A new three-layer grid multiscale finite element method for simulating groundwater flow in heterogeneous aquifers

Abstract

The invention discloses a novel three-layer grid multi-scale finite element method for simulating groundwater flow in a heterogeneous aquifer. The three-layer grid refers to dividing the research area into coarse grids, and then dividing each coarse It is divided into medium grid units, and finally each medium grid is divided into fine grid units, thus improving the coarse-scale basis function construction method of the multi-scale finite element method. The present invention proposes a method for constructing coarse-scale basis functions by using the multi-scale finite element method itself instead of the finite element method, constructing the mesoscale basis functions on the local mesogrid, and using the mesoscale basis functions to construct the coarse-scale basis functions, which can significantly Improve the construction efficiency of coarse-scale basis functions. The invention has extremely high calculation accuracy and calculation efficiency when simulating groundwater problems, and can adopt a flexible grid division method according to actual problems, which is very convenient and efficient, and has broad application prospects.

Description

technical field [0001] The invention belongs to the technical field of hydraulics, and in particular relates to a novel three-layer grid multi-scale finite element method for simulating groundwater flow in a heterogeneous aquifer. Background technique [0002] The finite element method is one of the powerful and effective numerical methods for solving groundwater problems. The finite element algorithm not only has high solution accuracy, but also can adapt to various complex boundary conditions. It is an effective modern engineering calculation method. However, when using traditional numerical methods such as finite element to solve the problem of groundwater with strong heterogeneity, fine subdivision is required to ensure that the permeability coefficient in the grid cell is approximately constant, which leads to too many unknown items and a lot of computational consumption. When simulating groundwater problems with complex characteristics such as time, space, large scale ...

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Problems solved by technology

However, the traditional multi-scale finite element method still needs a lot of calculation consumption to construct basis functions when simulating large-scale and high-computational groundwater problems

With the development of economy and society, my country has increasing requirements for groundwater problems in time and space scales and simulation accuracy. The low structural efficiency of multi-scale finite element method basis functions will limit its development and application in the field of hydrogeology.

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