The invention relates to the technical field of
seismic engineering, and provides a method and
system for solving a
seismic wave propagation equation based on a
physical information neural network, and the method comprises the steps: determining a space domain, a
time domain, an initial condition and a boundary condition of a one-dimensional
seismic wave equation; initial boundary value coordinate points are randomly extracted to serve as a training
data set constraint network, and Latin
hypercube sampling is utilized to generate space-
time domain configuration points to meet
partial differential equation constraint; a
physical information neural
network model is established, after space-time coordinates are input, equation residual errors are calculated through automatic differential, and initial boundary value loss and physical residual errors are combined to construct a composite
loss function for training; and proposing a self-adaptive region sampling strategy based on residual errors,
resampling a high residual error region according to an average residual error value of the configuration points in a
training period, and iteratively optimizing network parameters after a newly added point and an initial configuration point are fused. According to the method, by dynamically enhancing the sampling density of a high-error region, the L2 relative error of a prediction solution is reduced by one
order of magnitude, the network is effectively prevented from falling into
local optimum, the convergence efficiency is remarkably improved, grid
discretization or prior data support is not needed, and a high-precision meshless solution scheme is provided for a one-dimensional
seismic wave equation.