Laboratory validation of a new hydro-mechanical energy-based brittleness index model for hydraulic fracturing Article Swipe
YOU?
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· 2022
· Open Access
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· DOI: https://doi.org/10.31223/x55m1j
Brittleness Index (BI) is a critical parameter characterising the deformation regime of geo-materials, covering the range from purely brittle (fractures) to ductile (plastic flow). A variety of BI models have been developed based on rock properties such as mineralogy, elastic parameters, or stress-strain data. However, very few of them are based on the deformation induced by hydro-mechanical interactions emerging in a wide range of underground engineering applications. In this study, we develop a BI model based on the partitioning of the injection energy EI into non-seismic deformation energy Ed associated with hydraulic fracture propagation. To calculate the Ed, we apply a model for temporal fracturing area (Ad) within the penny-shaped fracture; we also correlate the wellbore pressure and the three-dimensional strain induced by hydraulic fracturing of the different types of rock samples subjected to true triaxial stress conditions (TTSC), either σv = 6.5 MPa, σH = 3 MPa, σh = 1.5 MPa or σv = 15 MPa, σH = 10 MPa, σh = 5 MPa for all tests. As a comparison, the BI is also quantified based on the existing models: (i) acoustic measurement from Rickman et al (2008), and (ii) the Mohr-Coulomb’s criteria from Papanastasiou et al (2016). The non-seismic deformation energy Ed ranges between 32.4% and 90.6% of the total injection energy EI, which is slightly higher than reported from field-scale data (15% to 80%), and is comparable to other laboratory-derived data (18% to 94%). The results show that the predictions based on our newly proposed hydro-mechanical energy-based BI model are qualitatively consistent with Papanastasiou et al.’s, but less so with Rickman et al.’s. Our BI model is shown to be stress-dependent and capable of capturing the brittle-to-ductile behaviour within a wide range of rheological samples subjected to hydraulic fracturing. This study demonstrates that our BI model opens a new way for quantifying the brittleness index regarding to realistic propagation scenarios, showing its superior robustness for such underground applications.
Related Topics
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.31223/x55m1j
- https://eartharxiv.org/repository/object/4751/download/9481/
- OA Status
- gold
- Cited By
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- Related Works
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- OpenAlex ID
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Raw OpenAlex JSON
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https://openalex.org/W4310524182Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.31223/x55m1jDigital Object Identifier
- Title
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Laboratory validation of a new hydro-mechanical energy-based brittleness index model for hydraulic fracturingWork title
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
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2022-12-01Full publication date if available
- Authors
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Runhua Feng, Joël Sarout, J. Dautriat, Yousef Ghuwainima, Reza Rezaee, Mohammad SarmadivalehList of authors in order
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https://doi.org/10.31223/x55m1jPublisher landing page
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https://eartharxiv.org/repository/object/4751/download/9481/Direct link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://eartharxiv.org/repository/object/4751/download/9481/Direct OA link when available
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Hydraulic fracturing, Brittleness, Deformation (meteorology), Geology, Geotechnical engineering, Elastic energy, Fracture (geology), Materials science, Composite material, Thermodynamics, Physics, OceanographyTop concepts (fields/topics) attached by OpenAlex
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1Total citation count in OpenAlex
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2022: 1Per-year citation counts (last 5 years)
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74Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W4234488063, https://openalex.org/W2492145420, https://openalex.org/W3111641489, https://openalex.org/W4205281869, https://openalex.org/W3022591838, https://openalex.org/W3030163718, https://openalex.org/W2996043756, https://openalex.org/W4229071770, https://openalex.org/W2150930255, https://openalex.org/W2745794750, https://openalex.org/W4235399636, https://openalex.org/W4230133640, https://openalex.org/W2167522307, https://openalex.org/W2565574435, https://openalex.org/W4285591371, https://openalex.org/W1506101227, https://openalex.org/W6654128931, https://openalex.org/W3011850967, https://openalex.org/W644525386, https://openalex.org/W2015587009, https://openalex.org/W2089403557, https://openalex.org/W2029616746, https://openalex.org/W4206227644, https://openalex.org/W3124698147, https://openalex.org/W3007802922, https://openalex.org/W3011148874, https://openalex.org/W1514580854, https://openalex.org/W2969561334, https://openalex.org/W2083389143, https://openalex.org/W954425363, https://openalex.org/W2980487063, https://openalex.org/W2323841792, https://openalex.org/W2778989380, https://openalex.org/W4253860546, https://openalex.org/W2146588345, https://openalex.org/W2411429143, https://openalex.org/W2999229950, https://openalex.org/W3155589778, https://openalex.org/W4237066471, https://openalex.org/W2054267313, https://openalex.org/W3048363622, https://openalex.org/W2106987068, https://openalex.org/W2059846870, https://openalex.org/W2036400800, https://openalex.org/W2916067162, https://openalex.org/W2049154470, https://openalex.org/W4254745146, https://openalex.org/W1993057632, https://openalex.org/W2767048692, https://openalex.org/W1996971468, https://openalex.org/W2275398817, https://openalex.org/W3092366243, https://openalex.org/W2134066908, https://openalex.org/W3192036970, https://openalex.org/W3097321356, https://openalex.org/W3146469056, https://openalex.org/W4308155835, https://openalex.org/W2019841028, https://openalex.org/W306656148, https://openalex.org/W2548623296, https://openalex.org/W2126618056, https://openalex.org/W2021102261, https://openalex.org/W4249546589, https://openalex.org/W2034074834, https://openalex.org/W3115707164, https://openalex.org/W2651669043, https://openalex.org/W2494343957, https://openalex.org/W2078924144, https://openalex.org/W3099086413, https://openalex.org/W4249343472, https://openalex.org/W2885587448, https://openalex.org/W2608802689, https://openalex.org/W1510184633, https://openalex.org/W2001360985 |
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