Density-driven flow and solute transport problems. A 2-D numerical model based on the network simulation method

Meca, Antonio Soto; López, Francisco Alhama; Fernández, Carlos González

doi:10.1016/j.cpc.2007.06.008

Cited by 10 publications

(5 citation statements)

References 17 publications

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“…Finally, numerical methods on which software are based can quantify these phenomena in isotropic and anisotropic soils. Among all the possible options, the tool that has been employed in this paper is the network method, which has already been applied in the study of different physical problems, such as flow in porous media [6], soil consolidation [7], and solute and heat transport [8,9]. The method employs the electrical analogy of the problem variables, so the hydraulic potential, h, is equivalent to the voltage, V, and the groundwater flow, Q, to the electric current or intensity, I.…”

Section: Introductionmentioning

confidence: 99%

Study of the Influence of Sheet Pile Location under Dams on Groundwater Flow and Pore Pressure with Network Method

Martínez‐Moreno¹,

García‐Ros²,

Alhama³

2021

World Congress on Civil, Structural, and Environmental Engineering

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The construction of a gravity dam leads to some verifications that may affect its safety, such as groundwater flow or pore pressure distribution under the structure. These phenomena, which are related to piping and the position of the uplift force, can be controlled by placing a sheet pile under the dam. The variables are commonly studied as if the soil was isotropic, simplifying universal results (either graphics or formulations). However, this assumption does not reflect real scenarios in most of the cases, for example anisotropic hydraulic conductivities. In this work, the effects of the sheet pile position in four different cases is studied: dam without a sheet pile and dam with a sheet pile located at the heel, centre and toe of the structure. In all of them two different media are modelled, with isotropic and anisotropic hydraulic conductivities, so its influence can be appraised from the point of view of safety. The scenarios are simulated with a tool based on the network method that, employing the electrical analogy, obtains the problem variables, 'hydraulic potential' (h) and 'water flow' (Q), solving electric quantities, 'voltage' (V) and 'electric current' (I), respectively.

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Section: Introductionmentioning

confidence: 99%

Study of the Influence of Sheet Pile Location under Dams on Groundwater Flow and Pore Pressure with Network Method

Martínez‐Moreno¹,

García‐Ros²,

Alhama³

2021

World Congress on Civil, Structural, and Environmental Engineering

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“…A third way to study these problems in isotropic and anisotropic soils is the use of software tools based on numerical methods. There are different options are available, and the one employed in this paper is the network method, which has already been applied in the study of different physical phenomena, such as flow in porous media [6], soil consolidation [7], and solute and heat transport [8,9]. This methodology employs the electrical analogy, according to which, in this problem, the hydraulic potential, h, is equivalent to the voltage, V, and the groundwater flow, Q, to the electric current, I.…”

Section: Introductionmentioning

confidence: 99%

Network Method As A Tool To Study The Influence Of The Position Of A Sheet Pile Under A Dam On Pore Pressure And Groundwater Flow

Martínez‐Moreno¹,

Alhama²,

García‐Ros³

2021

IJCI

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Before building gravity dams, some verifications must be carried out in order to check its safety, most of them related to groundwater flow and pore pressure distribution at the base of the structure. By placing a sheet pile under the dam, these phenomena, connected to piping and the value and location of the uplift force, can be controlled. These variables are usually studied considering the soil as isotropic, which simplifies the problems to obtain universal solutions, whether these are graphical or analytical. Nevertheless, assuming this simplification, real scenarios are not reflected, for example anisotropic hydraulic conductivities. In this paper, the effect of the location of a pile under the dam in different scenarios is studied: dam without a sheet pile and dam with a sheet pile located at the heel, centre and toe of the structure, modelling two different media in all cases, with isotropic and anisotropic hydraulic conductivities. In this way, the change in safety due to the pile and anisotropy can be considered. The scenarios are simulated with a tool based on the network method, with which, employing the electrical analogy, the variables of the problem (hydraulic potential, h, and groundwater flow, Q) are obtained by solving electric quantities voltage (V) ad electric current (I), respectively.

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“…In this regard it should be mentioned applications in the fields of fluid flow to transport (of mass or heat), inverse problem in heat transmission, magneto-hydrodynamic flow, mechanical vibrations, tribology, dry friction, membrane transport, elasticity, development of specific numerical calculation programs, etc. NSM had already been successfully applied in various fields of engineering, such as heat transfer [7,11], electrochemical reactions [12,13], transport across membranes [14], inverse problems [15][16][17][18], ion transport, magneto-hydrodynamics [19], problems coupled flow and transport [17,[20][21][22]; Alhama, Soto and al 2012), and others [23][24][25][26]; all these works describe nonlinear transport processes. In addition, recently, it has been applied to mechanics of deformable solids [27], and dry friction at the atomic level.…”

Section: Introductionmentioning

confidence: 99%

Multi-scale Simulations of Dry Friction Using Network Simulation Method

Marín-García

Alhama

Solano

et al. 2016

Applied Mathematics and Nonlinear Sciences

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The study of everyday phenomena involving friction continues to maintain a high level of difficulty despite its long history. The causes of this problem lie in the different scale of the characteristics of the phenomenon, macroscopic and microscopic. Thus, very different models, valid in a narrow scope which prevents generalization, have been appearing. This survey presents the application of network simulation method to the numerical solution to the study of friction at very different scales. On the one hand, on a microscopic scale an atomic force microscope model has been studied, related to the analysis of soft surfaces at the atomic scale. Furthermore, on a macroscopic scale model related to the analysis of an industrial device, such as a brake mechanism has been studied. After presenting herein is a review of the different formulations of the friction force, the nature of the surfaces involved in the phenomenon, as well as the definition of the problems to be analyzed. The design of network models and the implementation of the initial conditions are explained. The results of the application of network models to selected problems are presented. In order to verify the reliability of the proposed models, their results are compared with the solutions obtained by other numerical methods or experimental results, one from a device developed during the preparation of this report.

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Density-driven flow and solute transport problems. A 2-D numerical model based on the network simulation method

Cited by 10 publications

References 17 publications

Study of the Influence of Sheet Pile Location under Dams on Groundwater Flow and Pore Pressure with Network Method

Study of the Influence of Sheet Pile Location under Dams on Groundwater Flow and Pore Pressure with Network Method

Network Method As A Tool To Study The Influence Of The Position Of A Sheet Pile Under A Dam On Pore Pressure And Groundwater Flow

Multi-scale Simulations of Dry Friction Using Network Simulation Method

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