A Meshless Numerical Modeling Method for Fractured Reservoirs Based on Extended Finite Volume Method

Summary In this paper, a meshless numerical modeling method named mesh-free discrete fracture model (MFDFM) of fractured reservoirs based on the newly developed extended finite volume (EFVM) is proposed. First, matching and nonmatching point cloud generation algorithms are to discretize reservoir domain with networks, which avoid gridding challenges in traditional mesh-based methods. Then, taking oil/water two-phase flow as an example, MFDFM derives EFVM scheme governing equations, constructs various types connections between matrix nodes nodes, calculates corresponding transmissibilities. Finally, equations generalized difference boundary conditions form global nonlinear do not increase degree nonlinearity compared those (FVM)-based simulator. The can be solved by existing solver FVM-based simulator only adding linear conditions, reduce difficulty forming general purpose MFDFM-based Several test cases implemented illustrate that proposed achieve good computational performance under clouds, for heterogeneous reservoirs, complex geometry, comparing results embedded (EDFM). Thus, retains performances methods difficulties handling geometry domain, first framework parallel (DFM) EDFM.