Location

Rolla, Missouri

Session Dates

11 Jun 1999 - 17 Jun 1999

Keywords and Phrases

Direct and Inverse Problem; Convective Diffusion; Linear Accumulation; Integra-Differential Equation; Dimensionless Absorption Coefficient; Dimensionless Accumulation Coefficient

Abstract

Mine working contamination occurs when diffusion in a constant velocity medium is accompanied by a process of absorption and accumulation of the diffunding medium, as described by the generalized convective diffusion equation proposed by J.L. Litwiniszyn. The first part of this article discusses the problem of finding a solution to the integro-differential equation under study for defined initial and boundary conditions corresponding to working with a finite length (direct problem). The second part solves the problem of determining the coefficients of this equation by using the results of measurements of the contaminant concentration by sensors positioned along the working (inverse problem). A computer stimulation model has been conducted by the author.

Department(s)

Mining and Nuclear Engineering

Meeting Name

8th U.S. Mine Ventilation Symposium

Publisher

University of Missouri--Rolla

Document Version

Final Version

Document Type

Article - Conference proceedings

File Type

text

Language

English

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Jun 11th, 12:00 AM Jun 17th, 12:00 AM

Direct and Inverse Problem of Diffusion with Simultaneous Linear Accumulation

Rolla, Missouri

Mine working contamination occurs when diffusion in a constant velocity medium is accompanied by a process of absorption and accumulation of the diffunding medium, as described by the generalized convective diffusion equation proposed by J.L. Litwiniszyn. The first part of this article discusses the problem of finding a solution to the integro-differential equation under study for defined initial and boundary conditions corresponding to working with a finite length (direct problem). The second part solves the problem of determining the coefficients of this equation by using the results of measurements of the contaminant concentration by sensors positioned along the working (inverse problem). A computer stimulation model has been conducted by the author.