The effect of multiple contacts between crack faces on crack contribution to the effective elastic properties

Markov, A.; Abaimov, Sergey G.; Sevostianov, Igor; Kachanov, Mark; Kanaun, S. K.; Akhatov, Iskander

doi:10.1016/j.ijsolstr.2018.12.021

Cited by 15 publications

(9 citation statements)

References 19 publications

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“…For a penny-shaped crack under the uniform pressure p 0 it is well-known that 47) and (48) against the numerical results of [6].…”

Section: Sifmentioning

confidence: 90%

“…A particular focus has been made on the study of the compliance and resistivity contribution tensors that characterize penny-shaped cracks with a single partial contact of circular form. Very recently, the effect of multiple contacts between the faces of a penny-shaped crack was investigated numerically in [6], using the methodology developed in [7]. A particular emphasis of their paper is on the compliance contribution tensor in the case of regular lattices of circular contacts.…”

Section: Introductionmentioning

confidence: 99%

“…In Section 3.2, we present an asymptotic approximation for the stress-intensity factor (SIF) of the islanded penny-shaped crack. In Section 3.3, following [10], the compliance reduction factor is introduced, for which we derive simple explicit approximations, whose accuracy has been rested by comparison with the numerical results of [6]. Finally, in Section 4, we outline a discussion of the obtained analytical results and formulate a scaling hypothesis for the compliance reduction factor.…”

Section: Introductionmentioning

confidence: 99%

“…Figure 2. Compliance reduction factor as a function of the controlling parameter based on the numerical results of[6].…”

mentioning

confidence: 99%

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A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model

Argatov

2021

Mathematics and Mechanics of Solids

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The problem of a mode I crack having multiple contacts between the crack faces is considered. In the case of small contact islands of arbitrary shapes, which are arbitrarily located inside the crack, the first-order asymptotic model for the crack opening displacement is constructed using the method of matched asymptotic expansions. The case of a penny-shaped crack has been studied in detail. A scaling hypothesis for the compliance reduction factor is formulated.

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“…For a penny-shaped crack under the uniform pressure p 0 it is well-known that 47) and (48) against the numerical results of [6].…”

Section: Sifmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Figure 2. Compliance reduction factor as a function of the controlling parameter based on the numerical results of[6].…”

mentioning

confidence: 99%

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A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model

Argatov

2021

Mathematics and Mechanics of Solids

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“…CC BY 4.0 License. that the islands of contacts inside a crack significantly reduce crack compliance (a crack with contact areas is stiffer compared to the same crack but without contacts (Trofimov et al, 2017;Kachanov and Sevostianov, 2018;Markov et al, 2019;Lissa et al, 2019)). Comparing eq.…”

Section: Dry Stiffness Modulimentioning

confidence: 99%

Azimuth-, angle- and frequency-dependent seismic velocities of cracked rocks due to squirt flow

Alkhimenkov¹,

Caspari²,

Lissa³

et al. 2019

Preprint

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Abstract. Understanding the properties of cracked rocks is of great importance in scenarios involving CO2 geological sequestration, nuclear waste disposal, geothermal energy, and hydrocarbon exploration and production. Developing non-invasive detecting and monitoring methods for such geological formations is crucial. Many studies show that seismic waves exhibit strong dispersion and attenuation across a broad frequency range due to fluid flow at the pore scale known as squirt flow. Nevertheless, how and to what extent squirt flow affects seismic waves is still a matter of investigation. To fully understand its angle- and frequency-dependent behavior for specific geometries appropriate numerical simulations are needed. We perform a three-dimensional numerical study of the fluid-solid deformation at the pore scale based on coupled Lame-Navier and Navier-Stokes linear quasistatic equations. We show that seismic wave velocities exhibit strong azimuth-, angle- and frequency-dependent behavior due to squirt flow between interconnected cracks. We show that the overall anisotropy of a medium mainly increases due to squirt flow but in some specific planes the anisotropy can locally decrease. We analyze the Thomsen-type anisotropic parameters and adopt another scalar parameter which can be used to measure the anisotropy strength of a model with any elastic symmetry. This work significantly clarifies the impact of squirt flow on seismic wave anisotropy in three dimensions and can potentially be used to improve the geophysical monitoring and surveying of fluid-filled cracked porous zones in the subsurface.

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Effect of Stress on Fracture Transmissivity

2023

Fluid Flow in Fractured Rocks

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The effect of multiple contacts between crack faces on crack contribution to the effective elastic properties

Cited by 15 publications

References 19 publications

A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model

A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model

Azimuth-, angle- and frequency-dependent seismic velocities of cracked rocks due to squirt flow

Effect of Stress on Fracture Transmissivity

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