On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions
<p>This paper presents analytical solutions to estimate at any scale the fracture density variability associated to stochastic Discrete Fracture Networks. These analytical solutions are based upon the assumption that each fracture in the network is an independent event. Analytical solutions ar...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2019-09-01
|
| Series: | Advances in Geosciences |
| Online Access: | https://www.adv-geosci.net/49/77/2019/adgeo-49-77-2019.pdf |
| _version_ | 1811269469463379968 |
|---|---|
| author | E. Lavoine E. Lavoine P. Davy C. Darcel R. Le Goc |
| author_facet | E. Lavoine E. Lavoine P. Davy C. Darcel R. Le Goc |
| author_sort | E. Lavoine |
| collection | DOAJ |
| description | <p>This paper presents analytical solutions to estimate at
any scale the fracture density variability associated to stochastic Discrete
Fracture Networks. These analytical solutions are based upon the assumption
that each fracture in the network is an independent event. Analytical
solutions are developed for any kind of fracture density indicators. Those
analytical solutions are verified by numerical computing of the fracture
density variability in three-dimensional stochastic Discrete Fracture
Network (DFN) models following various orientation and size distributions,
including the heavy-tailed power-law fracture size distribution. We show
that this variability is dependent on the fracture size distribution and the
measurement scale, but not on the orientation distribution. We also show
that for networks following power-law size distribution, the scaling of the
three-dimensional fracture density variability clearly depends on the
power-law exponent.</p> |
| first_indexed | 2024-04-12T21:42:37Z |
| format | Article |
| id | doaj.art-e92de51cb4574b33aeea6ef7542f6e5d |
| institution | Directory Open Access Journal |
| issn | 1680-7340 1680-7359 |
| language | English |
| last_indexed | 2024-04-12T21:42:37Z |
| publishDate | 2019-09-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Advances in Geosciences |
| spelling | doaj.art-e92de51cb4574b33aeea6ef7542f6e5d2022-12-22T03:15:43ZengCopernicus PublicationsAdvances in Geosciences1680-73401680-73592019-09-0149778310.5194/adgeo-49-77-2019On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributionsE. Lavoine0E. Lavoine1P. Davy2C. Darcel3R. Le Goc4Univ Rennes, CNRS, Géosciences Rennes, UMR 6118, 35000 Rennes, FranceItasca Consultants SAS, Écully, FranceUniv Rennes, CNRS, Géosciences Rennes, UMR 6118, 35000 Rennes, FranceItasca Consultants SAS, Écully, FranceItasca Consultants SAS, Écully, France<p>This paper presents analytical solutions to estimate at any scale the fracture density variability associated to stochastic Discrete Fracture Networks. These analytical solutions are based upon the assumption that each fracture in the network is an independent event. Analytical solutions are developed for any kind of fracture density indicators. Those analytical solutions are verified by numerical computing of the fracture density variability in three-dimensional stochastic Discrete Fracture Network (DFN) models following various orientation and size distributions, including the heavy-tailed power-law fracture size distribution. We show that this variability is dependent on the fracture size distribution and the measurement scale, but not on the orientation distribution. We also show that for networks following power-law size distribution, the scaling of the three-dimensional fracture density variability clearly depends on the power-law exponent.</p>https://www.adv-geosci.net/49/77/2019/adgeo-49-77-2019.pdf |
| spellingShingle | E. Lavoine E. Lavoine P. Davy C. Darcel R. Le Goc On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions Advances in Geosciences |
| title | On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions |
| title_full | On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions |
| title_fullStr | On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions |
| title_full_unstemmed | On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions |
| title_short | On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions |
| title_sort | on the density variability of poissonian discrete fracture networks with application to power law fracture size distributions |
| url | https://www.adv-geosci.net/49/77/2019/adgeo-49-77-2019.pdf |
| work_keys_str_mv | AT elavoine onthedensityvariabilityofpoissoniandiscretefracturenetworkswithapplicationtopowerlawfracturesizedistributions AT elavoine onthedensityvariabilityofpoissoniandiscretefracturenetworkswithapplicationtopowerlawfracturesizedistributions AT pdavy onthedensityvariabilityofpoissoniandiscretefracturenetworkswithapplicationtopowerlawfracturesizedistributions AT cdarcel onthedensityvariabilityofpoissoniandiscretefracturenetworkswithapplicationtopowerlawfracturesizedistributions AT rlegoc onthedensityvariabilityofpoissoniandiscretefracturenetworkswithapplicationtopowerlawfracturesizedistributions |