All Publications

  • Method of Distributions for Water Hammer Equations With Uncertain Parameters WATER RESOURCES RESEARCH Alawadhi, A., Boso, F., Tartakovsky, D. M. 2018; 54 (11): 9398–9411
  • Information-Theoretic Approach to Bidirectional Scaling WATER RESOURCES RESEARCH Boso, F., Tartakovsky, D. M. 2018; 54 (7): 4916–28
  • Probabilistic Forecasting of Nitrogen Dynamics in Hyporheic Zone WATER RESOURCES RESEARCH Boso, F., Marzadri, A., Tartakovsky, D. M. 2018; 54 (7): 4417–31
  • The method of distributions for dispersive transport in porous media with uncertain hydraulic properties WATER RESOURCES RESEARCH Boso, F., Tartakovsky, D. M. 2016; 52 (6): 4700-4712
  • A theoretical framework for modeling dilution enhancement of non-reactive solutes in heterogeneous porous media JOURNAL OF CONTAMINANT HYDROLOGY de Barros, F. J., Fiori, A., Boso, F., Bellin, A. 2015; 175: 72–83


    Spatial heterogeneity of the hydraulic properties of geological porous formations leads to erratically shaped solute clouds, thus increasing the edge area of the solute body and augmenting the dilution rate. In this study, we provide a theoretical framework to quantify dilution of a non-reactive solute within a steady state flow as affected by the spatial variability of the hydraulic conductivity. Embracing the Lagrangian concentration framework, we obtain explicit semi-analytical expressions for the dilution index as a function of the structural parameters of the random hydraulic conductivity field, under the assumptions of uniform-in-the-average flow, small injection source and weak-to-mild heterogeneity. Results show how the dilution enhancement of the solute cloud is strongly dependent on both the statistical anisotropy ratio and the heterogeneity level of the porous medium. The explicit semi-analytical solution also captures the temporal evolution of the dilution rate; for the early- and late-time limits, the proposed solution recovers previous results from the literature, while at intermediate times it reflects the increasing interplay between large-scale advection and local-scale dispersion. The performance of the theoretical framework is verified with high resolution numerical results and successfully tested against the Cape Cod field data.

    View details for DOI 10.1016/j.jconhyd.2015.01.004

    View details for Web of Science ID 000353009900006

    View details for PubMedID 25795562

  • Cumulative distribution function solutions of advection-reaction equations with uncertain parameters PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Boso, F., Broyda, S. V., Tartakovsky, D. M. 2014; 470 (2166)


    We derive deterministic cumulative distribution function (CDF) equations that govern the evolution of CDFs of state variables whose dynamics are described by the first-order hyperbolic conservation laws with uncertain coefficients that parametrize the advective flux and reactive terms. The CDF equations are subjected to uniquely specified boundary conditions in the phase space, thus obviating one of the major challenges encountered by more commonly used probability density function equations. The computational burden of solving CDF equations is insensitive to the magnitude of the correlation lengths of random input parameters. This is in contrast to both Monte Carlo simulations (MCSs) and direct numerical algorithms, whose computational cost increases as correlation lengths of the input parameters decrease. The CDF equations are, however, not exact because they require a closure approximation. To verify the accuracy and robustness of the large-eddy-diffusivity closure, we conduct a set of numerical experiments which compare the CDFs computed with the CDF equations with those obtained via MCSs. This comparison demonstrates that the CDF equations remain accurate over a wide range of statistical properties of the two input parameters, such as their correlation lengths and variance of the coefficient that parametrizes the advective flux.

    View details for DOI 10.1098/rspa.2014.0189

    View details for Web of Science ID 000335326400021

    View details for PubMedID 24910529

    View details for PubMedCentralID PMC4042727

  • Homogenizability conditions for multicomponent reactive transport ADVANCES IN WATER RESOURCES Boso, F., Battiato, I. 2013; 62: 254-265
  • Performance analysis of statistical spatial measures for contaminant plume characterization toward risk-based decision making WATER RESOURCES RESEARCH Boso, F., de Barros, F. J., Fiori, A., Bellin, A. 2013; 49 (6): 3119–32

    View details for DOI 10.1002/wrcr.20270

    View details for Web of Science ID 000322241300004

  • Numerical simulations of solute transport in highly heterogeneous formations: A comparison of alternative numerical schemes ADVANCES IN WATER RESOURCES Boso, F., Bellin, A., Dumbser, M. 2013; 52: 178–89
  • Mixing processes in highly heterogeneous formations Boso, F., Bellin, A., Oswald, S. E., Kolditz, O., Attinger, S. INT ASSOC HYDROLOGICAL SCIENCES. 2012: 217–22
  • An indirect assessment on the impact of connectivity of conductivity classes upon longitudinal asymptotic macrodispersivity WATER RESOURCES RESEARCH Fiori, A., Boso, F., de Barros, F. J., De Bartolo, S., Frampton, A., Severino, G., Suweis, S., Dagan, G. 2010; 46