The invention discloses an underground
water flow field
physical information neural network modeling method considering
spatial heterogeneity, and belongs to the technical field of underground
water flow fields, and the method comprises the steps: 1, selecting a two-dimensional underground water unstable flow equation as a
physical law, collecting hydrogeological parameters, rainfall, underground water exploitation amount and geographic coordinate data, and carrying out the normalization preprocessing; 2, constructing a PINNs model based on the preprocessed data, dividing a
data set according to 7: 3, dynamically adjusting the weight of a
loss function by means of an NTK technology, and updating parameters through an optimization
algorithm; 3, extracting a
simulation residual error of the PINNs model, inputting the
simulation residual error into a GTWR model for fitting, performing
Kriging interpolation to obtain residual error space distribution, and superposing PINNs
simulation results to obtain a final underground
water flow field simulation result; according to the method, the weight of the
loss function of the PINNs is dynamically adjusted by fusing the neural tangent kernel technology, the
spatial heterogeneity characteristics of the hydrogeological parameters can be adapted, the weight imbalance of physical constraints and
data information is avoided, and the model is guaranteed to meet the
physical law and fit the actual data distribution.