Pikan-based seepage simulation method for heterogeneous reservoirs

Abstract

The present disclosure provides a PIKAN-based heterogeneous reservoir seepage simulation method, which belongs to the field of heterogeneous reservoir development technology, including the following steps: S1, using three independent KAN networks to approximate the PIKAN of pressure p, velocity component vx and velocity component vy respectively; S2, constructing a loss function of the mixed pressure-velocity formula including the residual of the mass conservation formula, the residual of Darcy's law and the residual of the relevant boundary conditions, and optimizing the loss function. The present disclosure adopts the above-mentioned PIKAN-based heterogeneous reservoir seepage simulation method, introduces KAN into the flow simulation of porous media for the first time, and provides a preliminary reference for the development of general seepage simulation tools based on PIKAN.

Dependencies are inferred from the claim text.