4.7 Article

A variational hydraulic fracturing model coupled to a reservoir simulator

Journal

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijrmms.2016.07.020

Keywords

Hydraulic fracturing; Numerical simulation; Variational approach; Phase field

Ask authors/readers for more resources

A variational fracture model coupled to an external reservoir simulator through variable exchange is presented. While convergence is not optimal without Jacobian matrices with which fully coupling can provide, the presented coupling scheme is versatile enough that the reservoir simulator could be easily replaced with any other simulator. A variational approach to fracture is introduced first by comparison to the classic Griffith criteria, and is then expanded to include poro-elasticity and in-situ stresses that are required in hydraulic applications. The coupled code has been tested against existing analytical solutions of fluid-driven fracture propagation. Finally, illustrative examples are shown to demonstrate that the methodology's ability to simulate multi fracture interaction with the unified approach for turning and merging fractures. (C) 2016 Elsevier Ltd. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Physics, Multidisciplinary

Fracture Diodes: Directional Asymmetry of Fracture Toughness

N. R. Brodnik, S. Brach, C. M. Long, G. Ravichandran, B. Bourdin, K. T. Faber, K. Bhattacharya

Summary: Fracture toughness of a material can be asymmetric, with the resistance of a medium to crack propagation varying depending on the direction. This can be achieved by controlling microstructure, allowing for guided crack paths to minimize loss of critical components.

PHYSICAL REVIEW LETTERS (2021)

Article Engineering, Geological

Creating Cloud-Fracture Network by Flow-induced Microfracturing in Superhot Geothermal Environments

Ryota Goto, Noriaki Watanabe, Kiyotoshi Sakaguchi, Takahiro Miura, Youqing Chen, Takuya Ishibashi, Eko Pramudyo, Francesco Parisio, Keita Yoshioka, Kengo Nakamura, Takeshi Komai, Noriyoshi Tsuchiya

Summary: Research has shown that in superhot geothermal environments, hydraulic fracturing can form a dense network of permeable fractures known as a cloud-fracture network. Experimental support for the use of the Griffith failure criterion as a plausible criterion for cloud-fracture network formation has been provided. This study provides the theoretical basis needed to establish the procedure for hydraulic fracturing in superhot EGS for the first time.

ROCK MECHANICS AND ROCK ENGINEERING (2021)

Article Environmental Sciences

GeomInt: geomechanical integrity of host and barrier rocks-experiments, models and analysis of discontinuities

Olaf Kolditz, Thomas Fischer, Thomas Fruehwirt, Uwe-Jens Goerke, Carolin Helbig, Heinz Konietzky, Jobst Massmann, Mathias Nest, Daniel Poetschke, Karsten Rink, Am Ir Sattari, Patrick Schmidt, Holger Steeb, Frank Wuttke, Keita Yoshioka, Bernhard Vowinckel, Gesa Ziefle, Thomas Nagel

Summary: This paper provides an overview of the GeomInt project conducted within the Geo:N Geosciences for Sustainability program from 2017-2020. The research concept focuses on geological discontinuities and aims to make the results more generally applicable through a generic framework. The development of models and experiments cover various fundamental fracturing mechanisms and have been demonstrated in field-scale applications.

ENVIRONMENTAL EARTH SCIENCES (2021)

Article Environmental Sciences

Numerical models of pressure-driven fluid percolation in rock salt: nucleation and propagation of flow pathways under variable stress conditions

Keita Yoshioka, Amir Sattari, Mathias Nest, Ralf-Michael Guenther, Frank Wuttke, Thomas Fischer, Thomas Nagel

Summary: The success of energy transition depends on subsurface exploitation, which can store energy dense fluids and sequester unwanted substances. However, these operations can cause changes in subsurface pressure and temperature, affecting surrounding formations. Ensuring operational safety requires maintaining subsurface integrity. This study compared three computational approaches for assessing fracturing risk without prior knowledge of crack initiation locations or propagation paths, and evaluated their predictive capabilities against percolation experiments on rock salt.

ENVIRONMENTAL EARTH SCIENCES (2022)

Article Energy & Fuels

Phase-field modeling of wormhole formation and growth in carbonate matrix acidizing

K. Furui, T. Abe, T. Watanabe, K. Yoshioka

Summary: Fluid flow in geologic formations can lead to the formation of wormholes, which are dendritic patterns formed by mineral dissolution. This study focuses on the process instability driven by reaction-infiltration and applies a phase-field approach to simulate wormhole formation. The results show that the model is capable of accurately predicting the growth patterns of wormholes.

JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING (2022)

Article Energy & Fuels

Wellbore stability in high-temperature granite under true triaxial stress

Ryota Goto, Kiyotoshi Sakaguchi, Francesco Parisio, Keita Yoshioka, Eko Pramudyo, Noriaki Watanabe

Summary: The success of supercritical/superhot geothermal energy production relies on successful drilling. This study investigates wellbore stability in supercritical environments and finds that wellbore failure occurs at stress states consistent with existing brittle failure criterion at the studied temperatures. Shear failure propagation is suppressed at high temperatures, making it difficult to estimate in situ stress using breakout geometry. However, boreholes may be inherently stable in high-temperature environments.

