Applied Scientific Research

, Volume 39, Issue 1, pp 45–53

Ground water movement due to arbitrary changes in water level

  • R. Seshadri
  • T. Y. Na
Article

DOI: 10.1007/BF00384370

Cite this article as:
Seshadri, R. & Na, T.Y. Applied Scientific Research (1982) 39: 45. doi:10.1007/BF00384370

Abstract

The non self-similar boundary value problem of ground water movement due to arbitrary changes in water level is solved. The non self-similar solutions are generated from known similarity solutions using numerical methods.

Nomenclature

K

permeability of the aquifer

h

height of water level above the impermeable surface

V

void ratio

x

space coordinate

t

time

x t h

non-dimensional variables

L

characteristic length

f

dependent variable, defined in equation (5)

q

flow through a unit width, defined in equation (23a)

Greek letters

ζ

similarity variable

τ

time coordinate in non self-similar description

Subscripts

n

refers to the value of the function at time τ

Superscripts

ν

is the number of the iteration

Copyright information

© Martinus Nijhoff Publishers 1982

Authors and Affiliations

  • R. Seshadri
    • 1
  • T. Y. Na
    • 2
  1. 1.Syncrude Canada Ltd.EdmontonCanada
  2. 2.Department of Mechanical EngineeringUniversity of MichiganDearbornUSA