A Rapid Method of Predicting Width and Extent of Hydraulically Induced Fractures

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1、2958ARapidMethodofPredictingWidthandExtentofHydraulicallyInducedFracturesJ.Geertsma,SPE-AIME,Koninklijke/ShellExploratieenProduktieLaboratoriumF.deKlerk,Koninklijke/ShellExploratieenProduktieLaboratoriumIntroductionDuringthehydraulicfracturingtreatmentofanoiloringassump

2、tionshavehadtobemade:gaswelltheliquidpressureintheboreholeisin-1.Theformationishomogeneousandisotropicascreaseduntiltensilestressinthesurroundingrockregardsthoseofitspropertiesthatinfluencethefrac-exceedstensilestrength.Onceatensilefractureisture-propagationprocess.init

3、iated,itispenetratedbyliquidfromtheborehole2.Thedeformationsoftheformationduringfrac-andfracturepropagationundercontinuoushydraulicturepropagationcanbederivedfromlinearelasticactiontakesplace.Thefracturingliquidcarriesastress-strainrelations.proppingagenttoensureahighly

4、permeableflow3.Thefracturingfluidbehaveslikeapurelyviscouschannelafterpressurerelease.liquid;i.e.,anypeculiarflowbehaviorduetotheaddi-Fieldresultsrangefromfailuretoobtainincreasedtionofgellingagentsorotheradditivesisneglected.productiontooutstandingsuccess.Inallcases,ho

5、w-Moreover,theeffectoftheproppingagentdistribu-ever,itunfortunatelyremainsuncertainwhetherthetiononthedistributionoffluidviscosityinthefrac-valueschosenfortheoperationalparameters,suchastureisnottakenintoaccount.injectionrate,pumpingtimeandfluidviscosity,were4.Fluidflow

6、inthefractureiseverywherelaminar.infacttheidealones.Thoughexperienceprovidesa5.Simplegeometricfracture-extensionpatternsarelead,amoresatisfactorywaytopredictresultswouldassumed—eitherradiallysymmetricalpropagationseemtobetosubjectthefracturepropagationprocessfromapoints

7、ource@lg.1A)orrectilinearpropaga-toatheoreticalanalysisthat(1)makesthemaximumtionoriginatingfromalinesource(Fig.1B).Intheuseoftherelevantphysicalinformationand(2)sofirstcasetheperipheryofthefractureiscircular,insimpliiestheresultingcalculationsthatthefielden-thesecondca

8、seitisrectangular.gineergetspracticaldatathathecanhandlecomfort-6.Arectilinearpropagationmodecanbeacconl-ably.