[优化模块] Aquifer Characterization

Introduction

This example illustrates how you can use COMSOL Multiphysics’ Optimization interface in combination with a PDE or physics interface to solve inverse-modeling problems (sometimes referred to as parameter estimation or history-matching problems).

The modeling techniques presented here in the context of flow in an aquifer with spatially variable hydraulic conductivity are generally applicable for solving underdetermined optimization problems with COMSOL Multiphysics.


导读

(1) hydraulic conductivity=渗透系数/水力传导系数

渗透系数又称水力传导系数,是描述介质渗透能力的重要水文地质参数。

渗透系数代表当水力坡度为1时,水在介质中的渗流速度,单位是m/d 或 cm/s。

渗透系数K是综合反映土体渗透能力的一个指标,其数值的正确确定对渗透计算有着非常重要的意义。

影响渗透系数大小的因素很多,主要取决于土体颗粒的形状、大小、不均匀系数和水的粘滞性等,要建立计算渗透系数k的精确理论公式比较困难,通常可通过试验方法,包括实验室测定法和现场测定法或经验估算法来确定k值。


(2) A common assumption in the geological sciences

To make use of the experimental data, you must reduce the infinite number of degrees of freedom in the hydraulic-conductivity field to a finite number of unknown parameters. To this end, decompose the quadratic aquifer domain into a 10-by-10 grid of squares of side c = 10 m, and assume that the hydraulic conductivity takes a constant value in each square. The number of parameters characterizing the aquifer is then 100, which gives a welldefined underdetermined inverse model that can be solved quickly as an example problem.

A common assumption in the geological sciences is that spatially distributed parameters follow a geostatistical distribution defined by some parameterized variogram.


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[优化模块] Aquifer Characterization