Non-Darcian Flow of Water in Soils — Laminar Region: A Review

Publisher Summary This chapter discusses a non-Darcian flow of water in soil – laminar region. A hypothesis frequently used for the explanation of the non-Darcian flow in the laminar region is the theory on the altered viscosity of water in soil because of the influence of the soil solid surface is discussed. The theory on the quasi-crystalline arrangement of water molecules in the proximity of the solid surface is developed. A complex approach about the role of different factors in the deviations from the Darcy's equation is found, it is analyses by the various experiments concluding that non-Newtonian flow of soil water as one of the reasons for deviations from the Darcy's equation. It is revealed that water in capillaries has the properties of a Bingham body. Applying this theory to the porous media and soils, an equation is developed together with a detailed discussion on rheologic parameters. Even if the knowledge on the viscosity and on rheologic parameters of soil water is rather spare, it is useful to compare the empirical equations with equations developed for flow in porous media when the flowing liquid is expressed as a definite rheologic model. These rheologic equations are derived for a simple capillary model.

[1]  D. Swartzendruber.  Comments on paper by J. M. Davidson, J. W. Biggar, and D. R. Nielsen, ‘Gamma‐Radiation attenuation for measuring bulk density and transient water flow in porous materials’ , 1964 .

[2]  D. Swartzendruber.  Soil-Water Behavior as Described by Transport Coefficients and Functions , 1966 .

[3]  D. Swartzendruber,et al.  Flow‐Associated Reduction in the Hydraulic Conductivity of Quartz Sand , 1962 .

[4]  W. D. Kemper,et al.  Intrinsic Permeability of Clay as Affected by Clay-Water Interaction , 1959 .

[5]  S. L. Rawlins,et al.  A Test of the Validity of the Diffusion Equation for Unsaturated Flow of Soil Water 1 , 1963 .

[6]  H. W. Olsen.  Darcy's law in saturated kaolinite , 1966 .

[7]  L. Ping.  MEASURING EXTREMELY LOW FLOW VELOCITY OF WATER IN CLAYS , 1963 .

[8]  D. Swartzendruber.  Non‐Darcy flow behavior in liquid‐saturated porous media , 1962 .

[9]  Dale Swartzendruber,et al.  MODIFICATION OF DARCY'S LAW FOR THE FLOW OF WATER IN SOILS , 1962 .

[10]  D. Swartzendruber.  Non-Darcy Behavior and the Flow of Water in Unsaturated Soils1,3 , 1963 .

[11]  P. F. Low,et al.  Threshold Gradient for Water Flow in Clay Systems , 1963 .

[12]  R. Kraft,et al.  A Capillary Model for Non‐Darcy Flow through Porous Media , 1966 .

[13]  P. F. Low.  Physical Chemistry of Clay-Water Interaction , 1961 .

[14]  J. Thames.  Flow of water under transient conditions in unsaturated soils , 1966 .

[15]  D. Swartzendruber.  The Applicability of Darcy's Law1,3 , 1968 .

[16]  T. C. Olson,et al.  Velocity-Gradient Relationships for Steady-State Unsaturated Flow of Water in Nonswelling Artificial Soils1 , 1968 .

[17]  H. W. Olsen.  Deviations from Darcy's Law in Saturated Clays1 , 1965 .

[18]  D. R. Nielsen,et al.  Gamma‐radiation attenuation for measuring bulk density and transient water flow in porous materials , 1963 .