Estimation of tracer migration time in ground water flow

A. R. Kasimov, D. M. Tartakovskii

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The problem of the spread of contamination by seepage is solved by optimizing the shape of the channel bed for the objective function - the particle travel time along a streamline with integral constraints, the flow rate and cross-sectional area of the reservoir. The problem can be reduced to the solution of Dirichlet's problem by means of an integral representation of the required analytic function, series expansion of the kernel of the Cauchy integral and the determination of the coefficients of the series from the extremum condition.

Original languageEnglish
Pages (from-to)1535-1541
Number of pages7
JournalComputational Mathematics and Mathematical Physics
Volume33
Issue number11
Publication statusPublished - 1993

Fingerprint

Groundwater Flow
Groundwater flow
Migration
Cauchy Integral
Seepage
Travel Time
Travel time
Streamlines
Extremum
Series Expansion
Contamination
Integral Representation
Flow Rate
Dirichlet Problem
Analytic function
Objective function
Flow rate
kernel
Series
Coefficient

ASJC Scopus subject areas

  • Computational Mathematics

Cite this

Estimation of tracer migration time in ground water flow. / Kasimov, A. R.; Tartakovskii, D. M.

In: Computational Mathematics and Mathematical Physics, Vol. 33, No. 11, 1993, p. 1535-1541.

Research output: Contribution to journalArticle

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