadilyapplicabletoirregulartopographies.Thus,severalFDmethodsbasedonthetransformationtocurvilinearcoordinatesusingbody-fittedgridshavebeenproposed,e.g.,standstaggeredgrid(SSG)withinterpolation,nonstaggeredgrid,rotatedstaggeredgrid(RSG),andfullystaggered.TheFDbasedontheRSGissomewhatsuperiortoothersbecauseitsatisfiesthespatialdistributionofthewaveequationwithoutadditionalmemoryandcomputationalrequirements;furthermore,itissimplertoimplement.WeusetheRSGFDmethodtotransformthefirstorderstress–velocityequationinthecurvilinearcoordinatessystemandintroducethehighprecisionadaptive,unilateralmimeticfinite-difference(UMFD)methodtoprocessthefreeboundaryconditionsofanirregularsurface.Thenumericalresultssuggestthattheprecisionofthesolutionishigherthanthatofthevacuumformalism.Whentheminimumwavelengthislow,UMFDavoidsthesurfacewavedispersion.WecompareFDmethodsbasedonRSG,SEM,andnonstaggeredgridandinferthatallsimulationresultsareconsistentbutthecomputationalefficiencyoftheRSGFDmethodishigherthantherest.
简介:Anewmulti-moderesistivityimagingsonde,withtoroidalcoilsassource,canconductthreeresistivitymeasurements:azimuthalresistivity,lateralresistivity,andbitresistivitymeasurements.Thus,theloggingtimeandcostaregreatlysaved.Thetoroidalcoilsaresimplifiedasanextendedvoltagedipoleandtheresponseequationsarederivedforahomogenousformation.Basedon3DFEM,thedepthofinvestigation(DOI),verticalresolution,circumferentialazimuthalcapacity,boreholediameter,mudresistivity,thicknessoftargetformation,andtheresistivityofthesurroundingformationandmudinvasionaresimulated.TheresultssuggestthatthethreemeasurementmodesofthenewsondearedifferentinverticalresolutionsandDOIs.Thecircumferentialdetectionabilityoftheazimuthbuttondependsonthecontrastbetweentheanomalyandformationresistivityandtheopenangleoftheanomaly.Whethertheboreholeistruncatedatthebitornothasagreatinfluenceonthesimulationresults.Theboreholeandmudinvasionaffecttheapparentresistivityinallmodes,buttheeffectsofresistivityofsurroundingformationandthicknessofthetargetformationareonlycorrectedforlateralresistivitymeasurement.
简介:Inmarineseismicexploration,ocean-bottomcabletechniquesaccuratelyrecordthemulticomponentseismicwavefield;however,theseismicwavepropagationinfluid–solidmediacannotbesimulatedbyasinglewaveequation.Inaddition,whentheseabedinterfaceisirregular,traditionalfinite-differenceschemescannotsimulatetheseismicwavepropagationacrosstheirregularseabedinterface.Therefore,anacoustic–elasticforwardmodelingandvector-basedP-andS-waveseparationmethodisproposed.Inthismethod,wedividethefluid–solidelasticmediawithirregularinterfaceintoorthogonalgridsandmaptheirregularinterfaceintheCartesiancoordinatessystemintoahorizontalinterfaceinthecurvilinearcoordinatessystemofthecomputationaldomainusingcoordinatestransformation.Theacousticandelasticwaveequationsinthecurvilinearcoordinatessystemareappliedtothefluidandsolidmedium,respectively.Attheirregularinterface,thetwoequationsarecombinedintoanacoustic–elasticequationinthecurvilinearcoordinatessystem.Wenextintroduceafullstaggered-gridschemetoimprovethestabilityofthenumericalsimulation.Thus,separateP-andS-waveequationsinthecurvilinearcoordinatessystemarederivedtorealizetheP-andS-waveseparationmethod.