Analytical and HYDRUS2D models of seepage from buried trapezoidal ditches as subsurface capillarity-driven irrigating units

Kacimov, A.; Obnosov, Y.; Nikonenkova, T.; Smagin, A.

Авторы: Kacimov Anvar, Obnosov Yurii, Nikonenkova Tatyana, Smagin Andrey
Журнал: Modeling Earth Systems and Environment
Том: 11
Номер: 2
Год издания: 2025
Издательство: Springer Nature
Местоположение издательства: Switzerland
Первая страница: 1
Последняя страница: 11
Номер статьи: 136
DOI: 10.1007/s40808-025-02301-6
Аннотация: Two mathematical models, an analytical and numerical, describe 2D Darcian seepage of in subsurface irrigation from a ditch, with pore moisture sucked up and laterally from a non-standard “emitter”, which is engineered as a channel of a small depth with a lined (impervious bottom). For steady flow in a homogeneous, saturated, rigid, isotropic porous medium a boundary value problems to Laplace’s equation for characteristic functions of the piezometric head and stream function is solved by the method of hodograph, i.e. conformal mapping of two polygons in complex plains onto each other via a reference plane. For a transient saturated–unsaturated seepage from the ditch or a buried permeable pipe in this ditch, initial boundary value problems (IBVPs) to the Richards equation are numerically solved using HYDRUS2D package. Both models give the vector f ields of specific discharge (Darcian velocity) and scalar fields of pressure head, volumetric moisture content, isotachs, as well as flow nets. Applications of the models are to design and construction of urban and agricultural soils (“constructozems”), as porous composites, with the aim at optimizing the soil moisture consumption by the plants by minimizing evaporation and deep percolation. For this purpose a lens (or double-periodic cluster of lenses) made of peat or other relatively coarse material is buried under the ground surface. This lens(es) is surrounded by a fine-textured indigenous soil. The pore water motion to/ from the lens, acting intermittently as a draining entity (collecting pore water from the ambient soil) and a subsurface irrigator (emitting water to this soil), in such an engineered smartly-heterogenized vadose zone becomes essentially 2-D. Our models substantiate the field experiments by Kornev (Subsoil irrigation (absorption irrigation method), Selkhozgiz, Moscow, 1935) who backfilled ditches and generated capillarity-maintained “wet bulbs” in the root zone. We also complete Vedernikov’s (Dokl AN SSSR 28, 1940) analytical solution for steady 2-D seepage from a trapezoidal ditch having a zero-depth water level.
Добавил в систему: Смагин Андрей Валентинович

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Analytical and HYDRUS2D models of seepage from buried trapezoidal ditches as subsurface capillarity-driven irrigating unitsстатья

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