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An analytical solution for heterogeneous and anisotropic anticline reservoirs under well injection
Authors:Hund-Der Yeh  Chia-Chen Kuo
Affiliation:1. Institute of Environmental Engineering, National Chiao Tung University, Hsinchu 300, Taiwan;2. National Center for High-Performance Computing, National Applied Research Laboratories, Hsinchu 300, Taiwan
Abstract:This study develops a mathematical model for describing the steady-state head response to fluid injection into a fully penetrating well in a heterogeneous and anisotropic anticline reservoir. In the model, the upper boundary of the anticline reservoir is approximated by a form of step change in reservoir thickness and the domain of the reservoir is divided into two regions with different hydraulic conductivities. By virtue of the properties of Fourier series, the method of separation of variables is employed to develop the analytical solution of the model.
Keywords:Aquifer   Analytical model   Anisotropic   Heterogeneous   Irregular boundary   Well injection
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