Journal Papers


  • Lester, D. R., Dentz, M., T. Le Borgne, F. P. J. de Barros, Fluid Deformation in Random Steady Three Dimensional Flow, J. Fluid. Mech., accepted, 2018. pdf
  • Aquino, T. and M. Dentz, A coupled time domain random walk approach for transport in media characterized by broadly-distributed heterogeneity length scales, Adv. Water Resour., 119, 60-69, 2018.
  • Dentz, M., F. P. J. de Barros, T. Le Borgne, D. R. Lester, Evolution of Solute Blobs in Heterogeneous Porous Media, J. Fluid. Mech., 853, 621-646, 2018.
  • Comolli, A. and M. Dentz, The impact of diffusive motion on anomalous dispersion in structured disordered media: From correlated Lévy flights to continuous time random walks, Phys. Rev. E, 97, 052146, 2018. pdf,
  • Carrel, M., V. Morales, V. L. Morales, M. Dentz, N. Derlon, E. Morgenroth, and M. Holzner, Pore-scale hydrodynamics in a progressively bio-clogged three-dimensional porous medium: 3D particle tracking experiments and stochastic transport modeling, Water Resour. Res., 54, 2018. pdf, doi:10.1002/2017WR021726
  • Dentz, M., M. Icardi, J. J. Hidalgo, Mechanisms of dispersion in a porous medium, J. Fluid Mech. 841, 851-882, 2018.
  • Hidalgo, J. and M. Dentz, Mixing across fluid interfaces compressed by convective flow in porous media, J. Fluid Mech., 838, 105-128, 2018. pdfdoi:/10.1017/jfm.2017.888.
  • Pool, M. and M. Dentz, Effects of heterogeneity, connectivity and density variations on mixing and chemical reactions under temporally fluctuating flow conditions and the formation of reaction patterns, Water Resour. Res., 54, 2018.


  • Kordilla, J., T. Noffz, M. Dentz, T. Geyer, and A. M. Tartakovsky, Effect of unsaturated flow modes on partitioning dynamics of gravity-driven flow at a simple fracture intersection: Laboratory study and three-dimensional smoothed particle hydrodynamics simulations, Water Resour. Res. , 53, 94969518, 2017.
  • Aquino, T. and M. Dentz, Chemical continuous time random walks, Phys. Rev. Lett., 119, 230601, 2017.
  • Morales, V., M. Dentz, M. Willmann, and M. Holzner, Stochastic dynamics of intermittent pore-scale particle motion in three–dimensional porous media: Experiments and theory, Geophys. Res. Lett., 44, 9361-9371, 2017. pdf,
  • Russian, A., M. Dentz, and P. Gouze, Self-averaging and weak ergodicity breaking of diffusion in heterogeneous media, Phys. Rev. E,96, 022156, 2017. pdf, Rev. E Kaleidoscope.
  • Comolli, A. and M. Dentz, Anomalous dispersion in correlated porous media: A coupled continuous time random walk approach, Eur. Phys. J. B, 90, 2017. pdf,
  • Lapeyre, G. J. and M. Dentz, Reaction-diffusion with stochastic decay rates, Phys. Chem. Chem. Phys., 19, 18863-18879, 2017. pdf,, 2017 PCCP HOT article.
  • Massoudieh, A., M. Dentz and J. Alikhani, A spatial Markov model for the evolution of the joint distribution of groundwater age, arrival time, and velocity in heterogeneous media, Water Resour. Res., 53, doi:10.1002/2017WR020578, 2017. pdf
  • Kang, P. K., M. Dentz, T. Le Borgne, S. Lee, and R. Juanes, Anomalous transport in disordered fracture networks: spatial Markov model for dispersion with variable injection modes, Adv. Water Resour., 2017. pdf,
  • Bandopadhyay, A., T. Le Borgne, Y. Meheust, and M. Dentz, Enhanced reaction kinetics and reactive mixing scale dynamics in mixing fronts under under shear flow for arbitrary Damköhler numbers, Adv. Water Resour., 100, 78-95, 2017.
  • Le Borgne, T., P. Huck, M. Dentz, and E. Villermaux, Scalar Gradients in Stirred Mixtures and the Deconstruction of Random Fields, J. Fluid Mech., 812, 578-610, 2017. pdf


