Nonlinear elastodynamic behavior of intact and fractured rock under in-situ stress and saturation conditions

Manogharan, Prabhakaran; Wood, Clay; Marone, Chris; Elsworth, Derek; Rivière, Jacques; Shokouhi, Parisa

doi:10.1016/j.jmps.2021.104491

Cited by 18 publications

(14 citation statements)

References 57 publications

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“…In Figure 4f, we compare the frequency‐dependent AD in model L with the measurements by Manogharan et al. (2021) using the model parameters in Table D1. The rectangles show the AD measured by Manogharan et al.…”

Section: Resultsmentioning

confidence: 99%

“…Before looking into details of the results, we first justify the validity of assuming the sample in DAET as an oscillator under the used loading frequencies. The shortest wavelength of P-wave in their rock sample is around 4,165 m/s/10 Hz ≈ 416.5 m (Manogharan et al, 2021). This is still much larger than the length of the sample, which is 26 mm in the direction of loading.…”

Section: Appendix A: Analytical Analysis Of Model L A1 Analytical Int...mentioning

confidence: 91%

“…In Figure 4f, we compare the frequency-dependent AD in model L with the measurements by Manogharan et al (2021) using the model parameters in Table D1. The rectangles show the AD measured by Manogharan et al (2021) in their Figure 8g for 5 different amplitudes and 3 frequencies (0.1 Hz in purple, 1 Hz in red, and 10 Hz in yellow). The colored dots with error bars show the results from model L with parameters shown in Table D1.…”

Section: Amplitude-and Frequency-dependent Damagementioning

confidence: 99%

“…While it is commonly assumed that transient fluid effects are key to the observed velocity drop (Brenguier et al., 2014; Illien et al., 2022), Manogharan et al. (2021, 2022) find that a velocity drop during dynamic perturbations of fractured fluid‐saturated rocks is not more significant than that of fractured dry rocks.…”

Section: Introductionmentioning

confidence: 99%

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Modeling and Quantifying Parameter Uncertainty of Co‐Seismic Non‐Classical Nonlinearity in Rocks

Niu,

Gabriel,

Seelinger

et al. 2024

JGR Solid Earth

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Dynamic perturbations reveal unconventional nonlinear behavior in rocks, as evidenced by field and laboratory studies. During the passage of seismic waves, rocks exhibit a decrease in elastic moduli, slowly recovering after. Yet, comprehensive physical models describing these moduli alterations remain sparse and insufficiently validated against observations. Here, we demonstrate the applicability of two physical damage models—the internal variable model (IVM) and the continuum damage model (CDM)—to provide quantitative descriptions of nonlinear co‐seismic elastic wave propagation observations. While the IVM uses one internal variable to describe the evolution of elastic material moduli, the CDM damage variable is a mathematical representation of microscopic defects. We recast the IVM and CDM models as nonlinear hyperbolic partial differential equations and implement 1D and 2D numerical simulations using an arbitrary high‐order discontinuous Galerkin method. We verify the modeling results with co‐propagating acousto‐elastic experimental measurements. Subsequently, we infer the parameters for these nonlinear models from laboratory experiments using probabilistic Bayesian inversion and 2D simulations. By adopting the Adaptive Metropolis Markov chain Monte Carlo method, we quantify the uncertainties of inferred parameters for both physical models, investigating their interplay in 70,000 simulations. We find that the damage variables can trade off with the stress‐strain nonlinearity in discernible ways. We discuss physical interpretations of both damage models and that our CDM quantitatively captures an observed damage increase with perturbation frequency. Our results contribute to a more holistic understanding of co‐seismic damage and post‐seismic recovery after earthquakes bridging the worlds of theoretical analysis and laboratory findings.

