Soil Water DynamicsOxford University Press, 2003 M02 13 - 416 pages This book presents a rigorous mathematical development of soil water and contaminant flow in variably saturated and saturated soils. Analytical and numerical methods are balanced: computer programs, among them MathCad and Fortran, are presented, and more than 150 practice and discussion questions are included. Students are thus exposed not only to theory but also to an array of solutions techniques. Those using the book as a reference will appreciate the careful development of basic flow equations, the inclusion of solutions and methodology currently available only in journals and proceedings volumes, and the examples and calculations directly applicable to their own work. |
From inside the book
Results 1-5 of 84
Page xiv
... versus nonlinear differential equations , 83 Classification of linear , second - order partial differential equations , 84 " Best - fitting " retention and conductivity , 84 Velocity components and Laplace's equation , 85 2.10 Problems ...
... versus nonlinear differential equations , 83 Classification of linear , second - order partial differential equations , 84 " Best - fitting " retention and conductivity , 84 Velocity components and Laplace's equation , 85 2.10 Problems ...
Page xxiii
... ( V , Vo ) Relaxation factor Third function of Philip's infiltration series Vector gradient ABBREVIATIONS CDE CLT Convective - dispension equation Convective log transfer CV Coefficient of variation RDF Root density function REV ...
... ( V , Vo ) Relaxation factor Third function of Philip's infiltration series Vector gradient ABBREVIATIONS CDE CLT Convective - dispension equation Convective log transfer CV Coefficient of variation RDF Root density function REV ...
Page 13
... versus absolute pressures 1 . Gage pressure is relative to the local atmosphere and can be negative . Gage pressure = Absolute pressure — Local atmospheric pres- sure . 2. Absolute pressure is zero for a perfect vacuum . For measurement ...
... versus absolute pressures 1 . Gage pressure is relative to the local atmosphere and can be negative . Gage pressure = Absolute pressure — Local atmospheric pres- sure . 2. Absolute pressure is zero for a perfect vacuum . For measurement ...
Page 14
... versus reff . The maximum corresponds to a saturated value θS , and the value decreases as reff becomes smaller . The relationship of hm = h = —zc versus is implied whenever reff is known as a function of θ. The relationship of h versus ...
... versus reff . The maximum corresponds to a saturated value θS , and the value decreases as reff becomes smaller . The relationship of hm = h = —zc versus is implied whenever reff is known as a function of θ. The relationship of h versus ...
Page 16
... versus θ ) . We first consider the capillaries at the top in figure 1-12 , each at equilibrium . If the water level is lowered ( while the base of each capillary remains submerged ) , then the first three will tend to empty , perhaps ...
... versus θ ) . We first consider the capillaries at the top in figure 1-12 , each at equilibrium . If the water level is lowered ( while the base of each capillary remains submerged ) , then the first three will tend to empty , perhaps ...
Contents
3 | |
Soil Water Flow | 54 |
Saturated Flow | 91 |
OneDimensional Absorption | 135 |
OneDimensional Infiltration and Vertical Flow | 167 |
Multidimensional Water Flow in Variably Saturated Soils | 230 |
Solute and Contaminant Transport | 298 |
References | 369 |
Index | 383 |
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Common terms and phrases
absorption Additional Topics approximately assumed boundary conditions calculated capillary chapter clay loam coefficient considered constant corresponding curve Darcy's law defined density depth diffusion dimensionless dimensions distribution drainage evaluated example finite difference flow rate fluid flux concentration Genuchten given gradient hydraulic conductivity hydraulic head infiltration infiltrometer initial condition input integral Kdry Kwet Laplace's equation line source linear liquid loam mass matric potential nodes non-wetting Odry one-dimensional Owet parameters phase Philip plotted point source pore volumes porosity porous pressure head problem pulse relationship Richards sample sand saturated Soil Sci soil surface soil water solution sorptivity steady steady-state stream function stream tube three-dimensional tion travel-time Tuller two-dimensional unsaturated vadose zone values variable versus Warrick water content Water Resour water table wetting front zero ән дх ᎧᎾ
Popular passages
Page 298 - In the every-day affairs of life it is more useful to reason forward, and so the other comes to be neglected. There are fifty who can reason synthetically for one who can reason analytically.
Page 135 - When you follow two separate chains of thought, Watson, you will find some point of intersection which should approximate to the truth.
Page 230 - You have formed a theory, then?" "At least I have got a grip of the essential facts of the case. I shall enumerate them to you, for nothing clears up a case so much as stating it to another person, and I can hardly expect your cooperation if I do not show you the position from which we start.
Page 239 - Jl(ud) (3-42) where J0 and Y0 are Bessel functions of the first and second kind of order 0.
Page xi - Reprinted by permission of Pearson Education, Inc., Upper Saddle River, NJ...
Page x - Solution to the one-dimensional linear moisture flow equation with water extraction.
Page x - Solute travel-time estimates for tile-drained fields, I. Theory, Soil Sci. Soc. Am. Proc., 39, 1020-1024, 1975a.
Page 7 - Or is the residual water content. The residual water content is somewhat arbitrarily defined as the water content at which the corresponding hydraulic conductivity is appreciably zero, but very often it is used as an empirical constant when fitting hydraulic functions. Equation (1-8) is often used with 9r = 0.
Page 56 - ReJ^^- (2-1.) where d is an effective pore diameter. The critical Reynolds number is much lower for porous media than for straight tubes, such as those assumed for flow in pipes. Wide ranges have been observed, but generally, for Re < 1, laminar conditions are expected (Scheidegger, 1957; Hillel, 1980).
Page 91 - ... arts, the Science of Deduction and Analysis is one which can only be acquired by long and patient study, nor is life long enough to allow any mortal to attain the highest possible perfection in it. Before turning to those moral and mental aspects of the matter which present the greatest difficulties, let the inquirer begin by mastering more elementary problems. Sherlock Holmes, A Study in Scarlet Sir Arthur Conan Doyle...