Application of an improved P(m)-SOR iteration method for flow in partially saturated soils

Zhu, Shuairun; Wu, Lizhou; Huang, Jingsong

doi:10.1007/s10596-021-10114-6

Cited by 29 publications

(9 citation statements)

References 52 publications

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“…Since the granite residual soil slope is an integral structure, the seepage of rainwater on the slope is continuous. Ten, according to the principle of energy conservation, the water fow continuity equation of rainwater on the granite residual soil slope can be expressed as follows [15][16][17]:…”

Section: Teoretical Derivation Of the Water Flow Continuitymentioning

confidence: 99%

Study on the Seepage Mechanism of Rainwater on Granite Residual Soil Cut Slopes

Guo

Zhang

et al. 2023

Advances in Civil Engineering

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In order to study the seepage process of rainwater on granite residual soil cut slopes, a numerical model for seepage analysis of granite residual soil cut slopes was established. Then, by applying the rainfall boundary condition, the seepage path of rainwater on the slope was analyzed under the condition of rainfall infiltration. Finally, during rainwater seepage, the volumetric water content and pore-water pressure change characteristics inside the slope were analyzed, and the seepage mechanism of rainwater in the granite residual soil slope was revealed. The results show that, under the condition of rainfall infiltration, the surface area of the slope gradually forms a saturated area in a temporary stable state. As the saturated area in the temporary stable state gradually extends to the inside of the slope, the area gradually increases and a groundwater level recharge area is gradually formed at the foot of the slope. Rainwater infiltration changes the original stable state of the slope, causing the granite residual soil slope to change from the two original distribution states of the unsaturated area and saturated area to the three distribution states of the temporarily stable saturated area, unsaturated area, and saturated area from top to bottom. The volumetric moisture content of slope-monitoring points increased gradually with an increase in the duration, and the overall distribution showed an “S” shape. The infiltration of rainwater causes the pore-water pressure of the granite residual soil to increase gradually, and matric suction gradually disappears. In particular, the disappearance of the matric suction at the foot of the slope will lead to the gradual weakening of the shear strength of the slope soil, thus affecting the slope stability.

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Section: Teoretical Derivation Of the Water Flow Continuitymentioning

confidence: 99%

Study on the Seepage Mechanism of Rainwater on Granite Residual Soil Cut Slopes

Guo

Zhang

et al. 2023

Advances in Civil Engineering

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“…In comparison with (Freni et al, 2009), in which the Green‐Ampt model is used, our approach makes use of the even simpler Darcy's law: where in (Freni et al, 2009) the effective infiltration area is assumed to be “the horizontal area below the structure bottom where the infiltration paths start to be linear and vertical parallel”, here, from observation evidence, a significant role is played by lateral infiltration, both amongst adjacent basins and through lateral external walls of basins system. On the other hand, unlike urban infiltration trenches, designed for handling stormwater runoff, such infiltration basins generally work in saturation conditions, therefore the Darcy approach is even more so justified; furthermore, for such management practices, addressing the solution of Richards equation, with the well‐known numerical difficulties (see, for instance, Abreu et al, 2019; Berardi & Difonzo, 2022; Berardi et al, 2018; Pop et al, 2004; Zhu et al, 2022) is cumbersome: we point out that multidimensional unsaturated flow models are “rarely applied in the design of stormwater infiltration systems because of their data and expertise requirements and complexity” (Browne et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Network dynamics for modelling artificial groundwater recharge by a cluster of infiltration basins

Lena

Berardi

Masciale

et al. 2023

Hydrological Processes

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In this paper we propose a simple approach for modelling the functioning of a cluster of interconnected infiltration basins: such a modelling is crucial for correctly managing artificial aquifer recharge. We model and dynamically quantify the flow from the bottom of each basin, towards the outer walls of the cluster, and between adjacent basins: as a result of this modelling, saturated hydraulic conductivity parameters are estimated. This goal is accomplished simply by using mass balance arguments and Darcy's law, considering only water levels data and the total water inflow daily bestowed to the trenches; by using a declipping technique, automated recorded data are suitably filtered; then, from these data, an efficient algorithm is implemented for determining which basin is instantaneously fed. This approach can be used for managing the efficiency and performance of such facilities over time, and it can be easily generalized. The model is tested over a real‐life site in Castellana Grotte (Southeastern Italy), where an infiltration basins cluster is used as final receptor of the effluents from a tertiary treatment wastewater plant. Novelty and International Appeal Statement We propose a simple approach for modelling the functioning of a cluster of interconnected infiltration basins. By a dynamical systems approach, we model the flow from the bottom of each basin, towards outer walls of the cluster, and between adjacent basins: as a result, saturated hydraulic conductivity parameters are estimated.

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“…Numerical analysis of unsaturated flow behavior in porous media is fundamental in geotechnical engineering problems involving precipitation-induced landslides [1][2][3], dam failure of a tailing [4,5], seepage control in concrete construction [6][7][8] and CO 2 sequestration [9].…”

Section: Introductionmentioning

confidence: 99%

A Dimension-Reduced Line-Element Method to Model Unsaturated Seepage Flow in Porous Media

Li,

Zhang,

et al. 2023

Water

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Contrary to the continuum hypothesis, which averages water flow across the entire domain, including both grains and pores, the line-element model concentrates unsaturated flow in the pore space in the intermediate region of horizontal and vertical channels. The flux equivalent principle is used to deduce the equivalent unsaturated hydraulic conductivity, the flow velocity and the continuity equations. It is found that the relative hydraulic conductivities derived from the line-element model and the continuum model are identical. The continuity equations in the two models are also similar, except that the coefficient in the water content term is half that in the line-element model. Thus, the unsaturated flow problem in porous media is transformed into a one-dimensional problem. A dimension-reduced finite line-element method is proposed that includes a complementary algorithm for Signorini’s-type boundary conditions involving the seepage-face boundary and the infiltration boundary. The validity of the proposed model is then proved by good agreement with analytical, experimental and simulated results for one-dimensional infiltration in a vertical soil column, unsaturated flow in a sand flume with drainage tunnels, and transient unsaturated flow water-table recharge in a soil slab, respectively. In general, the proposed method has good computational efficiency, especially for smaller mesh sizes and short time intervals.

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Application of an improved P(m)-SOR iteration method for flow in partially saturated soils

Cited by 29 publications

References 52 publications

Study on the Seepage Mechanism of Rainwater on Granite Residual Soil Cut Slopes

Study on the Seepage Mechanism of Rainwater on Granite Residual Soil Cut Slopes

Network dynamics for modelling artificial groundwater recharge by a cluster of infiltration basins

A Dimension-Reduced Line-Element Method to Model Unsaturated Seepage Flow in Porous Media

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