### 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 language | English |
---|---|

Pages (from-to) | 1535-1541 |

Number of pages | 7 |

Journal | Computational Mathematics and Mathematical Physics |

Volume | 33 |

Issue number | 11 |

Publication status | Published - 1993 |

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### ASJC Scopus subject areas

- Computational Mathematics

### Cite this

*Computational Mathematics and Mathematical Physics*,

*33*(11), 1535-1541.

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

Research output: Contribution to journal › Article

*Computational Mathematics and Mathematical Physics*, vol. 33, no. 11, pp. 1535-1541.

}

TY - JOUR

T1 - Estimation of tracer migration time in ground water flow

AU - Kasimov, A. R.

AU - Tartakovskii, D. M.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=38249005260&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249005260&partnerID=8YFLogxK

M3 - Article

VL - 33

SP - 1535

EP - 1541

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 11

ER -