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Pressure transient behavior of a slanted well with an impermeable fault

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Journal of Hydrodynamics 2014年第6期26卷 980-985页

作者：冯国庆刘启国 State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation Southwest Petroleum University

Analytical solution is obtained for the pressure response of a slanted well in a slab reservoir with an impermeable fault. Based on the basic point source solution in an infinite space, the basic point source solution is obtained by using the mirror image principle. Wellbore pressure response of a slanted well is obtained by integration of the basic point source solution along the trajectory of a slanted well and the type curves are computed. The dimensionless bottom hole pressure and type curves are obtained and the sensitivities of related parameters are discussed. The model presented in this paper could be used for the well test analysis of a slanted well in a reservoir bounded by an impermeable fault.

关键词： slanted well point source solution impermeable fault type curves

PRESSURE TRANSIENT ANALYSIS OF HETEROGENOUS RESERVOIRS WITH IMPERMEABILITY BARRIER USING PERTURBATION BOUNDARY ELEMENT METHOD

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Journal of Hydrodynamics 2005年第1期17卷 102-109页

作者： YINHong-jun HEYing-fu FUChun-quan DepartmentofPetroleumEngineering DaqingPetroleumInstituteDaqing163318China InstituteofPorousflowandFluidMechanics ChineseAcademyofSciencesLangfang065007China

The transient flow mathematical model of arbitrary shaped heterogeneous reservoirs with impermeability barrier is proposed in this paper. In order to establish this model, the perturbation method is employed and the solution of model is expanded into a series in powers of perturbation parameter. By using the Boundary Element Method (BEM) and Duhamel principle, wellbore pressure with effects of skins and wellbore storage is obtained. The type curves are plotted and analyzed considering effects of heterogeneity, arbitrary shape and impermeable barriers. Finally, the results obtained by perturbation boundary element method is compared with the analytical solution and is available for the transient pressure analysis of arbitrary shaped reservoirs.

关键词： heterogeneous reservoirs arbitrary shape impermeable barrier perturbation equation boundary element method pressure transient analysis type curves

Non-Darcian Flow Toward a Finite-Diameter Vertical Well in a Confined Aquifer

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Pedosphere 2008年第3期18卷 288-303页

作者： WEN Zhang HUANG Guan-Hua ZHAN Hong-Bin College o.f Water Conservancy and Civil Engineering China Agricultural University Beijing 100083 （China） Chinese-Israeli International Center for Research and Training in Agriculture Beijing 100083 （China） Department of Geology and Geophysics Texas A＆M University College Station Texas 77843-3115 （USA）

Non-Darcian radial flow toward a finite-diameter, fully penetrating well in a confined aquifer was analyzed on the basis of the Izbash equation with consideration of the wellbore storage effect. We derived semi-analytical solutions of drawdown by using the Boltzmann transform, and obtained approximate analytical solutions of the drawdown at early and late times. MATLAB programs were developed to facilitate computation of the semi-analytical solutions. The turbulence factor v which was directly related to the pumping rate appeared to have negligible influence upon the wellbore well function at early times, but imposed significant influence at intermediate and late times. However, the turbulence factor v imposed non-negligible influence upon the aquifer well function during the entire pumping period, provided that the observation point was not sufficiently close to the wellbore. Sensitivity analysis indicated that the power index n in the Izbash equation had less influence on the type curves at the face of the pumping wellbore, but had much greater influence upon the well function in the aquifer. As the n values increased, the drawdown in the aquifer decreased at early times and increased at late times. The Boltzmann transformation could only be used in an approximate sense for radial non-Darcian flow problems. This approximation would provide accurate solutions at early times, and introduce small but consistent discrepancies at intermediate and late times for the wellbore well function.

关键词： finite-diameter well non-Darcian flow' type curves well function wellbore storage