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报告题目: On the classical solution to the macroscopic model for in-situ leaching of rare metals
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.


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本年度学院报告总序号: 479

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