GEOTHERMICS (2022)

Article Materials Science, Multidisciplinary

On the loss of symmetry in toughness dominated hydraulic fractures

Erwan Tanne, Blaise Bourdin, Keita Yoshioka

Summary: The process of hydraulic fracturing typically generates asymmetric crack growth in toughness dominated conditions, rather than as a result of material heterogeneities. This challenges the common assumption of symmetrical growth in hydraulic fractures and suggests another source of instability beyond material heterogeneity.

INTERNATIONAL JOURNAL OF FRACTURE (2022)

Article Computer Science, Interdisciplinary Applications

Optimal design of responsive structures

Andrew Akerson, Blaise Bourdin, Kaushik Bhattacharya

Summary: With recent advances in responsive materials and fabrication techniques, integrated functional structures composed of structural and active materials can now be constructed. This study investigates the robust design of such structures through topology optimization, exploring different objective functions and their resulting designs.

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2022)

Article Computer Science, Interdisciplinary Applications

Minimum compliance with obstacle constraints: an active set approach

Nha Van Tran, Blaise Bourdin

Summary: We propose a new approach to optimal design with state constraints based on active set optimization theory, and implement it using a phase-field model. Our main objective is to minimize the compliance subject to inner and outer obstacles. We compare our approach to a classical penalization method and investigate the influence of initial guess, penalization parameters, and discretization.

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2022)

Article Engineering, Geological

Phase-Field Modelling of Interactions Between Hydraulic Fractures and Natural Fractures

Xiaoxuan Li, Hannes Hofmann, Keita Yoshioka, Yongjiang Luo, Yunpei Liang

Summary: Hydraulic fracturing is a widely used technique in unconventional reservoirs. The interactions between hydraulic fracture and natural fracture can have a significant impact on the fracture patterns and subsequent productivity. In this study, a phase-field model is used to investigate the influence of in-situ stress, fracturing operational parameters, and natural fracture orientation and strength on the fracture propagation path. The results provide insights into the mechanism behind different propagation patterns and factors affecting fracture complexity.

ROCK MECHANICS AND ROCK ENGINEERING (2022)

Article Engineering, Geological

Improving the Accuracy of Fracture Toughness Measurement in Burst Experiments

Keita Yoshioka, Yixuan Zhang, Guanyi Lu, Andrew Bunger, Jose Adachi, Blaise Bourdin

Summary: Experimental studies have shown that the fracture toughness of rocks increases with the confining pressure. The burst experiment is a widely used method to quantify this relationship. However, traditional interpretations of the critical pressure in this experiment may lead to overestimation of fracture toughness. This study proposes modifications to the experimental design to improve the consistency of results and supports the claim with acoustic emission recordings.

ROCK MECHANICS AND ROCK ENGINEERING (2023)

Article Materials Science, Multidisciplinary

Orthogonal decomposition of anisotropic constitutive models for the phase field approach to fracture

Vahid Ziaei-Rad, Mostafa Mollaali, Thomas Nagel, Olaf Kolditz, Keita Yoshioka

Summary: We propose a decomposition method for constitutive relations in the phase field approach to fracture, specifically designed for anisotropic/orthotropic materials to account for tension-compression asymmetry. This method retains the anisotropic behavior and tension-compression asymmetry in the crack response. In addition, we modify the energy release computation to accurately predict fracture propagation direction.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2023)

Article Mathematics, Interdisciplinary Applications

A DG/CR discretization for the variational phase-field approach to fracture

Frederic Marazzato, Blaise Bourdin

Summary: Variational phase-field models are commonly utilized to simulate crack evolution in brittle materials, approximating the solutions of fracture energy with smooth displacement and damage fields. This article proposes a nonconforming approximation method using discontinuous elements for displacement and elements with more isotropic gradients for damage, derived from the handling of heterogeneous diffusion problems. The robustness and versatility of the method are demonstrated through various examples.

COMPUTATIONAL MECHANICS (2023)

Article Geochemistry & Geophysics

Interactions of Hydraulic Fractures With Grain Boundary Discontinuities in the Near Wellbore Region

Keita Yoshioka, Masafumi Katou, Kohei Tamura, Yutaro Arima, Yoshiharu Ito, Youqing Chen, Tsuyoshi Ishida

Summary: Hydraulic fractures often interact with preexisting discontinuities in the rock mass, and the criteria for fracture penetration or deflection are typically based on the in situ stress and the characteristics of the discontinuities. However, experiments on carbonate rocks show that fractures more frequently deflect at grain boundaries as they propagate farther from the wellbore, which is not explained by the conventional criteria. Our study demonstrates that the energy dissipation of a deflecting fracture increases with the distance from the wellbore, making it energetically more favorable for a fracture to deflect at a discontinuity. This highlights the importance of energetic stability analysis for determining fracture paths.

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH (2023)

No Data Available