リチャーズ式
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2017/09/21 14:49 UTC 版)
リチャーズ式(英: Richards' equation)とは、不飽和土壌中の水の動きを表す式であり、1931年にロレンツォ・リチャーズが導いた[1]。非線形偏微分方程式であり、閉形式の解析解が必ずしも存在しない。
- ^ Richards, L.A. (1931). “Capillary conduction of liquids through porous mediums”. Physics 1 (5): 318–333. Bibcode 1931Physi...1..318R. doi:10.1063/1.1745010.
- ^ Celia (1990). “A general Mass-Conservative Numerical Solution for the Unsaturated Flow Equation”. Water Resources Research 26 (7): 1483–1496. Bibcode 1990WRR....26.1483C. doi:10.1029/WR026i007p01483.
- ^ van Genuchten, M. Th. (1980). “A Closed-Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils”. Soil Science Society of America Journal 44 (5): 892–898. doi:10.2136/sssaj1980.03615995004400050002x .
- ^ Short, D., W.R. Dawes, and I. White, 1995. The practicability of using Richards' equation for general purpose soil-water dynamics models. Envir. Int'l. 21(5):723-730.
- ^ Tocci, M. D., C. T. Kelley, and C. T. Miller (1997), Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines, Adv. Wat. Resour., 20(1), 1–14.
- ^ Germann, P. (2010), Comment on “Theory for source-responsive and free-surface film modeling of unsaturated flow”, Vadose Zone J. 9(4), 1000-1101.
- ^ Gray, W. G., and S. Hassanizadeh (1991), Paradoxes and realities in unsaturated flow theory, Water Resour. Res., 27(8), 1847-1854.
- 1 リチャーズ式とは
- 2 リチャーズ式の概要
- 3 導出
- 4 形式
- 5 限界
- リチャーズ式のページへのリンク