A geostatistical approach to estimating the parameters of a 3D Cox-Boolean discrete fracture network from 1D and 2D sampling observations

Hekmatnejad, Amin; Emery, Xavier; Elmo, Davide

doi:10.1016/j.ijrmms.2018.11.003

Cited by 11 publications

(5 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section, the Galerkin finite element method is used to discretize the governing equations Equations ( 9) and (10). Then, the primary unknowns of concentration and fluid pressure can be calculated in a unified formulation.…”

Section: Methodsmentioning

confidence: 99%

“…[7][8][9] In the past decades, two categories of numerical methods have been developed to model and analyze fractured porous media. The first category is the geostatistical-based methods, 10,11 which focus on investigation of statistical features of the naturally created fracture networks, as well as visualization approaches based on the statistical study. It does not consider numerical simulation of fluid dynamics and geomechanics.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fluid flow and mass transport in fractured media with curved fractures and varying apertures: A 3D modeling approach

Wang

Yin

2023

Numerical Meth Engineering

View full text Add to dashboard Cite

Fractured media have been extensively studied due to their significant impact on hydraulic properties of subsurface systems. However, accurately modeling and simulating flow and transport in complex 3D fractured media still remains a challenge. For this purpose, this work aims to develop a new 3D modeling approach and investigate flow and mass transport in fractured media. First, a modeling approach is presented for generating 3D complex structures and high quality finite element grids. This approach allows for the presence of a range of complex geometries, including curved fracture, multiple fractures and the coexistence of fracture‐inclusions. The resulting models and grids are of high quality, enabling accurate simulation and analysis of complex systems. Furthermore, stress‐dependent aperture and roughness are integrated in the computational scheme using Barton–Bandis law. The Galerkin finite element method is used for numerical discretization, then pressure and concentration are calculated in a unified formulation. Later, numerical tests are performed to analyze the role of 3D fractures in flow and mass transport. Simulation results show that fractures have a larger impact on pressure distribution and flow rate compared to inclusions. Fracture roughness increases the aperture then the effective conductivity is improved as well. Curved fractures may reduce flow rate more than planar fractures due to the tortuosity effect. The variation of equivalent permeability tensor is analyzed with varying orientation, roughness, and number of fractures. The impact of stress and fracture roughness causes a variation of fracture permeability and a high pressure gradient on the fracture‐matrix interface, resulting in different patterns of concentration evolution. Overall, this investigation provides insights into the role of 3D fractures in subsurface flow and transport, with implications for various applications.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fluid flow and mass transport in fractured media with curved fractures and varying apertures: A 3D modeling approach

Wang

Yin

2023

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Data from exposed rock faces, such as natural outcrops, excavation faces, and boreholes have proved to be useful (Tonon and Chen 2007). Among sampling techniques for deriving fracture parameters, the most utilized are in-hole images or wireline geophysical logging (Ozkaya aand Mattner 2003;Hekmatnejad et al 2019), scanline survey, circle sampling or window survey (Priest and Hudson 1981a, b;Kulatilake et al 2003;Kulatilake and Wu 1984;Einstein 1998, 2000;Song and Lee 2001;Jimenez-Rodriguez and Sitar 2006), as well as digital photogrammetry and laser scanning techniques (Elmo et al 2015;Vollgger and Cruden 2016).…”

Section: Introductionmentioning

confidence: 99%

“…The spatial structure of the fractures' support points is another fundamental aspect in DFN models. The homogeneous Poisson-Boolean point process has been widely used (Baecher et al 1977;Kulatilake and Wu 1984;Zhang and Einstein 1998;Song and Lee 2001;Jimenez-Rodriguez and Sitar 2006;Hekmatnejad et al 2019). Other types of pointsupporting processes are the doubly stochastic Poisson, or Cox, the Levy-Lee Fractal, the non-stationary Poisson and the Gibbs processes, among others.…”

Section: Introductionmentioning

confidence: 99%

“…Other types of pointsupporting processes are the doubly stochastic Poisson, or Cox, the Levy-Lee Fractal, the non-stationary Poisson and the Gibbs processes, among others. See e.g., Aldous et al (1988), Lee et al (2011) and Hekmatnejad et al (2019). The decision on the process to be applied depends on the overall breakage pattern of the rock.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Non-parametric Discrete Fracture Network Model

et al. 2023

View full text Add to dashboard Cite

A discrete fracture network (DFN) model based on non-parametric kernel density estimators (KDE) and directional-linear statistics is developed. The model provides a characterization of the fracture network with distributions of fracture orientation and size jointly. A solution to the Bertrand paradox is used for the calculation of disk sizes from trace lengths, the latter calculated from the intersection of disks and highwall faces by triangulation. A Poisson point process is applied for the generation of the model, with fractures assumed to be flat and circular in shape, the number of fractures per unit volume (P30) adjusted to match the experimental length of fractures per unit area (P21). Length censoring of traces due to the surface dimension is considered in the calculations by including semi-bounded traces, i.e., traces censored in one of their ends. Orientation and size biases are corrected with a weighting function in the random sampling. The truncation effect whereby no traces shorter than some cut-off length are recorded, is addressed by a randomized optimization algorithm. The joint fracture orientation-size distribution model developed is tested with trace maps of discontinuities measured from photogrammetric models of twelve highwall faces of quarry benches, with outstanding results. Computational advantages over traditional parametric fracture models are addressed.

show abstract

Connectivity evaluation of fracture networks considering the correlation between trace length and aperture

Fan

Yao

Yang

et al. 2020

Applied Mathematical Modelling

View full text Add to dashboard Cite

A geostatistical approach to estimating the parameters of a 3D Cox-Boolean discrete fracture network from 1D and 2D sampling observations

Cited by 11 publications

References 25 publications

Fluid flow and mass transport in fractured media with curved fractures and varying apertures: A 3D modeling approach

Fluid flow and mass transport in fractured media with curved fractures and varying apertures: A 3D modeling approach

A Non-parametric Discrete Fracture Network Model

Connectivity evaluation of fracture networks considering the correlation between trace length and aperture

Contact Info

Product

Resources

About