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4 papers · 2 filters
A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media
Guosheng Fu, Yang Yang
We present a hybrid-mixed finite element method for a novel hybrid-dimensional model of single-phase Darcy flow in a fractured porous media. In this model, the fracture is treated…
A Physics Informed Neural Network for Time-Dependent Nonlinear and Higher Order Partial Differential Equations
Revanth Mattey, Susanta Ghosh
A physics informed neural network (PINN) incorporates the physics of a system by satisfying its boundary value problem through a neural network's loss function. The PINN approach h…
The hybrid dimensional representation of permeability tensor: a reinterpretation of the discrete fracture model and its extension on nonconforming meshes
Ziyao Xu, Yang Yang
The discrete fracture model (DFM) has been widely used in the simulation of fluid flow in fractured porous media. Traditional DFM uses the so-called hybrid-dimensional approach to…
A deterministic-statistical approach to reconstruct moving sources using sparse partial data
Yanfang Liu, Yukun Guo, Jiguang Sun
We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In the first step, an approximate direct sa…