Open Access

ARTICLE

Solution of Nonlinear Seepage Model for Well Group in Fractured Low-permeability Reservoirs

Gu Jian-wei¹, Liu Yang¹, Zeng Qing-dong¹

1 School of Petroleum Engineering in China University of Petroleum, Qingdao 266580.

Structural Longevity 2013, 9(3), 181-196. https://doi.org/10.3970/sl.2013.009.181

Abstract

On the basis of describing the nonlinear seepage characteristics in lowpermeability reservoirs and the conductivity varying law of hydraulic fracture, a nonlinear mathematics model which couples low-permeability reservoirs and hydraulic fracture is established. The model takes nonlinear and quasi-linear flow stages in the reservoirs system, and emerging Darcy and non-Darcy flow in the fracture system into account. Finite difference equation set is derived with Taylor expansion method, and stability condition of the scheme is presented; On that basis the computer model is formed. The impact of starting pressure gradient, varying conductivity of the hydraulic fracture on the injection and production well group production performance is analyzed with the computer model. Result shows that adopting the nonlinear model could compute the distribution characteristics of pressure and saturation in the formation more precisely, and describe the production dynamic change law of injection and production well group precisely. The model could be used as a computing tool for injection and production well group hydraulic fracturing optimal design in the low-permeability reservoirs.

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Keywords

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