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 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
Recommended Citation
Lalov, Petko Ivanov, "Direct and Inverse Problem of Diffusion with Simultaneous Linear Accumulation" (1999). U.S. Mine Ventilation Symposium. 6.
https://scholarsmine.mst.edu/usmvs/8usmvs/8usmvs-theme18/6
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.
