Abstract: Provided is a simulation method of distribution of electric field or magnetic field values for two-phase conducting media, including: 1) setting a simulated computation area, setting electric field or magnetic field distribution nodes in the simulated computation area, and setting an artificial current source at the origin of coordinates; 2) selecting a shape function, and setting shape function parameters, Gaussian integral parameters, and electromagnetic parameters; 3) loading a node and searching for nodes in the radius of the support domain, discretizing the definite integral by a 4-point Gaussian integral equation, then interpolating and summing to obtain the fractional derivative of the shape function, assigning the shape function result to the corresponding position of the large sparse matrix in the spatial fractional electric field diffusion equation.

Abstract: Provided is a space-time fractional conductivity modeling and simulation method of two-phase conducting media, including: 1) setting a simulated computation area, setting electric field or magnetic field distribution nodes in the simulated computation area, and setting an artificial current source at the origin of coordinates; 2) selecting a shape function in the entire computation area by a meshless method, and setting shape function parameters, Gaussian integral parameters, electromagnetic parameters, distance between the transmitting system and the receiving system, and the range of the frozen soil layer; 3) loading a first computation point and searching for nodes in the radius of the support domain, discretizing the definite integral by a 4-point Gaussian integral equation, then interpolating and summing to obtain the fractional derivative of the shape function, assigning the shape function result to the corresponding position of the large sparse matrix in the spatial fractional electric field diffusion