A mathematical primer on groundwater flow : an introduction to the mathematical and physical concepts of saturated flow in the subsurface / John F. Hermance

Author:: Hermance, John F., 1939-
Published:: Upper Saddle River, N.J. : Prentice Hall, [1999]
Copyright Date:: ©1999
Physical Description:: x, 230 pages : illustrations ; 28 cm

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Contents:

HYDROLOGIC NATURE OF THE SUBSURFACE: The subsurface environment -- Saturated and unsaturated conditions in the subsurface -- DARCY'S LAW AND THREE DIMENSIONAL FLOW: Detailed considerations of Darcy's law -- Pressure, elevation head, hydraulic head, pressure head, total mechanical energy, and fluid potential -- Inhomogeneous versus anisotropic media -- Dimensionality of practical hydrogeological situations: simplifying a complex world to lower dimensions -- TAYLOR'S SERIES, DIRECTIONAL DERIVATIVES AND HYDRAULIC GRADIENTS: Taylor's series for hydraulic head -- Taylor's series in three dimensions -- Directional derivatives, direction cosines, principal directions and gradients -- CONSERVATION OF FLUID FLOW: APPLICATION TO ONE DIMENSION: A continuity condition on Darcy flow -- Application to 1-D flow in a confined aquifer -- FUNDAMENTAL RELATIONS FOR GROUNDWATER FLOW IN THREE DIMENSIONS: Synopsis of basic forms -- Divergence of flux -- Circulation and curl of a flow field -- The fundamental equation of groundwater flow --, TWO DIMENSIONAL STEADY-STATE FLOW: Flow functions and flow nets -- REFRACTION OF FLUX: Conditions on flow across a discontinuity in material properties -- Refraction of flow across a discontinuity -- STEADY STATE FLOW IN UNCONFINED AQUIFERS: Fundamental aspects of unconfined flow -- Dupuit flow in unconfined aquifers -- Horizontal unconfined flow: divergence of flux for the 1-D case -- Application to 1-D steady-state flow in an unconfined aquifer -- NATURAL STEADY STATE RECHARGE AND DISCHARGE SYSTEMS IN THE VERTICAL PLANE: General statement of the problem -- A specific solution -- STEADY STATE FLOW TO A WELL: Transition from transient to steady-state flow at a discharging well -- Steady-state flow to a well discharging from a confined aquifer -- Steady-state flow to a well discharging from an unconfined aquifer -- INTRODUCTION TO TRANSIENT FLOW: Fundamental relations -- Elastic behavior of the subsurface -- Compressibility of a fluid saturated porous medium -- Confined aquifer: mechanisms of water release -- Confined aquifers: the transient flow equation -- Unconfined aquifers: mechanisms of water release -- Unconfined aquifers: the transient flow equation --, and TRANSIENT 1-D FLOW IN A CONFINED LAYER: PERIODIC AND APERIODIC SOLUTIONS: Concept of elementary solutions of the transient flow equation -- Periodic transient flow in a confined aquifer -- Aperiodic transient flow in a confined aquifer -- TRANSIENT 1-D FLOW: SUPERPOSITION OF ELEMENTARY RESPONSE FUNCTIONS: Composites of periodic transients -- Composites of aperiodic transients -- Aperiodic Transients: Superposition of Composite Sources -- TRANSIENT WELL DISCHARGE FROM A CONFINED AQUIFER: Two dimensional flow to a well -- Solution to the radial flow equation -- Transient response to continuous discharge -- SELECTED TOPICS IN TRANSIENT FLOW: Review of transient flow relations in three dimensions -- Two dimensional transient discharge potentials for confined and unconfined flow -- Transient flow relations for the discharge potentials.

Subject(s):

Groundwater flow—Mathematical models

ISBN:

0138964998 (pbk.)

Bibliography Note:

Includes bibliographical references (pages 224-225) and index.

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