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Within the concepts about the capillarity and the lognormal distribution of effective pore radii, a theoretical justification for function of differential water capacity and its antiderivative (function of water-retention capacity in form of a dependence of the soil volumetric water content on capillary pressure of the soil moisture) is presented. Using these functions, the ratio of soil hydraulic conductivity function to the filter coefficient is calculated. Approximations to functions describing the water-retention capacity and relative hydraulic conductivity of the soil have been suggested. Parameters of these functions have been interpreted and estimated with applying the physical and statistical indices of the soil.

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Abstract. All structures are built of, or through, or supported by earth materials including soil. Thus soil surveys in civil-engineering field are an important step in the construction. A lot of things depend on their results, especially the cost of construction, durability. The hydraulic conductivity needs one of the most laborious, and expensive surveys, thereby it is necessary to reduce these disadvantages. Were considered different methods (a laboratory, field and a mathematical model), and conclusions were drawn about economic feasibility of using the least laborious method. This method can be used under the various constructions, when engineering or reclamation surveys take place.