3 papers
cs.LG2025
Quantum-Classical Physics-Informed Neural Networks for Solving Reservoir Seepage Equations
Xiang Rao, Yina Liu, Yuxuan Shen
Solving reservoir seepage partial differential equations (PDEs) is critical for hydrocarbon development optimization and production forecasting. Conventional numerical solvers suff…
math.NA2022
A Novel Meshless Method Based on the Virtual Construction of Node Control Domains for Porous Flow Problems
Xiang Rao
In this paper, a novel meshless method that can handle porous flow problems with singular source terms is developed by virtually constructing the node control domains. By defining…
math.NA2021
An Upwind Generalized Finite Difference Method for Meshless Solution of Two-phase Porous Flow Equations
Xiang Rao, Yina Liu, Hui Zhao
This paper makes the first attempt to apply newly developed upwind GFDM for the meshless solution of two-phase porous flow equations. In the presented method, node cloud is used to…