Borehole Failure Mechanisms in Naturally Fractured Formations

Weijermars, Ruud; Wang, Jihoon; Pham, Tri

doi:10.1007/s00603-021-02678-7

Cited by 13 publications

(7 citation statements)

References 43 publications

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“…Therefore, here we explore both the rate‐independent and weakly rate dependent limits during the coseismic periods and allow for a stronger viscous response at lower slip rates. Specifically, we assume a pseudo shear‐rate thinning rheology (Weijermars, 1997) where we use adaptive relaxation during aseismic slow deformation (low strain rate) allowing viscosity to increase as the peak slip rate decreases while keeping the intended relaxation time fixed during coseismic deformation (high strain rate). The complexity in seismicity pattern is also found to be qualitatively similar when we use fixed relaxation time throughout aseismic and coseismic deformation.…”

Section: Resultsmentioning

confidence: 99%

Spatio‐Temporal Clustering of Seismicity Enabled by Off‐Fault Plasticity

Mia

Abdelmeguid

Elbanna

2022

Geophysical Research Letters

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Earthquakes are a prime example of a complex natural processes with far-from-equilibrium strongly nonlinear dynamics, having substantial societal and economic relevance for large populations worldwide. The lack of quantitative data on timescales capturing multiple large earthquake cycles is a long-standing challenge (Bemis et al., 2021;Scharer & Yule, 2020). Physics-based simulations provide a path to complement the lack of data and to elucidate multi-scale dynamics and spatio-temporal patterns that extend the knowledge beyond sporadic case studies and regional statistical laws (

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Section: Resultsmentioning

confidence: 99%

Spatio‐Temporal Clustering of Seismicity Enabled by Off‐Fault Plasticity

Mia

Abdelmeguid

Elbanna

2022

Geophysical Research Letters

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“…The 11-hole problem in ref. [28], solved by them with a system of linear algebraic equations using a complex boundary integral method based on truncated Fourier series, was closely matched with an LSM solution [29]. We are well aware that LSM solutions for arbitrarily placed holes would be only asymptotically correct, due to hole patterns lacking symmetry.…”

Section: Multi-hole Problemsmentioning

confidence: 92%

“…The accuracy of the LSM-based solutions was benchmarked in prior studies [3,29], against results from independent solution methods (e.g., [28]), with excellent matches. Here we benchmark LSM in a multi-hole solution against the independent numerical solution for the tangential stress concentrations in the rim of a 5-hole problem by Yi et al [11].…”

Section: Case 2-2: Numerical Benchmark; Solution Pathsmentioning

confidence: 99%

Asymptotic Solutions for Multi-Hole Problems: Plane Strain versus Plane Stress Boundary Conditions in Borehole Applications

Alotaibi¹,

Weijermars²

2022

Drilling Engineering and Technology - Recent Advances New Perspectives and Applications

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The elastic response of circular cylindrical holes in elastic plates is analyzed using the linear superposition method (LSM) to assess the impact of plate thickness on the stress state for the thin- and thick-plate solutions. Analytical solutions for stress accumulations near holes in elastic plates are relevant for a wide range of practical applications. For example, detailed analyses of the stress concentrations near boreholes piercing rock formations are needed during drilling operations to avoid premature fracturing due to tensile and shear failure. Stress concentrations near tiny holes in very thick plates approach the solution of a plane strain boundary condition; for large holes in very thin plates, the solution of a plane stress boundary condition will apply. For most practical cases, the response will be intermediate between the plane stress and plane strain end members, depending on the relative dimensions of the thickness of the elastic volume penetrated and the hole diameter. A nondimensional scaling parameter is introduced to quantify for which hole radius to plate thickness ratio occurs the transition between the two types of solutions (plane strain versus plane stress). Moreover, in this study, we consider the case of the presence of the internal pressure load in the analysis of the stress concentrations near boreholes. This consideration is important to carefully assess the magnitude of the elastic stress concentrations and their orientation near the hole in the rock formation when the pressure load of the mud is added to the borehole during drilling operations. For holes subjected to an internal pressure only, there is no difference between the plane stress (thin-plate solution) and plane strain solutions (thick-plate solutions). For cases with far-field stress, the plane strain solution is more sensitive to the Poisson’s ratio than the plane stress solution. Multi-hole problems are also evaluated with LSM and the results are benchmarked against known solutions of different methods.

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“…Starting from the viscosity of the model Lower Crust η LC ≈ 1.6 × 10 5 Pa s (calculated for the PDMS‐corundum mixture following the procedure in Maestrelli et al. [2020]) and from the velocity of extension applied to the reference plate MP1 (10 mm/hr), a natural viscosity range for the lower continental crust of 10 22 –10 23 Pa s (e.g., Weijermars, 1997) corresponds to a calculated natural extension rate of V n ≈ 1.1–11 mm yr −1 , which is a plausible range for extension velocity at RRR junctions.…”

Section: Methodology and Modeling Strategymentioning

confidence: 99%

Analog and Numerical Modeling of Rift‐Rift‐Rift Triple Junctions

et al. 2022

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Triple junctions involve the movement of three tectonic plates, and therefore represent one of the most challenging settings to understand deformation processes (e.g., Kleinrock & Morgan, 1988;McKenzie & Morgan, 1969;Patriat & Courtillot, 1984). McKenzie and Morgan (1969) identified 16 possible cases of triple junctions, among which the only stable case for all velocity conditions is the extensional Ridge-Ridge-Ridge triple junction (RRR), in which the three plates move away from each other. For this reason, RRR junctions can be preserved independent of the individual extension directions, and therefore they may exhibit symmetrical settings (with rift branches at 120°) as well as extremely asymmetric geometries.

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Borehole Failure Mechanisms in Naturally Fractured Formations

Cited by 13 publications

References 43 publications

Spatio‐Temporal Clustering of Seismicity Enabled by Off‐Fault Plasticity

Spatio‐Temporal Clustering of Seismicity Enabled by Off‐Fault Plasticity

Asymptotic Solutions for Multi-Hole Problems: Plane Strain versus Plane Stress Boundary Conditions in Borehole Applications

Analog and Numerical Modeling of Rift‐Rift‐Rift Triple Junctions

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