A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification.

In this paper, the effect of random permeability is considered for the real fracture reservoir, hence a stochastic dual-porosity-Navier-Stokes model with random permeability is proposed to simulate shale oil problem based on superhydrophobic material modification. Finite element method and Monte Carlo method are used to deal with discrete physical space and probability space, respectively. The decoupled finite element method with backward-Euler temporal discretization is presented, which allows the coupling problem to be divided into three subproblems in a non-iterative manner. Furthermore, the stability analysis and error estimation of the corresponding partition scheme are given. 2D/3D numerical experiments verify the validity of the theoretical analysis and prove the reliability and applicability of the scheme. [ABSTRACT FROM AUTHOR]