1887
  1. Home
  2. Conferences
  3. Conference Proceedings
  4. ECMOR XVII
  5. Conference paper

Abstract

Summary

Embedded Discrete Fracture Models (EDFMs) for fractured porous media are preferable over Discrete Fracture Models if complex fracture geometries are to be fully resolved and the fractures and matrix discretizations are conformal. Lagrangian particle-tracking schemes offer convenient means for solute transport modeling because in EDFM frameworks, an orthogonal grid can be used irrespective of the fracture geometries. However, the absence of resolved fracture-matrix interfaces and different dimensionalities of the matrix and fracture continua motivate the use of a stochastic framework for particle-tracking. In this work, we developed a stochastic, time-adaptive particle-tracking scheme for EDFM models of fractured media with a permeable matrix. We formulated the probabilities of inter-continuum particle transfer, which have dependency on the particle travel time through the matrix/fracture control volumes. We showcase the conservative nature of the proposed particle-tracking scheme and additionally, illustrate the estimation of averaged solute concentration field. Such an illustration hints at the potential extensions of the tracking scheme, e.g., modeling of solute transport with kinetic reactions, and its incorporation into random walk models for dispersion in fractured media.

© EAGE Publications BV
Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.202035134
2020-09-14
2024-04-25

  • From This Site

    /content/papers/10.3997/2214-4609.202035134
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Deb, R. and Jenny, R
    [2017] Finite volume-based modeling of flow-induced shear failure along fracture manifolds. International Journal for Numerical and Analytical Methods in Geomechanics, 41(18), 1922–1942.
     [Google Scholar]
  2. Hajibeygi, H., Karvounis, D. and Jenny, R
    [2011] A hierarchical fracture model for the iterative multi-scale finite volume method. Journal of Computational Physics, 230(24), 8729–8743.
     [Google Scholar]
  3. Jenny, R, Tchelepi, H. and Meyer, D.
    [2006] Uncertainty assessment of transport in porous media based on a probability density function method. In: ECMOR X-10th European Conference on the Mathematics of Oil Recovery.
     [Google Scholar]
  4. Karvounis, D.C. and Jenny, R
    [2016] Adaptive hierarchical fracture model for enhanced geothermal systems. Multiscale Modeling & Simulation, 14(1), 207–231.
     [Google Scholar]
  5. Kinzelbach, W.
    [1988] The Random Walk Method in Pollutant Transport Simulation. In: Custodio, E., Gurgui, A. and Ferreira, J.P.L. (Eds.) Groundwater Flow and Quality Modelling, Springer Netherlands, Dordrecht, 227–245.
     [Google Scholar]
  6. LaBolle, E.M., Fogg, G.E. and Tompson, A.F.B.
    [1996] Random-Walk Simulation of Transport in Heterogeneous Porous Media: Local Mass-Conservation Problem and Implementation Methods. Water Resources Research, 32(3), 583–593.
     [Google Scholar]
  7. Liu, H.H., Bodvarsson, G.S. and Pan, L.
    [2000] Determination of particle transfer in random walk particle methods for fractured porous media. Water Resources Research, 36(3), 707–713.
     [Google Scholar]
  8. Meyer, D. and Jenny, P.
    [2004] Conservative velocity interpolation for PDF methods. In: PAMM: Proceedings in Applied Mathematics and Mechanics, 4. Wiley Online Library, 466–467.
     [Google Scholar]
  9. Meyer, D.W., Jenny, P. and Tchelepi, H.A.
    [2010] A joint velocity-concentration PDF method for tracer flow in heterogeneous porous media. Water Resources Research, 46(12).
     [Google Scholar]
  10. Pan, L. and Bodvarsson, G.S.
    [2002] Modeling transport in fractured porous media with the random-walk particle method: The transient activity range and the particle transfer probability. Water Resources Research, 38(6), 16–1.
     [Google Scholar]
  11. Pollock, D.W.
    [1988] Semianalytical Computation of Path Lines for Finite-Difference Models. Ground-water, 26(6), 743–750.
     [Google Scholar]
  12. de Rooij, R., Graham, W. and Maxwell, R.M.
    [2013] A particle-tracking scheme for simulating pathlines in coupled surface-subsurface flows. Advances in Water Resources, 52, 7–18.
     [Google Scholar]
  13. Salamon, P., Fernandez-Garcia, D. and Gomez-Hernandez, J.J.
    [2006] A review and numerical assessment of the random walk particle tracking method. Journal of Contaminant Hydrology, 87(3), 277–305.
     [Google Scholar]
  14. Valocchi, A.J. and Quinodoz, H.A.
    [1989] Application of the random walk method to simulate the transport of kinetically adsorbing solutes. Groundwater contamination, 185, 35–42.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.202035134
Loading
Particle Transport Scheme for Embedded Discrete Fracture Models
Conference Proceedings 2020, 1 (2020); https://doi.org/10.3997/2214-4609.202035134
/content/papers/10.3997/2214-4609.202035134
/content/papers/10.3997/2214-4609.202035134
Loading

Data & Media loading...

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error