  • Dentz, M., D. R. Lester, T. Le Borgne, F. P. J. de Barros, Coupled continuous time random walks for fluid stretching in two-dimensional heterogeneous media, Phys. Rev. E, 94, 061102(R), 2016.
  • Dentz, M., P. K. Kang, A. Comolli, T. Le Borgne, and D. R. Lester, Continuous Time Random Walks for the Evolution of Lagrangian Velocities, Phys. Rev. Fluids, 1, doi:10.1103/PhysRevFluids.1.074004, 074004, 2016. pdf,
  • Dentz, M., I. Neuweiler, Y. Meheust, and D. M. Tartakovsky, Noise-Driven Interfaces and Their Macroscopic Representation, Phys. Rev. E 94, 052802, doi:10.1103/PhysRevE.94.052802, 2016. pdf,
  • Tyukhova, A., M. Dentz, W. Kinzelbach, and M. Willmann, Mechanisms of Anomalous Dispersion in Flow Through Heterogeneous Porous Media, Phys. Rev. Fluids 1, 074002, doi:10.1103/PhysRevFluids.1.074002, 2016. pdf,
  • Pool, M., M. Dentz, and V. E. A. Post, Transient forcing effects on mixing of two fluids for a stable stratification, Water Resour. Res., 52, doi:10.1002/2016WR019181, 2016.
  • Lester, D. R., M. Dentz, and T. Le Borgne, Chaotic mixing in three-dimensional porous media, J. Fluid Mech. 803, 144-174, doi:10.1017/jfm.2016.486, 2016.
  • Klepikova, M. V., T. Le Borgne, O. Bour, M. Dentz, R. Hochreutener, and N. Lavenant, Heat as a tracer for understanding transport processes in fractured media: Theory and field assessment from multiscale thermal push-pull tracer tests, Water Resour. Res., 52, 54425457, doi:10.1002/2016WR018789, 2016. pdf,’s Choice Award 2016
  • Comolli, A., J. J. Hidalgo, C. Moussey, and M. Dentz, Non-Fickian Transport Under Heterogeneous Advection and Mobile-Immobile Mass Transfer, Transp. Porous Media, doi:10.1007/s11242-016-0727-6, 2016. pdf,
  • Pedretti, D., A. Russian, X. Sanchez-Vila, and M. Dentz, Scale dependence of the hydraulic properties of a fractured aquifer estimated using transfer functions, Water Resour. Res., doi:10.1002/2016WR018660, 2016. pdf,
  • Noetinger, B., Roubinet D., Russian A., Le Borgne, T., Delay F., Dentz, M., de Dreuzy, J. R. and Gouze, P., Random walk methods for modeling hydrodynamic transport in porous and fractured media from pore to reservoir scale, Transp. Porous Media, doi:10.1007/s11242-016-0693-z, 2016. pdf,
  • Russian, A., M. Dentz, and P. Gouze, Time Domain Random Walks for Hydrodynamic Transport in Heterogeneous Media, Water Resour. Res., doi:10.1002/2015WR018511, 2016. pdf,
  • de Barros, F. P. J., and M. Dentz, Pictures of Blockscale Transport: Effective versus Ensemble Dispersion and Its Uncertainty, Adv. Water Resour. 91, 11–22, doi:10.1016/j.advwatres.2016.03.004, 2016. pdf,
  • Tecklenburg, J., I. Neuweiler, J. Carrera, and M. Dentz, Multi-rate mass transfer model for two-phase flow in highly heterogeneous fractured and porous media, Adv. Water Resour. 91, 62-77, doi:10.1016/j.advwatres.2016.02.010, 2016. pdf,
  • Dentz, M., A. Russian, and P. Gouze,  Self-Averaging and Ergodicity of Subdiffusion in Quenched Random Media, 93, 010101(R), doi:10.1103/PhysRevE.93.010101, 2016. pdf,, Erratum


