| Автор | Singh, Rameshwar |
| Дата выпуска | 1970 |
| dc.description | Leakage of moisture from underground buried sources can occur in nature because of cracking or deterioration of confining surfaces. Leaking moisture can be radioactive or contaminated and may endanger public health. In disposal of such substances underground, consideration must be given to the extent of dispersal of moisture from wet containers in case of accidents. The movement of moisture from a spherical buried source into partially saturated surroundings is described by a nonlinear partial differential equation. Complexity of the equation prevents obtaining an explicit solution of the problem; however, an approximate solution has been extracted by the method of weighted residuals. The technique calls for representing the solution with a polynomial in space variable that has its coefficients as unknown functions of time, to be determined from the conditions and by satisfying the equation over the range of space variable in an averaging sense. This procedure accepts any kind of diffusivity function including numerical values obtained from experiments. The method is simple in its application and produces results that compare well with the known solution. |
| Формат | application.pdf |
| Копирайт | Copyright 1970 by the American Geophysical Union. |
| Название | Flow from a Spherical Source with Water Content Dependent Diffusivity |
| Тип | article |
| DOI | 10.1029/WR006i004p01140 |
| Electronic ISSN | 1944-7973 |
| Print ISSN | 0043-1397 |
| Журнал | Water Resources Research |
| Том | 6 |
| Первая страница | 1140 |
| Последняя страница | 1147 |
| Выпуск | 4 |
| Библиографическая ссылка | Ames, William F., Non‐Linear Partial Differential Equation in Engineering, 243–262, Academic Press, New York, 1965. |
| Библиографическая ссылка | Gardner, W. R., M. S.Mayhugh, Solution and tests of the diffusion equation for the movement of wastes in soil, Soil Sci. Soc. Amer. Proc., 22, 197–201, 1958. |
| Библиографическая ссылка | Hildebrand, F. B., An Advanced Calculus for Applications, 359–362, Prentice‐Hall, New York, 1964. |
| Библиографическая ссылка | Kuo, Shah S., Numerical Methods, 107–123, Addison‐Wesley, Reading, Massachusetts, 1965. |
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| Библиографическая ссылка | Philip, J. R., Absorption and infiltration in two‐ and three‐dimensional systems, Symposium on Water in the Unsaturated Zone, 19–25, WageningenJune, 1966. |
| Библиографическая ссылка | Singh, R., Solution of a diffusion equation,J. Hydraul. Div., Amer. Soc. Civil Eng., Proc Pap. 5422,93(HY5),43–50,September1967. |
| Библиографическая ссылка | Wang, Flora Chu, An approach to the solution of unsteady unsaturated flow problems in soilsDep. Civil Eng. Tech. Rep. 19, 134Stanford University, Stanford, CaliforniaMarch, 1963. |
