Graduate Thesis Or Dissertation
 

Hydraulic functions of soils from physical experiments and their applications

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  • Based upon the Pearson Type VIII distribution function, a general retention function which relates the saturation to the capillary pressure in disturbed soils has been discovered. This simple and yet complete function has been shown to describe precisely the imbibition as well as the drainage branch of the retention curve. It is defined by four readily assessed parameters that either have physical significance themselves or may be used to determine some hydraulic properties of the soil. With the assumption that the Burdine integrals are adequate, a relative permeability function has been derived through the substitution of the retention function for the integrands in the Burdine integrals. The permeability function is expressed in terms of the incomplete Beta function ratio whose value may be conveniently found in some mathematical tables. Further, a general pore-size distribution function of soils has been obtained from the retention function. The derivation of the pore-size distribution function enables more rigorous examination and further exploration of the theories concerning water movement in partially saturated soils. In this respect, an explanation of the phenomenon of air entrapment during imbibition has been offered through an energy concept based upon the pore-size distribution function along with the retention function. Two criteria of affinity have been established for porous media. Media are said to be affine if their corresponding pore-size distribution parameters are identical. The scaling factor for the external dimension of the model has been chosen to be the capillary pressure head at the inflection. point of the retnetion curve, whose value is always finite. The effect of the pore-size distribution parameters upon the retention, permeability and diffusivity curves has been analyzed. The analysis shows the parameter governing the downward concavity of the retention curve is as important as that governing the upward concavity when it comes to computing the permeability values from the retention data. A new and simple apparatus and procedure for obtaining the retention data of soil water in the laboratory have been developed. The technique can expedite the acquisition of the data for either the drainage or the imbibition branch of the retention curve.
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file details SuChong-Guang_Charles_1976.pdf 2017-10-25 公开 下载