New form of dispersion tensor for axisymmetric porous media with implementation in particle tracking

Lichtner, Peter C.; Kelkar, Sharad; Robinson, Bruce A.

doi:10.1029/2000wr000100

Cited by 54 publications

(51 citation statements)

References 28 publications

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“…For an isotropic medium there is no preferred axis of symmetry the dispersion tensor D H has the well-known form (Bear, 1972b) Anisotropic Media. The dispersion tensor for anisotropic media has not received much attention, However, it has been shown that in an axi-symmetric medium with axis of symmetry λ s , the dispersion tensor takes the general form (Lichtner et al, 2002)…”

Section: Process Model Equationsmentioning

confidence: 99%

Mathematical Formulation Requirements and Specifications for the Process Models

Steefel¹,

Moulton²,

Pau³

et al. 2010

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Section: Process Model Equationsmentioning

confidence: 99%

Mathematical Formulation Requirements and Specifications for the Process Models

Steefel¹,

Moulton²,

Pau³

et al. 2010

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“…The dispersion matrix used here has the form given by Lichtner et al (2002). The parameter R e ij is the effective retardation factor that evolves as a result of the differential retardation effects among the species involved in the chemical network reaction system (Henri and Fernàndez-Garcia, 2014).…”

Section: The Algorithmmentioning

confidence: 99%

A random walk solution for modeling solute transport with network reactions and multi-rate mass transfer in heterogeneous systems: Impact of biofilms

Henri

Fernàndez-García

2015

Advances in Water Resources

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The interplay between the spatial variability of aquifer properties, mass transfer and chemical reactions often complicates reactive transport simulations. It is well documented that hydro-biochemical properties are ubiquitously heterogeneous and that rate-limited mass transfer typically leads to the conceptualization of an aquifer as a multi-porosity system. Within this context, chemical reactions taking place in mobile/immobile water regions can be substantially different between each other. This paper presents a particle-based method that can efficiently simulate heterogeneity, network reactions and multi-rate mass transfer. The approach is based on the development of transition probabilities that describe the likelihood that particles belonging to a given species and mobile/immobile domain at a given time will be transformed into another species and mobile/immobile domain afterwards. The joint effect of mass transfer and sequential degradation is shown to be non-trivial. A characteristic double peak of daughter products occurs when the degradation capacity in the immobile domain is relatively small. This late rebound of concentrations is not driven by any change in the flow regime (e.g., pumping ceases in the pump-and-treat remediation strategy) but due to the natural interplay between mass transfer and chemical reactions. To illustrate that the method can simultaneously represent mass transfer, spatially varying properties and network reactions without numerical problems, we have simulated the degradation of tetrachloroethylene (PCE) in a three-dimensional fully heterogeneous aquifer subjected to rate-limited mass transfer. Two types of degradation modes were considered to compare the effect of an active biofilm with that of clay pods present in the aquifer. Results of the two scenarios display significantly differences. Biofilms that promote the degradation of compounds in an immobile region are shown to significantly enhance degradation, rapidly producing daughter products and less tailing.

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“…The matrix B represents the direction displacement distance for the random process (Lichtner et al, 2002). …”

Section: Random Walk Particle Trackingmentioning

confidence: 99%

Random walk particle tracking approach to assess 3-D macrodispersion in heterogeneous aquifers

Inoue

Tanaka

2016

JGS Special Publication

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A series of solute transport simulations in physically heterogeneous aquifers were conducted to assess the impacts on macrodispersion under saturated flow conditions. The aquifer system of concern relied on the hydrogeological data in a site in the Netherlands and was generated geostatistically as randomly correlated hydraulic conductivity. Ensemble computations in 100 realizations were based upon random walk particle tracking linked with temporal moments to estimate three macrodispersivities. The results showed the scale dependence of macrodispersivities and the asymptotic nature of longitudinal macrodispersivity. From a practical standpoint, the simulations demonstrated that control plane and its middle element provide almost identical macrodispersivity estimates in terms of transverse mixing, but differ markedly from estimates of longitudinal mixing.

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New form of dispersion tensor for axisymmetric porous media with implementation in particle tracking

Cited by 54 publications

References 28 publications

Mathematical Formulation Requirements and Specifications for the Process Models

Mathematical Formulation Requirements and Specifications for the Process Models

A random walk solution for modeling solute transport with network reactions and multi-rate mass transfer in heterogeneous systems: Impact of biofilms

Random walk particle tracking approach to assess 3-D macrodispersion in heterogeneous aquifers

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