Method of experimental determining the parameters of impregnating a liquid into the soil


Volodymyr Oliinik

National University of Civil Defenсe of Ukraine


Oleksii Basmanov

National University of Civil Defenсe of Ukraine


Yuliia Mykhailovska

National University of Civil Defenсe of Ukraine




Keywords: liquid spillage, impregnation parameters, Green-Ampt model, porosity coefficient, bulk material



The object of the study is the process of liquid impregnation into bulk material. It was built a mathematical model that determines the parameters of impregnation of liquid into the soil: porosity coefficient, hydraulic conductivity coefficient and suction head. It is assumed that the process of liquid infiltration into the soil is described by the Green-Ampt model. The feature of the model is a boundary between wet and dry soil. The main idea of the method is to choose the impregnation parameters in such a way that the calculated value of the impregnation depth differs as little as possible from the experimentally obtained values. The methodology for estimating the parameters of the model of impregnating the liquid into the soil is given. First, the process of liquid impregnation into a soil sample in a glass measuring cylinder is videotaped. Then the depth of liquid penetration is measured at certain moments of time. The estimate of the porosity coefficient is obtained directly from the experimental data. It was built a minimization problem for estimating the values of the coefficient of hydraulic conductivity and the suction head. The minimum of the sum of the squares of deviations between experimentally determined impregnation depths and the calculated ones was used as a criterion for determining parameter values. The minimization problem is solved by using the gradient descent method. The values of the partial derivatives are approximated by their expressions in finite differences. As an example of the use of proposed method, the parameters of the impregnation of crude oil into sand were evaluated. Comparing the calculated impregnation depth and the experimentally determined one indicates a good coincidence of the results. The proposed method of determining the infiltration parameters can be used in the practical application of the liquid spreading and infiltrating model.



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