Infiltration into Two-Layered Soil: The Green–Ampt and Averyanov Models Revisited

Al‐Maktoumi, Ali; Kacimov, A. R.; Al-Ismaily, Said; Al‐Busaidi, Hamed; Al-Saqri, Said

doi:10.1007/s11242-015-0507-8

Cited by 27 publications

(13 citation statements)

References 36 publications

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“…Generally, for layered porous media, the interfaces cannot be ignored and it brings certain effects on the imbibition process, such as additional flow resistance shown in Section 3.2. Also, the configuration shown in Section 3.3 can be adopted to simulate the groundwater flow and the resultant effective stress states for certain slopes where the interfaces between layered soils may be non-parallel to the underwater level (Al-Maktoumi, et al, 2015, Zhuang, et al, 2017. In fact, the interface issue often occurs in various types of porous media.…”

Section: Discussionmentioning

confidence: 99%

Modelling Imbibition Processes in Heterogeneous Porous Media

2018

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Imbibition is a commonly encountered multiphase problem in various fields, and exact prediction of imbibition processes is a key issue for better understanding capillary flow in heterogeneous porous media. In this work, a numerical framework for describing imbibition processes in porous media with material heterogeneity is proposed to track the moving wetting front with the help of a partially saturated region at the front vicinity. A new interface treatment, named the interface integral method, is developed here, combined with which the proposed numerical model provides a complete framework for imbibition problems. After validation of the current model with existing experimental results of one-dimensional imbibition, simulations on a series of two-dimensional cases are analysed with the presences of multiple porous phases. The simulations presented here not only demonstrate the suitability of the numerical framework on complex domains but also present its feasibility and potential for further engineering applications involving imbibition in heterogeneous media.

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Section: Discussionmentioning

confidence: 99%

Modelling Imbibition Processes in Heterogeneous Porous Media

2018

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“…KPK-59, or pore-scale models in Al-Maktoumi et al, 2015, Kacimov andKayumov, 2002). For p(w) the Van-Genuchten, Averyanov, Brooks-Corey or other empiric functions can be used.…”

Section: Kpk-59 Mathematical Model Of Swdmentioning

confidence: 99%

Moisture and temperature in a proppant-enveloped silt block of a recharge dam reservoir: Laboratory experiment and 1-D mathematical modelling

Kacimov

Al‐Maktoumi

Al-Ismaily

et al. 2018

Jour. Agri. & Mar. Scie.

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Mosaic 3-D cascade of parallelepiped-shaped silt blocks, which sandwich sand- lled cracks, has been discovered in the eld and tested in lab experiments. Controlled wetting-drying of these blocks, collected from a dam reservoir, mimics field ponding-desiccation conditions of the topsoil layer subject to caustic solar radiation, high temperature and wind, typical in the Batinah region of Oman. In 1-D analytical modelling of a transient Richards’ equation for vertical evaporation, the method of small perturbations is applied, assuming that the relative permeability is Avery-anov’s 3.5-power function of the moisture content and capillary pressure is a given (measured) function. A linearized advective dispersion equation is solved with respect to the second term in the series expansion of the moisture content as a function of spatial coordinates and time. For a single block of a nite thickness we solve a boundary value problem with a no- ow condition at the bottom and a constant moisture content at the surface. Preliminary comparisons with theta-, TDR- probes measuring the moisture content and temperature at several in-block points are made. Results corroborate that a 3-D heterogeneity of soil physical properties, in particular, horizontal and vertical capillary barriers emerging on the interfaces between silt and sand generate eco-niches with stored soil water compartments favourable for lush vegetation in desert conditions. Desiccation significantly increases the temperature in the blocks and re-wetting of the blocks reduces the daily average and peak temperatures, the latter by almost 15°C. This is important for planning irrigation in smartly designed soil substrates and sustainability of wild plants in the region where the top soil peak temperature in the study area exceeds 70°C in Summer but smartly structured soils maintain lash vegetation. Thee layer of dry top-blocks acts as a thermal insulator for the subjacent layers of wet blocks that may host the root zone of woody species.

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“…An integral degree of saturation is defined as

\overset{w}{true} = \frac{2}{π (r_{i}^{2} - r_{0}^{2})} \int_{0}^{π} true \int_{r_{0}}^{r_{i}} S_{e} (r, ϕ) r d r d ϕ,

where for the degree of saturation,

S_{e}^{}

, we selected the Averyanov equation for unsaturated conductivity

K = K (0) S_{e}^{3.5}

[see, e.g., Al‐Maktoumi et al ., ] or, in terms of the Kirchhoff potential, the expression

S_{e} = {false(\exp false[α c_{0} false] ω false)}^{1 / 3.5}

. The term α c 0 is constant and the only essential term in equation is

I_{2} (R_{0}, R_{i}) = \frac{2}{π (R_{i}^{2} - R_{0}^{2})} \int_{0}^{π} true \int_{R_{0}}^{R_{i}} ω {false[R_{0}, R, ϕ false]}^{1 / 3.5} R d R d ϕ .

…”

Section: Unsaturated Flow In Ambient Soilmentioning

confidence: 99%

Analytical solution for tension‐saturated and unsaturated flow from wicking porous pipes in subsurface irrigation: The Kornev‐Philip legacies revisited

Kacimov

2017

Water Resources Research

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The Russian engineer Kornev in his 1935 book raised perspectives of subsurface “negative pressure” irrigation, which have been overlooked in modern soil science. Kornev's autoirrigation utilizes wicking of a vacuumed water from a porous pipe into a dry adjacent soil. We link Kornev's technology with a slightly modified Philip (1984)'s analytical solutions for unsaturated flow from a 2‐D cylindrical pipe in an infinite domain. Two Darcian flows are considered and connected through continuity of pressure along the pipe‐soil contact. The first fragment is a thin porous pipe wall in which water seeps at tension saturation; the hydraulic head is a harmonic function varying purely radially across the wall. The Thiem solution in this fragment gives the boundary condition for azimuthally varying suction pressure in the second fragment, ambient soil, making the exterior of the pipe. The constant head, rather than Philip's isobaricity boundary condition, along the external wall slightly modifies Philip's formulae for the Kirchhoff potential and pressure head in the soil fragment. Flow characteristics (magnitudes of the Darcian velocity, total flow rate, and flow net) are explicitly expressed through series of Macdonald's functions. For a given pipe's external diameter, wall thickness, position of the pipe above a free water datum in the supply tank, saturated conductivities of the wall and soil, and soil's sorptive number, a nonlinear equation with respect to the total discharge from the pipe is obtained and solved by a computer algebra routine. Efficiency of irrigation is evaluated by computation of the moisture content within selected zones surrounding the porous pipe.

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Infiltration into Two-Layered Soil: The Green–Ampt and Averyanov Models Revisited

Cited by 27 publications

References 36 publications

Modelling Imbibition Processes in Heterogeneous Porous Media

Modelling Imbibition Processes in Heterogeneous Porous Media

Moisture and temperature in a proppant-enveloped silt block of a recharge dam reservoir: Laboratory experiment and 1-D mathematical modelling

Analytical solution for tension‐saturated and unsaturated flow from wicking porous pipes in subsurface irrigation: The Kornev‐Philip legacies revisited

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