Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation

Anvar R. Kacimov

doi:10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0

Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation

Anvar R. Kacimov^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Steady two-dimensional gravity-driven seepage in homogeneous porous lumps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exposed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharge distributions, hinge points, gradients along the lump contour as well as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.

Original language	English
Pages (from-to)	715-723
Number of pages	9
Journal	International Journal for Numerical and Analytical Methods in Geomechanics
Volume	20
Issue number	10
DOIs	https://doi.org/10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0
Publication status	Published - 1996
Externally published	Yes

Keywords

Boundary value problems
Conformal mapping
Hydraulic gradient
Recharge-discharge
Seepage

ASJC Scopus subject areas

Computational Mechanics
Materials Science(all)
Geotechnical Engineering and Engineering Geology
Mechanics of Materials

Access to Document

10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0

Cite this

@article{b1dc678675694734bfc12c30541034e1,

title = "Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation",

abstract = "Steady two-dimensional gravity-driven seepage in homogeneous porous lumps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exposed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharge distributions, hinge points, gradients along the lump contour as well as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.",

keywords = "Boundary value problems, Conformal mapping, Hydraulic gradient, Recharge-discharge, Seepage",

author = "Kacimov, {Anvar R.}",

year = "1996",

doi = "10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0",

language = "English",

volume = "20",

pages = "715--723",

journal = "International Journal for Numerical and Analytical Methods in Geomechanics",

issn = "0363-9061",

publisher = "John Wiley and Sons Ltd",

number = "10",

}

TY - JOUR

T1 - Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation

AU - Kacimov, Anvar R.

PY - 1996

Y1 - 1996

N2 - Steady two-dimensional gravity-driven seepage in homogeneous porous lumps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exposed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharge distributions, hinge points, gradients along the lump contour as well as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.

AB - Steady two-dimensional gravity-driven seepage in homogeneous porous lumps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exposed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharge distributions, hinge points, gradients along the lump contour as well as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.

KW - Boundary value problems

KW - Conformal mapping

KW - Hydraulic gradient

KW - Recharge-discharge

KW - Seepage

UR - http://www.scopus.com/inward/record.url?scp=0030267505&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030267505&partnerID=8YFLogxK

U2 - 10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0

DO - 10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0

M3 - Article

AN - SCOPUS:0030267505

SN - 0363-9061

VL - 20

SP - 715

EP - 723

JO - International Journal for Numerical and Analytical Methods in Geomechanics

JF - International Journal for Numerical and Analytical Methods in Geomechanics

IS - 10

ER -

Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this