  • Gjetvaj, F., A. Russian, P. Gouze, and M. Dentz, Dual Control of Flow Field Heterogeneity and Immobile Porosity on Non-Fickian Transport in Berea Sandstone, Water Resour. Res. 51, doi:10.1002/2015WR017645, 2015. pdf,
  • Dentz, M., T. Le Borgne, D. Lester, F. P. J. de Barros, Scaling Forms of Particle Densities for Lévy Walks and Strong Anomalous Diffusion, Phys. Rev. E 92, 032128, doi:10.1103/PhysRevE.92.032128, 2015. pdf,
  • Kang, P. K., M. Dentz, T. Le Borgne, and R. Juanes, Anomalous transport on regular fracture networks: Impact of conductivity heterogeneity and mixing at fracture intersections, Phys. Rev. E 92, 022148, doi:10.1103/PhysRevE.92.022148, 2015. pdf,
  • Hidalgo, J., M. Dentz, Y. Cabeza and J. Carrera, Dissolution Patterns and Mixing Dynamics in Unstable Reactive Flow, Geophys. Res. Lett., 42, doi:10.1002/2015GL065036, 2015. pdf,
  • Holzner, M., M. Willmann, V. Morales and M. Dentz, Intermittent Lagrangian Velocities and Accelerations in Three-Dimensional Porous Medium Flow, Phys. Rev. E, 92, 013015, doi:10.1103/PhysRevE.92.013015, 2015. pdf,
  • Dentz M. and F. P. J. de Barros, Mixing-Scale Dependent Dispersion for Transport in Heterogeneous Flows, J. Fluid Mech., 777, 178–195, doi:10.1017/jfm.2015.351, 2015.  pdf,, Journal cover 25 August 2015.
  • Russian, A., P. Gouze, M. Dentz, A. Gringarten, Multi-continuum Approach to Modelling Shale Gas Extraction, Transp. Porous Media, doi:10.1007/s11242-015-0504-y, 2015. pdf,
  • Cueto, L., M. Dentz and R. Juanes, Regime Shifts in Bistable Water-Stressed Ecosystems Due to Amplification of Stochastic Rainfall Patterns, Phys. Rev. E, 91, 052148, doi:10.1103/PhysRevE.91.052148, 2015. pdf,
  • Dentz, M., P. K. Kang and T. Le Borgne, Continuous Time Random Walks for Non-Local Radial Solute Transport, Adv. Water Resour., 82, 16–26, doi:10.1016/j.advwatres.2015.04.005, 2015. pdf,
  • Le Borgne, T., M. Dentz and E. Villermaux, The Lamellar Description of Mixing in Porous Media, J. Fluid Mech., 770, 458–498, doi:10.1017/jfm.2015.117, 2015. pdf,


  • Kang, P. K., T. Le Borgne, M. Dentz, O. Bour and R. Juanes, Impact of velocity correlation and distribution on transport in fractured media: field evidence and theoretical model, Water Resour. Res. 51, 940–959, doi:10.1002/2014WR015799, 2015. pdf,
  • Le Borgne, T., T. Ginn, and M. Dentz, Impact of Fluid Deformation on Mixing-Induced Chemical Reactions in Heterogeneous Flows, Geophys. Res. Lett., doi: 10.1002/ 2014GL062038, 2014. pdf,

Book Chapters

  • Dentz, M., T. Le Borgne, D. Lester, and F. P. J. de Barros, Mixing in Porous Media,in The Handbook of Groundwater Engineering, 3rd Edition, edited by John H. Cushman and Daniel M. Tartakovsky, Taylor and Francis, pp. 383-407, 2016. pdf
  • Dentz, M., J. Carrera, J. J. Hidalgo, Upscaling and Scale Effects, in Geological Storage of CO2 in Deep Saline Formations, edited by Auli Niemi, Jacob Bear and Jacob Bensabat, Volume 29 of the series Theory and Applications of Transport in Porous Media, pp. 187-248, 2017. pdf