Semianalytic Solutions for a Well With a Single Finite-Conductivity Vertical Fracture
Semianalytic Solutions for a Well With a Single Finite-Conductivity Vertical Fracture
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DOI：
10.2118/26424-ms
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
T. Blasingame;B. Poe
中科院分区：
文献类型：
--
作者：
T. Blasingame;B. Poe
In this paper,we developa simple,closedformapproximationfor the Laplaeetransformsolutionfor thecaseof a wellwitha finite conductivityverticalfracturein an infiite-acting reservoir. Our hybrid solution is based on a ooupling of the solution for a Minear Me conductivityvetticalfhwxuremodel(whichdoesnot model radial flow) and the solution for a uniform flwdiinfiinite conductivity vertical fracture (whichdoes model scudoradial f flow). ‘Ilxw solutionsarensadilyobtainedfromthe iterature. Overa.lLweconsideroursolutionto be validfor Cp~.S andwe show that our solutiongives leasthan 1percenterror in bothpD andpD’ for C~>2. We suggest that our hybrid solution is not valid for C@iM and do not recommendits use for CpCO.5 underanycltmtnstanoes. We have verifkd this solution against four different solutions given in the literature. Each comparisonwas excellent which suggestathat our simplifkd solution is more than adequatefor practiwdapplications, In particular,we provideveritlcationfor constantrate and constantpressureproductionfor vah-s of Cp between0.2S and 10,000. We also show that our solution is capableof producingveq accuratederivativefunctions. In addition,by reproducingthe literaturesolutions so well, we also verified that individual flow regimes (formation/fracture b-flow, formationlinearflow,andpaeudoradiaI flow)areall modeledaccumtelyby ournewsolution. INTRODUCTION Ourmotivationfor this paperis to providethe technicalaudience with an aoourate,but computationallysimple,approximationfor the Laphwetransformsolutionfor thecaseof a wellwith a f~tc conductivityvertiealfrsotwein an infiiite-actingte-servoir. Wehavethe followingobjectivesforthiswork
