Explanation of paradoxes in Dupuit-Forchheimer seepage theory. / Don Kirkham.

By: Don KirkhamMaterial type: TextTextSeries: Vol.12 No. 1Publisher: Lahore: West Pakistan Engineering congress, West Pakistan Engineering congress, 1967Description: 39 pages: Illustrations, 28cmSubject(s): Soil | SeepageDDC classification: 530 EXP 1967
Contents:
Introduction
Definition of a D.F Soil
Two false flow models
Summary: Cutting into a porous medium of a large number of vertical, parallel, infinitely permeable, equally spaced, infinitesimally thin slots produces a fictitious soil that follows, exactly and without paradoxes Dupuit's assumptions and hence Dupuit-Forchheimer (D.F.) drainage theory in two dimensions. A soil having these infinitesimally thin slots is designated a D.F. soil. For this fictitious soil, a formula for the proper depth and spacing of ditches and drain tiles is derived. The formula is the same one found in conventional D.F. literature. The formula, valid for both tiles and ditches and known to hold approximately for actual soils, is exact for a D.F. soil. Dupuit's two-dimensional ‘parabolic seepage problem’ and others may now be considered as exactly solvable for D.F. soils. For three-dimensional axially symmetric seepage flow, as into wells, the fictitious slots of a DF. soil become concentric coaxial rings. DF. streamlines are not horizontal; they converge in a special way. (Key words: Drainage; groundwater; seepage; hydraulics)
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Report Irrigation Research Institute Library - Punjab Irrigation Department

530 EXP 1967 (Browse shelf) Available PID-IRI-0000013807

Introduction

Definition of a D.F Soil

Two false flow models

Cutting into a porous medium of a large number of vertical, parallel, infinitely permeable, equally spaced, infinitesimally thin slots produces a fictitious soil that follows, exactly and without paradoxes Dupuit's assumptions and hence Dupuit-Forchheimer (D.F.) drainage theory in two dimensions. A soil having these infinitesimally thin slots is designated a D.F. soil. For this fictitious soil, a formula for the proper depth and spacing of ditches and drain tiles is derived. The formula is the same one found in conventional D.F. literature. The formula, valid for both tiles and ditches and known to hold approximately for actual soils, is exact for a D.F. soil. Dupuit's two-dimensional ‘parabolic seepage problem’ and others may now be considered as exactly solvable for D.F. soils. For three-dimensional axially symmetric seepage flow, as into wells, the fictitious slots of a DF. soil become concentric coaxial rings. DF. streamlines are not horizontal; they converge in a special way. (Key words: Drainage; groundwater; seepage; hydraulics)

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