Representative hydraulic conductivities in saturated groundwater flow

X Sanchez‐Vila, A Guadagnini… - Reviews of …, 2006 - Wiley Online Library
Heterogeneity is the single most salient feature of hydrogeology. An enormous amount of
work has been devoted during the last 30 years to addressing this issue. Our objective is to …

Multifaceted nature of hydrogeologic scaling and its interpretation

SP Neuman, V Di Federico - Reviews of Geophysics, 2003 - Wiley Online Library
Geology is ubiquitously heterogeneous, exhibiting both discrete and continuous spatial
variations on a multiplicity of scales. It is therefore natural to expect that hydrogeologic and …

Convergence assessment of numerical Monte Carlo simulations in groundwater hydrology

F Ballio, A Guadagnini - Water resources research, 2004 - Wiley Online Library
Numerical Monte Carlo simulation is considered to be one of the main tools to be used in
groundwater hydrology (1) to quantify the uncertainty in the flow predictions due to imperfect …

Comparison of hydraulic tomography with traditional methods at a highly heterogeneous site

SJ Berg, WA Illman - Groundwater, 2015 - Wiley Online Library
Over the past several decades, different groundwater modeling approaches of various
complexities and data use have been developed. A recently developed approach for …

Radial permeability of fractured porous media by Monte Carlo simulations

P Xu, B Yu, X Qiao, S Qiu, Z Jiang - International Journal of Heat and Mass …, 2013 - Elsevier
The plane-radial seepage flow toward a well in fractured porous media is of pivotal
importance for oil/water reservoir engineering. According to the fractal scaling laws of size …

An analysis of the radial flow in the heterogeneous porous media based on fractal and constructal tree networks

P Xu, B Yu, S Qiu, J Cai - Physica A: Statistical Mechanics and its …, 2008 - Elsevier
In this paper, an analysis of the radial flow in the heterogeneous porous media based on
fractal and constructal tree networks is presented. A dual-domain model is applied to …

Type curve interpretation of late‐time pumping test data in randomly heterogeneous aquifers

SP Neuman, A Blattstein, M Riva… - Water Resources …, 2007 - Wiley Online Library
The properties of heterogeneous media vary spatially in a manner that can seldom be
described with certainty. It may, however, be possible to describe the spatial variability of …

Type‐curve estimation of statistical heterogeneity

SP Neuman, A Guadagnini… - Water Resources Research, 2004 - Wiley Online Library
The analysis of pumping tests has traditionally relied on analytical solutions of groundwater
flow equations in relatively simple domains, consisting of one or at most a few units having …

Uncertainty quantification in scale‐dependent models of flow in porous media

AM Tartakovsky, M Panzeri… - Water Resources …, 2017 - Wiley Online Library
Equations governing flow and transport in randomly heterogeneous porous media are
stochastic and scale dependent. In the moment equation (ME) method, exact deterministic …

Stochastic analysis of well‐type flows in randomly heterogeneous porous formations

G Severino - Water Resources Research, 2011 - Wiley Online Library
Well‐type flow takes place in a heterogeneous porous formation where the transmissivity is
modeled as a stationary random space function (RSF). General expressions for the …