Xian Zhou1, Fei Wang2, Ziyu Wang3, Yunfeng Xu1,*
Energy Engineering, Vol.119, No.2, pp. 653-664, 2022, DOI:10.32604/ee.2022.019072
Abstract The reservoir is the networked rock skeleton of an oil and gas trap, as well as the generic term for the
fluid contained within pore fractures and karst caves. Heterogeneity and a complex internal pore structure
characterize the reservoir rock. By introducing the fractal permeability formula, this paper establishes a
fractal mathematical model of oil-water two-phase flow in an oil reservoir with heterogeneity characteristics and numerically solves the mathematical model using the weighted least squares meshless method.
Additionally, the method’s correctness is verified by comparison to the exact solution. The numerical results
demonstrate that the fractal oil-water two-phase flow mathematical… More >
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