Journal
ENERGY EXPLORATION & EXPLOITATION
Volume 40, Issue 3, Pages 926-946Publisher
SAGE PUBLICATIONS INC
DOI: 10.1177/01445987221090366
Keywords
Pressure transient analysis; multi-wing fractured vertical well; coalbed methane; complexity of porous media; anomalous diffusion; stress sensitivity
Categories
Funding
- National Key S&T Special Projects
- National Natural Science Foundation of China [2017ZX05008-004-004-001, 41972129]
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In this paper, a semi-analytical mathematical model of pressure transient analysis (PTA) for MWFV in CBM reservoir is proposed, considering the complexity of porous media by introducing fractal geometry, the anomalous diffusion based on fractional calculus, and the stress sensitivity represented by the exponential expression. The solution of the bottom hole pressure is obtained using line source theory, dimensionless transformation, Pedrosa transformation, and other methods. The PTA curve is presented by the Stehfest inversion method, and seven flowing regimes are identified. The results provide better guidance to understand the CBM production performance in MWFV.
In this paper, a semi-analytical mathematical model of pressure transient analysis (PTA) for multi-wing fractured vertical well (MWFV) in coalbed methane (CBM) reservoir is proposed, which considers the complexity of porous media by fractal geometry, the anomalous diffusion based on fractional calculus and the stress sensitivity represented by the exponential expression. Then through line source theory, dimensionless transformation, Pedrosa transformation, and other methods, the solution of the bottom hole pressure is obtained. At last, the PTA curve is presented by the Stehfest inversion method, and seven flowing regimes are identified. It can be observed that after introducing fractal geometry and fractional calculus, the PTA curve is quite different from the traditional curve in the slope of the derivative curve. The influences of related parameters are discussed, including mass fractal dimension, anomalous diffusion coefficient, number of hydraulic fractures, fracture angle, and stress sensitivity factor. Relevant results can provide better guidance to understand the CBM production performance in MWFV.
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