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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i12.20
pages 1071-1086

ANALYSIS ON UNSTEADY FLOW FOR POWER-LAW FLUIDS IN DUAL FRACTAL MEDIA

Ming-Qing Kui
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China; Qinghai Oilfield Company, PetroChina, Dunhuang 736200, China
Xiao-Hua Tan
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China
Xiao-Ping Li
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China
Jianchao Cai
Hubei Subsurface Multi-Scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, P.R. China

RÉSUMÉ

Power-law fluid flow in heterogeneous porous media is a common natural phenomenon and has received much attention over three decades in an extensive variety of fields. This paper establishes a transient flow model of dual fractal media created by embedding tree-shaped fractal networks into a fractal porous media. The physical and mathematical models for power-law unsteady flow in the dual fractal media are established and the mathematical model is solved using the Laplace transform and Stehfest numerical inversion method. Five flow regimes for pressure type curves can be established. Type curves are dominated by fracture, matrix fractal parameters, and fluid properties. The influences of different fractal factors and power-law fluid parameters on pressure transient responses are discussed. Different parameters have special influences on type curves. Based on good agreement between the predictions of the model and the well testing data obtained in the present work, we argue that the semianalytical dual fractal modeling is also suitable for heavy oil reservoirs and may provide a practical method to solve empirical cases. Power-law fluid flow in dual fractal media is an interesting and challenging topic, and this work is in process.


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