Peridynamics modelling of coupled water flow and chemical transport in unsaturated porous media

Yan, Huaxiang; Sedighi, Majid; Jivkov, Andrey P.

doi:10.1016/j.jhydrol.2020.125648

Cited by 40 publications

(33 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Later, Jabakhanji and Mohtar [11] addressed the transient nature of moisture flow in unsaturated porous media in PD framework. Very recently, [23] employed PD theory to simulate a coupled chemical transport and water flow. In this study, the authors implemented the BB-PD theory to formulate chemical transport and water flow by taking into account diffusion, advection, and dispersion processes in partially saturated porous media.…”

Section: State-based Pd Formulation For Chemical and Watermentioning

confidence: 99%

“…One of the benefits of this formulation is that it permits the implementation of flexible discretization in the domain of interest which in turn contributes a lot to the reduction of computational time. Yan et al [23] further implemented the BB-PD formulation to model a coupled chemical transport and water flow in unsaturated discontinuous and heterogeneous media. In this study, processes like dispersion, diffusion, and advection have been considered in partially saturated porous media.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

Zeleke

Ageze

2021

Journal of Engineering

View full text Add to dashboard Cite

The study of heat conduction phenomena using peridynamic (PD) theory has a paramount significance on the development of computational heat transfer. This is because PD theory has got an interesting feature to deal with the inherent nonlocal nature of heat transfer processes. Since the revolutionary work on PD theory by Silling (2000), extensive investigations have been devoted to PD theory. This paper provides a survey on the recent developments of PD theory mainly focusing on diffusion based peridynamic (PD) formulation. Both the bond-based and state-based PD formulations are revisited, and numerical examples of two-dimensional problems are presented.

show abstract

Section: State-based Pd Formulation For Chemical and Watermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

Zeleke

Ageze

2021

Journal of Engineering

View full text Add to dashboard Cite

show abstract

“…To demonstrate the method and to verify that this approach yields the correct results, the contaminant concentration profile obtained by the proposed analytical solution is compared with those obtained by peridynamics approach (PD). 42,43 The parameters used in this case have been listed in Molecular diffusion coefficient, D 0 (m 2 /s) 52 3.48×10 -10 3.31×10 -10 Horizontal hydraulic dispersion coefficient,…”

Section: Verificationmentioning

confidence: 99%

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

Yan

Xie

Wang

et al. 2020

Num Anal Meth Geomechanics

Self Cite

View full text Add to dashboard Cite

Cutoff walls are widely used as in-situ geoenvironmental barriers to isolate the contaminants caused by landfill leakage, chemical storage tank accidents, and mining activities. A two-dimensional analytical solution is developed to investigate the behavior of organic chemical transport in cutoff wall and aquifer. The method of Laplace transforms and finite Fourier cosine transform is adopted to derive the solution for a finite domain. The proposed analytical solutions are verified by the numerical approach. The effects of contaminant source distribution, aquifer scale, direction of flow rate, degradation, adsorption, and thickness of cutoff wall were investigated. The investigation of non-uniformly distribution of contamination sources indicates that the 1-D models lead to a more conservative result compared to the 2-D models. Biodegradation will be a dominant process and significantly enhance the performances of the barrier system when the half-life of contaminant is less than 4 years. Furthermore, the effect of dimension on breakthrough time can be augmented with the increase of distribution coefficient.

show abstract

“…This approach was recently used to develop a wide range of coupled problems that consider chemical diffusion in partially and fully saturated porous media e.g. [32,33,34,35]. These demonstrated the simplicity and universality of the approach for dealing with such problems.…”

Section: Introductionmentioning

confidence: 99%

“…Our development solves the outstanding issues of coupling between different processes, following ideas from [32,34]. The present paper is structured as follows.…”

Section: Introductionmentioning

confidence: 99%

Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics

Nikolaev,

Sedighi,

Jivkov

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. from liquid to solid and vice versa in the case of freezing and thawing of soils. The predictive modelling of such phenomena faces physical (multiple physical processes taking place) and mathematical (evolving interface with step change of properties) challenges. In this work, we develop and test a non-local approach based on bond-based peridynamics which addresses the challenges successfully. Our formulation allows for predicting the location of the interface between phases, and for calculating the temperature and pressure distributions within the saturated porous medium under the conditions of pressure driven water flow. The formulation is verified against existing analytical solutions for 1D problems, as well as finite element transient solutions for 2D problems. The agreement found by the verification exercise demonstrates the accuracy of the proposed methodology. The detailed coupled description of heat and hydraulic processes can be considered as a critical step towards a thermo-hydro-mechanical model, which will allow, for example, description of the hydrological behaviour of permafrost soils and the frost heave phenomenon.

show abstract

Peridynamics modelling of coupled water flow and chemical transport in unsaturated porous media

Cited by 40 publications

References 34 publications

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

A Review of Peridynamics (PD) Theory of Diffusion Based Problems

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics

Contact Info

Product

Resources

About