Groundwater flow in a medium with a parquet-type conductivity distribution

A. R. Kacimov, Yu V. Obnosov, N. D. Yakimov

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Steady and periodic Darcian ground water flows in an aquifer, in which conductivity changes periodically in space, is studied. The parquet is composed of a doubly periodic system of 'black' and 'white' rectangles such that two adjacent rectangles constitute an elementary cell. The rigorous conjugation conditions (head and normal flux continuity along two adjacent rectangles) are satisfied along the medium division boundary and the periodicity conditions hold along the cell boundary such that within the cell the flow is two-dimensional. Explicit rigorous expressions for the specific discharge vector are presented. The effective conductivity is calculated by rigorous integration of the head and velocity fields over the elementary cell. With variation of the angle of the imposed field the absolute value of effective conductivity is shown to be an ellipse. A steady state regime and a cyclostationary flow are analyzed by tracking marked particles on the scale of the elementary cell. The kinematic characteristics (travel time distributions, path lines, and distortion pictures of reference volumes) are calculated using the Runge-Kutta integration for a limiting case when one side of the constituting rectangles tend to infinity (a fault in a standard layered system). (C) 1999 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)242-249
Number of pages8
JournalJournal of Hydrology
Volume226
Issue number3-4
DOIs
Publication statusPublished - Dec 31 1999

Fingerprint

groundwater flow
conductivity
two-dimensional flow
ellipse
travel time
periodicity
kinematics
aquifer
distribution
particle

Keywords

  • Advection
  • Dispersion
  • Effective conductivity
  • Heterogeneous media
  • Kinematics

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

Groundwater flow in a medium with a parquet-type conductivity distribution. / Kacimov, A. R.; Obnosov, Yu V.; Yakimov, N. D.

In: Journal of Hydrology, Vol. 226, No. 3-4, 31.12.1999, p. 242-249.

Research output: Contribution to journalArticle

Kacimov, A. R. ; Obnosov, Yu V. ; Yakimov, N. D. / Groundwater flow in a medium with a parquet-type conductivity distribution. In: Journal of Hydrology. 1999 ; Vol. 226, No. 3-4. pp. 242-249.
@article{faa4591887ec472a8efeea81d6030d28,
title = "Groundwater flow in a medium with a parquet-type conductivity distribution",
abstract = "Steady and periodic Darcian ground water flows in an aquifer, in which conductivity changes periodically in space, is studied. The parquet is composed of a doubly periodic system of 'black' and 'white' rectangles such that two adjacent rectangles constitute an elementary cell. The rigorous conjugation conditions (head and normal flux continuity along two adjacent rectangles) are satisfied along the medium division boundary and the periodicity conditions hold along the cell boundary such that within the cell the flow is two-dimensional. Explicit rigorous expressions for the specific discharge vector are presented. The effective conductivity is calculated by rigorous integration of the head and velocity fields over the elementary cell. With variation of the angle of the imposed field the absolute value of effective conductivity is shown to be an ellipse. A steady state regime and a cyclostationary flow are analyzed by tracking marked particles on the scale of the elementary cell. The kinematic characteristics (travel time distributions, path lines, and distortion pictures of reference volumes) are calculated using the Runge-Kutta integration for a limiting case when one side of the constituting rectangles tend to infinity (a fault in a standard layered system). (C) 1999 Elsevier Science B.V.",
keywords = "Advection, Dispersion, Effective conductivity, Heterogeneous media, Kinematics",
author = "Kacimov, {A. R.} and Obnosov, {Yu V.} and Yakimov, {N. D.}",
year = "1999",
month = "12",
day = "31",
doi = "10.1016/S0022-1694(99)00151-1",
language = "English",
volume = "226",
pages = "242--249",
journal = "Journal of Hydrology",
issn = "0022-1694",
publisher = "Elsevier",
number = "3-4",

}

TY - JOUR

T1 - Groundwater flow in a medium with a parquet-type conductivity distribution

AU - Kacimov, A. R.

AU - Obnosov, Yu V.

AU - Yakimov, N. D.

PY - 1999/12/31

Y1 - 1999/12/31

N2 - Steady and periodic Darcian ground water flows in an aquifer, in which conductivity changes periodically in space, is studied. The parquet is composed of a doubly periodic system of 'black' and 'white' rectangles such that two adjacent rectangles constitute an elementary cell. The rigorous conjugation conditions (head and normal flux continuity along two adjacent rectangles) are satisfied along the medium division boundary and the periodicity conditions hold along the cell boundary such that within the cell the flow is two-dimensional. Explicit rigorous expressions for the specific discharge vector are presented. The effective conductivity is calculated by rigorous integration of the head and velocity fields over the elementary cell. With variation of the angle of the imposed field the absolute value of effective conductivity is shown to be an ellipse. A steady state regime and a cyclostationary flow are analyzed by tracking marked particles on the scale of the elementary cell. The kinematic characteristics (travel time distributions, path lines, and distortion pictures of reference volumes) are calculated using the Runge-Kutta integration for a limiting case when one side of the constituting rectangles tend to infinity (a fault in a standard layered system). (C) 1999 Elsevier Science B.V.

AB - Steady and periodic Darcian ground water flows in an aquifer, in which conductivity changes periodically in space, is studied. The parquet is composed of a doubly periodic system of 'black' and 'white' rectangles such that two adjacent rectangles constitute an elementary cell. The rigorous conjugation conditions (head and normal flux continuity along two adjacent rectangles) are satisfied along the medium division boundary and the periodicity conditions hold along the cell boundary such that within the cell the flow is two-dimensional. Explicit rigorous expressions for the specific discharge vector are presented. The effective conductivity is calculated by rigorous integration of the head and velocity fields over the elementary cell. With variation of the angle of the imposed field the absolute value of effective conductivity is shown to be an ellipse. A steady state regime and a cyclostationary flow are analyzed by tracking marked particles on the scale of the elementary cell. The kinematic characteristics (travel time distributions, path lines, and distortion pictures of reference volumes) are calculated using the Runge-Kutta integration for a limiting case when one side of the constituting rectangles tend to infinity (a fault in a standard layered system). (C) 1999 Elsevier Science B.V.

KW - Advection

KW - Dispersion

KW - Effective conductivity

KW - Heterogeneous media

KW - Kinematics

UR - http://www.scopus.com/inward/record.url?scp=0033621315&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033621315&partnerID=8YFLogxK

U2 - 10.1016/S0022-1694(99)00151-1

DO - 10.1016/S0022-1694(99)00151-1

M3 - Article

VL - 226

SP - 242

EP - 249

JO - Journal of Hydrology

JF - Journal of Hydrology

SN - 0022-1694

IS - 3-4

ER -