A. Beaudoin, J. De-dreuzy, and J. Erhel, An Efficient Parallel Particle Tracker for 448

]. E. Bonnet, O. Bour, N. E. Odling, P. Davy, I. Main et al., Scaling 451 of fracture systems in geological media Relating flow channelling to tracer 453 dispersion in heterogeneous networks Algorithm 832: UMFPACK, an unsymmetric-pattern multifrontal method Localization and fault growth in layered 457 brittle-ductible systems: Implications for deformations of the continental lithosphere, Euro-Par 2007 Parallel Processing, pp.450-347, 1995.

J. De-dreuzy, P. Davy, and O. Bour, Hydraulic properties of two-dimensional random 460 fracture networks following a power law length distribution 1. Effective connectivity, p.461

J. R. De-dreuzy, A. Beaudoin, J. Marsily, F. Delay, J. Gonçalvès et al., Dealing with 466 spatial heterogeneity Spatial Averaging of Hydraulic Conductivity in Three-Dimensional 468 Heterogeneous Porous Media Groundwater flow and sand body interconnectedness in a thick, multiple 470 aquifer system Connected-network paradigm for the alluvial 472 aquifer system Theory, modeling and field 473 investigation in hydrogeology: A special volume in honor of Shlomo P Neuman's 474 60th. birthday The design and implementation of FFTW3 Anisotropic effective medium 478 solutions of head and velocity variance to quantify flow connectivity Advances in 479 On using the equivalent conductivity to characterize 481 solute spreading in environments with low-permeability lenses 483 [15] A.L. Gutjahr, Fast Fourier transforms for random field generation Effective hydraulic conductivity of fractured clay beds at a hazardous waste 486 landfill; Louisiana Gulf Coast, 2D heterogeneous 463 porous media determined by parallel numerical simulations. Water Resources 464 Research Proceedings of 476 the IEEE 93 484 project report 4-R58-2690R [17] A. Journel, and F.G. Alabert, Focusing on spatial connectivity of extreme-valued 488 attributes : stochastic indicator models of reservoir heterogeneities Journel, C.V. Deutsch, A.J. Desbarats, and A. Stanford, Power Averaging for Block 491, pp.465-161, 1986.

E. Permeability, ]. J. Spe-california, P. Kerrou, H. Renard, I. Hendricks-franssen et al., On the relationship between indicators of geostatistical, flow 497 and transport connectivity On the use of apparent hydraulic diffusivity as an indicator of 499 connectivity Binary upscaling -the role of 501 connectivity and a new formula Heterogeneity in sedimentary deposits: a review of 503 structure imitating, process-imitating and descriptives approaches Spatial connectivity : from variograms to multiple-point 506 measures Calculation of internodal transmissivities in finite 508 difference models of flow in heterogeneous porous media Characterization of the velocity 511 field organization in heterogeneous media by conditional correlation Flow channeling in strongly heterogeneous porous media. 515 A study of preferential flow in 517 heterogeneous media using random-walk particle tracking Effective permeability of porous media containing 520 branching channel networks Identifying discrete geologic structures that 522 produce anomalous hydraulic response: an inverse modeling approach Scale effects in transmissivity Scaling of flow and transport behavior in heterogeneous 527 groundwater systems Silliman, An interpretation of the difference between aperture estimates derived 529 from hydraulic and tracer tests in a single fracture Fault Growth in Brittle-Ductile Experiments and 532 the Mechanics of Continental Collisions Numerical-simulation of solute transport in 3- 534 dimensional, randomly heterogeneous porous-media Point-to-point connectivity, an 537 abstract concept or a key issue for risk assessment studies? Adv Flow Channeling in heterogeneous fractured rocks Flow channeling in a single fracture as a two dimensional 542 strongly heterogeneous permeable medium Numerical modeling of macrodispersion in 547 heterogeneous media -a comparison of multi-Gaussian and non-multi-Gaussian 548 models, Soc. Petro. 492 Eng. Issues in characterizing 494 heterogeneity and connectivity in non-multiGaussian media. Advances in Water 495 Resources 31 Water 523 Resources Research Sánchez-Vila, and D. Fernàndez-Garcia Flow in heterogeneous porous media. Soc. Petr. Eng 1 Toward capturing hydrologically 550 significant connectivity in spatial patterns43] B. Zinn, and C.F. Harvey, When good statistical models of aquifer heterogeneity go bad: 553 a comparison of flow, dispertion and mass transfer in connected and multivariate 554 Gaussian hydraulic conductivity fields, pp.493-147, 1961.