Modelling solute dispersion in periodic heterogeneous porous media: Model benchmarking against intermediate scale experiments

Abstract

HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

Self-similar solutions of shallow water equations with porosity

“…In this case, the error is taken as the distance between the fitted value and the nearest bound of the experimental error box. This approach was used in the past to maximize the plausibility of a model, that is, to determine a unique model setup that best explains the measurements in the light of the experimental error (see Majdalani et al (2018) for detailed considerations on the approach). The series for 1m x  and 4m x  are clearly outliers.…”

Influence of dual conduit structure on solute transport in karst tracer tests: An experimental laboratory study

“…In total, eight tracer tests are presented (the 10-60-30-30 experiment is used in all of the three groups as a reference case). Majdalani et al (2018) and DADE model by Field and Leij (2012). DRAD model assumes two regions flowing in parallel and exchanging mass due to concentration difference; in both regions, the ADE model is assumed valid (Fig.…”

“…The Advection-Dispersion-Equation (ADE) performs poorly in characterizing these BTCs. To better reproduce tailing effects, some researchers considered including further processes in the transport model (Morales et al, 2010): the Mobile-Immobile Model (MIM) developed by van Genuchten and Wierenga (1976) partitions the aquifer into mobile and immobile regions; Skopp et al (1981) proposed a dual-permeability model (also referred to as the Multiple Region Advection-Dispersion (MRAD) by Majdalani et al (2018)) with two mobile regions using the ADE model. Berkowitz et al (2006) proposed the Continuous Time Random Walk (CTRW) theory by conceptualizing solute transport as a series of particle jumps or transitions with spatially changing velocities, recently CTRW was also applied to karst aquifers (Goeppert et al, 2020).…”

Solute transport in heterogeneous model porous media under different flow rates: Experimental and modelling study

“…The so-called Multi-Region Advection-Dispersion (MRAD) (Majdalani et al 2018) model is a generalization of a variety of models introduced in the literature from the 1970s. Two wellknown particular configurations are (i) the Two Region (TR) model (Coats and Smith, 1964;Griffioen et al 1998) and its particular implementation known as the Mobile-Immobile (MI) model (van Genuchten and Wierenga, 1976), and (ii) the MultiRate (MR) model (Haggerty et al, 2000).…”

“…All tracer step experiments are replicated (see Section 2): each experiment is replicated 3 times and the ensemble of the experimental protocol is replicated on 3 different MHPMs built under the same specifications. We simulated the breakthrough curves by a classical approach based on the multi-region advection-dispersion (MRAD) model as presented and analyzed in Majdalani et al (2018), where only two mobile regions are used. The MRAD model is a generalization of well-known models such as the Two Region (TR), Mobile-Immobile (MI) and Multi-rate models (Coats and Smith, 1964;Griffioen et al 1998;Haggerty et al, 2000;van Genuchten and Wierenga, 1976).…”