Solutions to the inverse coefficient problem for the system of poroelasticity equations based on neural networks

This paper examines the use of neural networks to solve an inverse coefficient problem for a system of poroelastic equations. The problem consists of finding the desired functions of the system along with an unknown coefficient of the equation under an additional boundary condition. In this paper, the unknowns are the shear modulus coefficient and the interfacial friction coefficient. This approach assumes the possibility of setting problems for various coefficients and parameters of the environment involved in the system of equations under consideration or their combination.