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Section: Resultsmentioning

confidence: 99%

Section: Appendix A: Analytical Analysis Of Model L A1 Analytical Int...mentioning

confidence: 91%

Section: Amplitude-and Frequency-dependent Damagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling and Quantifying Parameter Uncertainty of Co‐Seismic Non‐Classical Nonlinearity in Rocks

Niu,

Gabriel,

Seelinger

et al. 2024

JGR Solid Earth

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“…Nonlinear elastic effects arise in solids due to the presence of imperfections at the micro/mesoscopic scale, such as cracks or dislocations (Guyer & Johnson, 2009; Ostrovsky & Johnson, 2001). Understanding the origins of these nonlinear elastic effects is critical to numerous fields, from geophysics (Abeele et al., 2002; Delorey et al., 2021; Feng et al., 2018, 2022; Guyer & Johnson, 2009; Hillers et al., 2015; Johnson & Sutin, 2005; Johnson et al., 2004; Manogharan et al., 2021; McCall & Guyer, 1994; Pimienta et al., 2014; Renaud et al., 2012; Shokouhi et al., 2020; Tadavani et al., 2020; TenCate et al., 1996, 2016) and civil engineering (Abeele & De Visscher, 2000; Astorga et al., 2018; Bittner & Popovics, 2022; Kim et al., 2017; Lacouture et al., 2003; Payan et al., 2014; Shokouhi et al., 2017) to the non‐destructive evaluation of materials (Breazeale & Ford, 1965; Buck et al., 1978; Jin et al., 2020; Kim et al., 2006; Matlack et al., 2015; Williams et al., 2022). Elastic nonlinearity is particularly large in poorly consolidated or unconsolidated materials, where it arises from weak junctions between grains (Brunet et al., 2008; Guyer & Johnson, 1999, 2009; Jia et al., 2011; Johnson & Jia, 2005; Langlois & Jia, 2014; Renaud et al., 2012; Rivière et al., 2015; Yoritomo & Weaver, 2020a, 2020b, 2020c).…”

Section: Introductionmentioning

confidence: 99%

Effect of Grain Shape and Relative Humidity on the Nonlinear Elastic Properties of Granular Media

Gao

Shokouhi

Rivière

2023

Geophysical Research Letters

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This study focuses on unraveling the microphysical origins of the nonlinear elastic effects, which are pervasive in the Earth's crust. Here, we examine the influence of grain shape on the elastic nonlinearity of granular assemblies. We find that the elastic nonlinearity of angular sand particles is of the same order of magnitude as that previously measured in spherical glass beads. However, while the elastic nonlinearity of glass beads increases by an order of magnitude with RH that of sand particles is rather RH independent. We attribute this difference to the angularity of sand particles: absorbed water on the spherical grains weakens the junctions making them more nonlinear, while no such effect occurs in sand due to grain interlocking. Additionally, for one of the nonlinear parameters that likely arises from shearing/partial slip of the grain junctions, we observe a sharp amplitude threshold in sand which is not observed in glass beads.

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Study on constitutive model of fractured rock masses by using statistical strength theory

Chen,

Gao,

et al. 2023

Math Methods in App Sciences

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By using the basic principle of continuous damage mechanics as a reference, together with the statistical strength theory based on the Weibull distribution, a new constitutive model of fractured rock masses for deep underground engineering is proposed. In this model, a new definition of the fracture degree Ft has been proposed for the first time, which can quantitatively describe the fracturing process of a fractured rock mass. Based on the results of laboratory tests and numerical simulations for fractured rock mass specimens, the constitutive model with different fracture degrees is verified. Moreover, the applicability of two yield criteria (the Mohr–Coulomb [M‐C] and Drucker–Prager [D‐P] criteria) for describing the mesoscopic strength of rocks is analyzed. Finally, the effects of the random distribution parameters on the constitutive model are discussed in detail. The results show that the theoretical results agree well with the experimental and numerical results, and the constitutive model with the D‐P criterion is better than the model with the M‐C criterion.

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Nonlinear elastodynamic behavior of intact and fractured rock under in-situ stress and saturation conditions

Cited by 18 publications

References 57 publications

Modeling and Quantifying Parameter Uncertainty of Co‐Seismic Non‐Classical Nonlinearity in Rocks

Modeling and Quantifying Parameter Uncertainty of Co‐Seismic Non‐Classical Nonlinearity in Rocks

Effect of Grain Shape and Relative Humidity on the Nonlinear Elastic Properties of Granular Media

Study on constitutive model of fractured rock masses by using statistical strength theory

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