Seepage to ditches and topographic depressions in saturated and unsaturated soils

Kacimov, A. R.; Šimůnek, Jiřı́

doi:10.1016/j.advwatres.2020.103732

Cited by 9 publications

(1 citation statement)

References 92 publications

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“…In Oman and other Gulf coutnries, where the aridity index, defined by Maliva and Missimer [39], is bigger than 20, shallow unconfined aquifers often evaporate from their phreatic surfaces to the VZ (see e.g., [40]), rather than gain water from there (like in Germany). Therefore, ε is positive, that is, the Poisson equaiton has a sink term in the RHS.…”

Section: 33)mentioning

confidence: 99%

The Saint‐Venant type isoperimetric inequalities for assessing saturated water storage in lacunary shallow perched aquifers

Avkhadiev

Kacimov

2022

Z Angew Math Mech

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The Dupuit-Forchheimer (DF) approximation for unconfined groundwater flows is reduced to 2D Poisson's equation (PE), the right hand side of which involves an intensive evapotranspiration (ET) rate. A shallow water table dips inward from a constant piezometric head boundary (closed curve) such that a "dry gap," demarcated by another closed curve (unknown front), may emerge. Apriori estimates of the volume of the saturated zone and of the "dry gap" area are important for water resources management in drylands. We use the results from the theory of linear elasticity, torsion of elastic bars, for which PE is solved for the Prandtl function. Using the Poincaré metrics with the Gaussian constant curvature 𝑐 = −4, isoperimetric inequalities are obtained for steady-state DF flows. Conformal moments and confromal radii of the domains and 2-D Hardy's type inequalities in domains, modeling the Saint Venant bar torsion problem, are involved in the obtained estimates. The studied boundary value problems (BVPs) are nonlinear for ET rates depending on the depth of the water table.In the DF model, the vadose zone (VZ) is considered as a "distributed sink" (similar to a standard "distributed source," which models recharge to the water table in humid climates). The analytical VZ is collated with one obtained from a numerical solution to BVP for Richards' equation in a 3-D saturated-unsaturated flow. BVPs for Richards' equation in cylindrical domains, solved by HYDRUS software, give the pressure head, moisture content, Darcian velocity fields, and streamlines.

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Section: 33)mentioning

confidence: 99%

The Saint‐Venant type isoperimetric inequalities for assessing saturated water storage in lacunary shallow perched aquifers

Avkhadiev

Kacimov

2022

Z Angew Math Mech

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Bailout test, HYDRUS‐2D, and analytical modeling for estimating permeability of ephemeral stream bed

Al‐Yaqoubi,

Al‐Maktoumi,

Kacimov

et al. 2024

Vadose Zone Journal

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Accurate estimation of effective saturated hydraulic conductivity (Ksat) of a vadose zone with an underlying shallow perched aquifer is challenging. Standard pumping tests and double‐ring infiltrometers are unsuitable for this purpose. Therefore, a bailout test (BOT) was conducted in nine soil pits to evaluate the hydraulic properties of the vadose zone and the subjacent shallow‐perched aquifer in a porous bed of a wadi in Oman. The analytical (Kirkham's type) and numerical (HYDRUS‐2D) models were also used. Upon instantaneous emptying, the water level rises in a pit, owing to seepage from the ambient shallow aquifer. The draw up was monitored and compared with modeling, which assumes a homogeneous or layered van Genuchten's soil. The soils of the excavated pits were characterized as sandy‐textured, gleyed, and containing calcareous and clay‐enriched layers. A good match between HYDRUS‐analytical results for layered soils and an idealized homogeneous one illustrates that BOT is a robust and quick technique for the estimating Ksat = 2–3 cm/h in the coarse‐textured wadi bed vadose zone overlaying a transient water table. BOT is better than classical auger hole tests because they test a larger soil volume through induced seepage. BOT is also more suitable for drainage trenches and other excavations, allowing for easier observation, soil sampling from the banks, and rapid dewatering.

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Water table rise in arid urban area soils due to evaporation impedance and its mitigation by intelligently designed capillary chimney siphons

et al. 2021

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Seepage to ditches and topographic depressions in saturated and unsaturated soils

Cited by 9 publications

References 92 publications

The Saint‐Venant type isoperimetric inequalities for assessing saturated water storage in lacunary shallow perched aquifers

The Saint‐Venant type isoperimetric inequalities for assessing saturated water storage in lacunary shallow perched aquifers

Bailout test, HYDRUS‐2D, and analytical modeling for estimating permeability of ephemeral stream bed

Water table rise in arid urban area soils due to evaporation impedance and its mitigation by intelligently designed capillary chimney siphons

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