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MODEL AND METHOD OF WELL TEST ANALYSIS FOR WELLS WITH VERTICAL FRACTURE
引用本文:郭大立 曾晓慧 赵金洲 刘慈群. MODEL AND METHOD OF WELL TEST ANALYSIS FOR WELLS WITH VERTICAL FRACTURE[J]. 应用数学和力学(英文版), 2005, 26(5): 571-578. DOI: 10.1007/BF02466330
作者姓名:郭大立 曾晓慧 赵金洲 刘慈群
作者单位:Department of Computer Science,Southwest Petroleum Institute,Chengdu 610500,P.R.China,Department of Petroleum Engineering,Southwest Petroleum Institute,Chengdu 610500,P.R.China,Department of Postgraduate,Southwest Petroleum Institute,Chengdu 610500,P.R.China,Institute of Porous Flow and Fluid Mechanics,Chinese Academy of Science,Langfang,Hebei 065007,P.R.China
基金项目:theNaturalGasExploitationKeyLabofSichuanProvince (No .0 1 6)
摘    要:NomenclatureB———volumecoefficientofformationfluid,dimensionless;C———wellborestoragecoefficient,m3 MPa;Cft ———comprehensivecompressioncoefficientoffluidinfracture ,1 MPa;Ct ———comprehensivecompressioncoefficientofformationfluid,1 MPa ;h———heightofformation ,m ;K———formationpermeability ,μm2 ;Kf ———fracturepermeability ,μm2 ;KfWf ———fractureconductivity ,μm2 ·cm ;Lf ———halfoffracturelength,m ;N———thetotalnumberofselectedtimepoint,dimensionless;P———for…

关 键 词:垂直压裂 油井测试 多孔介质流体力学 数学模型 自动匹配法
收稿时间:2003-09-20

Model and method of well test analysis for wells with vertical fracture
Guo Da-li,Zeng Xiao-hui,Zhao Jin-zhou,Liu Ci-qun. Model and method of well test analysis for wells with vertical fracture[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(5): 571-578. DOI: 10.1007/BF02466330
Authors:Guo Da-li  Zeng Xiao-hui  Zhao Jin-zhou  Liu Ci-qun
Affiliation:1. Department of Computer Science, Southwest Petroleum Institute, Chengdu 610500, P.R. China
2. Department of Petroleum Engineering, Southwest Petroleum Institute, Chengdu 610500, P.R. China
3. Department of Postgraduate, Southwest Petroleum Institute, Chengdu 610500, P.R. China
4. Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Science, Langfang, Hebei 065007, P.R. China
Abstract:Based on the flow mechanism of hydraulic fractured wells, through integrating linear-flow model and effective well-radius model, a new model of well test analysis for wells with vertical fracture was established. In the model, wellbore storage, the damage in the wall of fracture and all kinds of boundary conditions are considered. The model is concise in form, has intact curves and computes fast, which may meet the demand of real-time computation and fast responded well test interpretation. A new method to determine effective well radius was presented, and the correlation between effective well radius and the fracture length, fracture conductivity, skin factor of fracture was given. Matching flow rate or pressure tested, the optimization model that identified formation and fracture parameters was set up. The automatic matching method was presented by synthetically using step by step linear least square method and sequential quadratic programming. At last, the application was also discussed. Application shows that all of these results can analyze and evaluate the fracturing treatment quality scientifically and rationally, instruct and modify the design of fracturing and improve fracturing design level.
Keywords:vertical fracture  well test  fluid flow through porous medium  model  automatic matching method
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