2.5-dimensional natural electric field numerical simulation method based on natural unit infinite element coupling

Abstract

The invention provides a 2.5-dimensional natural electric field numerical simulation method based on natural unit infinite element coupling, and the method comprises the following specific steps: S1,building a two-dimensional natural electric field electric model, setting a discrete point set in a natural unit region according to model parameters, and expanding an infinite element at the boundaryof the region to serve as a boundary unit; S2, constructing a differential equation satisfied by the 2.5-dimensional natural electricity field electricity model, and deriving a variation form based on natural unit infinite element coupling and an integral form of the variation form; s3, constructing a natural element method based on a Laplace interpolation function, and deriving a basic equationof a 2.5-dimensional natural element shape function and a derivative thereof; s4, constructing a basic equation of a 2.5-dimensional infinite element shape function and a derivative thereof; s5, calculating a total stiffness matrix under each wave number condition; s6, processing power supply information; and S7, solving the large sparse equation set to obtain a wave number domain natural potential profile under each wave number condition, and finally performing inverse Fourier transform on each wave number domain natural potential profile to obtain a natural potential profile under a spatialdomain.

Description

technical field [0001] The present invention relates to a 2.5-dimensional natural electric field numerical simulation algorithm based on natural unit infinite element coupling, in particular to a high-precision and high-efficiency forward simulation of natural electric field applicable to complex, multi-source and dynamic source models related to engineering and environment Methods. Background technique [0002] As a passive source method, the natural electric field method is sensitive to a variety of seepage movement, redox and microbial activity signals associated with pollution diffusion, and is suitable for engineering and environmental geophysical prospecting, especially for the detection and monitoring of underground organic pollutants. [0003] The methods currently applied to the numerical simulation of steady current fields have their own advantages, but they also have certain defects. Numerical methods with grids, such as finite element, finite difference, etc., n...

AI Technical Summary

Problems solved by technology

Numerical methods with grids, such as finite element, finite difference, etc., need to construct grid cells. This process not only increases the pre-processing workload, but also makes numerical simulation of complex models difficult; while element-free methods are not restricted by grids. , but the amount of calculation is huge, and its shape function does not satisfy the interpolation property, which makes it difficult to impose essential boundary conditions

Images