High order Godunov mixed methods on tetrahedral meshes for density driven flow simulations in porous media

Mazzia, Annamaria; Putti, Mario

doi:10.1016/j.jcp.2005.01.029

Cited by 31 publications

(28 citation statements)

References 36 publications

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“…For the coupled flow and transport modeling of the freshwater injection experiment, we used a 3-D density-dependent mixed-finite element-finite volume simulator (Mazzia and Putti, 2005). This algorithm was shown to be very effective in the presence of advection-dominated processes or instabilities in the flow field induced by density variations (Mazzia and Putti, 2006).…”

Section: Flow and Transport Modelingmentioning

confidence: 99%

Flow dynamics in hyper-saline aquifers: hydro-geophysical monitoring and modeling

Haaken

Deidda

Cassiani

et al. 2017

Hydrol. Earth Syst. Sci.

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Abstract. Saline-freshwater interaction in porous media is a phenomenon of practical interest particularly for the management of water resources in arid and semi-arid environments, where precious freshwater resources are threatened by seawater intrusion and where storage of freshwater in saline aquifers can be a viable option. Saline-freshwater interactions are controlled by physico-chemical processes that need to be accurately modeled. This in turn requires monitoring of these systems, a non-trivial task for which spatially extensive, high-resolution non-invasive techniques can provide key information. In this paper we present the field monitoring and numerical modeling components of an approach aimed at understanding complex saline-freshwater systems. The approach is applied to a freshwater injection experiment carried out in a hyper-saline aquifer near Cagliari (Sardinia, Italy). The experiment was monitored using time-lapse cross-hole electrical resistivity tomography (ERT). To investigate the flow dynamics, coupled numerical flow and transport modeling of the experiment was carried out using an advanced three-dimensional (3-D) density-driven flow-transport simulator. The simulation results were used to produce synthetic ERT inversion results to be compared against real field ERT results. This exercise demonstrates that the evolution of the freshwater bulb is strongly influenced by the system's (even mild) hydraulic heterogeneities. The example also highlights how the joint use of ERT imaging and gravity-dependent flow and transport modeling give fundamental information for this type of study.

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Section: Flow and Transport Modelingmentioning

confidence: 99%

Flow dynamics in hyper-saline aquifers: hydro-geophysical monitoring and modeling

Haaken

Deidda

Cassiani

et al. 2017

Hydrol. Earth Syst. Sci.

Self Cite

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“…A two-dimensional high-resolution version of this method through slope limiters was formulated by Dawson [22] and a second order in time method was introduced by Dawson and Kirby [23]. A similar time integration scheme was used to simulate density-driven flow in porous media by Mazzia and Putti [25]. The local time stepping scheme was successfully used with finite volumes for simulation of microwave antennas in Fumeaux et al [24].…”

Section: The Mixed Finite Element For the Diffusion Equationmentioning

confidence: 99%

Solving the advection–diffusion equation on unstructured meshes with discontinuous/mixed finite elements and a local time stepping procedure

Soueidy¹,

Younès²,

Ackerer³

2009

Numerical Meth Engineering

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“…We will also use the following relation for q, which is a commonly used expression for density dependent flows, as given by Mazzia and Putti (2005) …”

Section: Obtaining the Ensemble Averaged Density Dependent Flow Equationmentioning

confidence: 99%

The effect of non divergence-free velocity fields on field scale ground water solute transport

Sirin

2006

Stoch Environ Res Ris Assess

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Solute plume subjected to field scale hydraulic conductivity heterogeneity shows a large dispersion/ macrodispersion, which is the manifestation of existing fields scale heterogeneity on the solute plume. On the other hand, due to the scarcity of hydraulic conductivity measurements at field scale, hydraulic conductivity heterogeneity can only be defined statistically, which makes the hydraulic conductivity a random variable/function. Random hydraulic conductivity as a parameter in flow equation makes the pore flow velocity also random and the ground water solute transport equation is a stochastic differential equation now. In this study, the ensemble average of stochastic ground water solute transport equation is taken by the cumulant expansion method in order to upscale the laboratory scale transport equation to field scale by assuming pore flow velocity is a non stationary, non divergence-free and unsteady random function of space and time. Besides the stochastic explanation of macrodispersion and the velocity correction term obtained by Kavvas and Karakas (J Hydrol 179:321-351, 1996) before a new velocity correction term, which is a function of mean pore flow velocity divergence, is obtained in this study due to strict second order cumulant expansion (without omitting any term after the expansion) performed. The significance of the new velocity correction term is investigated on a one dimensional transport problem driven by a density dependent flow field.

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High order Godunov mixed methods on tetrahedral meshes for density driven flow simulations in porous media

Cited by 31 publications

References 36 publications

Flow dynamics in hyper-saline aquifers: hydro-geophysical monitoring and modeling

Flow dynamics in hyper-saline aquifers: hydro-geophysical monitoring and modeling

Solving the advection–diffusion equation on unstructured meshes with discontinuous/mixed finite elements and a local time stepping procedure

The effect of non divergence-free velocity fields on field scale ground water solute transport

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