Junction models for simulating proppant transport in dynamic fracture networks

Abstract

In accordance with embodiments of the present disclosure, a methodology may be used to computationally simulate a system of equations relating to the junction points of a dynamic fracture network (DFN). The simulation may utilize one or more efficient algorithms to perform a realistic, physically conservative, and stable coupled simulation of the DFN's complex flows. These algorithms may use assumptions based on the transient Navier-Stokes equations to perform the proppant laden flow simulation. As described in detail below, the algorithms may utilize a numerical methodology that accurately simulates a junction system of equations arising from solving the fluid and proppant flows inside individual fractures based on Navier-Stokes equations along with a proppant transport equation.