On the classical solution to the macroscopic model for in-situ leaching of rare metals

报告题目：

报告人：

Professor Anvar Meirmanov

报告人所在单位：

Moscow State University of Civil Engineering, Moscow.

报告日期：

2022-06-02

报告时间：

21:00 - 22:00

报告地点：

ZOOM Id: 836 7313 8944 Passcode: 808818

报告摘要：

We consider initial boundary value problems arising in mathematical models for in -- situ leaching of rare metals or for cleaning the bottom-hole zone of oil wells with double - porosity structure and special periodicity.

First, we consider this physical process at the microscopic level (the characteristic pore size is approximately 5-20 microns, governed by Lame equations for the solid skeleton, the Stokes equations for the liquid component, and the diffusion-convection equations for concentrations of acid and products of a chemical reaction. Due to its dissolution, the solid skeleton has an unknown (free) boundary with the pore and cavity spaces.

Next, assuming the existence of a generalized solution to the corresponding initial-boundary value problem at the microscopic level and using the homogenization method together with the fixed point theorem, we derive the Bio's model describing the physical process of in-situ leaching for slightly viscous liquid in the double - porosity elastic solid skeleton at the macroscopic level.

6.2.pdf

本年度学院报告总序号：

479

科学研究

On the classical solution to the macroscopic model for in-situ leaching of rare metals