A nonlinear criterion for triaxial strength of inherently anisotropic rocks

Singh, Mahendra; Samadhiya, N. K.; Kumar, Amresh; Kumar, Vivek; Singh, B.

doi:10.1007/s00603-015-0708-z

Cited by 101 publications

(37 citation statements)

References 19 publications

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“…We take five sets of triaxial and uniaxial compression data from the database mentioned in Section 2.4 for example to calculate the parameter . These experimental data are respectively collected from the tests on dry phyllite, dry orthoquartzite, dry slate [35], chlorite schist, and biotite schist [36].…”

Section: Parabolic Criterion For Transversely Isotropic Rockmentioning

confidence: 99%

“…Database. Abundant experimental data including 358 triaxial and 88 uniaxial compression tests corresponding to 12 types of rocks are collected from published articles [35][36][37] to investigate the performance of the proposed criterion and characteristics parameters. As shown in Figure 1, all of the rocks are processed for cylindrical specimens with different bedding angles.…”

Section: Introductionmentioning

confidence: 99%

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A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification

Wang

Tang

Shen

et al. 2019

Mathematical Problems in Engineering

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It is of great significance to develop a failure criterion that can describe the orientation-dependent behavior of transversely isotropic rocks. This paper presents a simplified parabolic model that is successful in predicting the strengths of rocks under different confining pressures and bedding angles. The model is a modified version of the normal parabolic criterion for intact rocks. The two orientation-dependent parameters (σcβ and kβ) in the model show trigonometric relationships with the bedding angle, and they can be readily determined through uniaxial and triaxial compression tests. The shape of the failure envelope is determined by kβ, and σcβ only affects the level of rock strength. With application to 446 experimental data, the predicting results by the parabolic criterion are highly consistent with the experimental data, and the predictive capacity of the proposed criterion is better than those of the McLamore-Gray and Tien-Kuo criteria. Besides, the prediction errors for the high confining pressure condition and the bedding-sliding failure mode are smaller than those for the low confining pressure and the non-bedding-sliding failure. Moreover, the prediction error almost remains steady with the decrease of data set, indicating that the proposed criterion is of high precision even if the experimental data are limited.

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Section: Parabolic Criterion For Transversely Isotropic Rockmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification

Wang

Tang

Shen

et al. 2019

Mathematical Problems in Engineering

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“…R-square (R 2 ) and average absolute relative error percentage (AAREP) were utilized to estimate the proposed model. AAREP is defined as [31,32],…”

Section: Verification Of the Model On Simulated Production Datasetmentioning

confidence: 99%

An Analytical Model for Capturing the Decline of Fracture Conductivity in the Tuscaloosa Marine Shale Trend from Production Data

2019

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Fracture conductivity decline is a concern in the Tuscaloosa Marine Shale (TMS) wells due to the high content of clay in the shale. An analytical well productivity model was developed in this study considering the pressure-dependent conductivity of hydraulic fractures. The log-log diagnostic approach was used to identify the boundary-dominated flow regime rather than the linear flow regime. Case studies of seven TMS wells indicated that the proposed model allows approximation of the field data with good accuracy. Production data analyses with the model revealed that the pressure-dependent fracture conductivity in the TMS in the Mississippi section declines following a logarithmic mode, with dimensionless coefficient χ varying between 0.116 and 0.130. The pressure-dependent decline of fracture conductivity in the transient flow period is more significant than that in the boundary-dominated flow period.

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“…With the development of economy, a large number of rock projects are emerging. To guarantee the safety of these projects, it is very important to study the mechanical properties of rock (Singh, et al 2015 ; Nadimi et al 2011 ; Wang et al 2014 ; Yang et al 2015 ; Nadimi and Shahriar 2014 ; Chen et al 2016a , b ; Lai et al 2016 ), which as a kind of natural geological material contains many flaws (for instance, joints, micro cracks, faults, etc.). The existence of these flaws complicates the mechanical behavior of rock.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation and constitutive model for lime mudstone

et al. 2016

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In order to investigate the mechanical properties of lime mudstone, conventional triaxial compression tests under different confining pressures (0, 5, 15 and 20 MPa) are performed on lime mudstone samples. The test results show that, from the overall perspective of variation law, the axial peak stress, axial peak strain and elastic modulus of lime mudstone tend to gradually increase with increasing confining pressure. In the range of tested confining pressure, the variations in axial peak stress and elastic modulus with confining pressure can be described with linear functions; while the variation in axial peak strain with confining pressure can be reflected with a power function. To describe the axial stress–strain behavior in failure process of lime mudstone, a new constitutive model is proposed, with the model characteristics analyzed and the parameter determination method put forward. Compared with Wang’ model, only one parameter n is added to the new model. The comparison of predicted curves from the model and test data indicates that the new model can preferably simulate the strain softening property of lime mudstone and the axial stress–strain response in rock failure process.

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A nonlinear criterion for triaxial strength of inherently anisotropic rocks

Cited by 101 publications

References 19 publications

A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification

A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification

An Analytical Model for Capturing the Decline of Fracture Conductivity in the Tuscaloosa Marine Shale Trend from Production Data

Experimental investigation and constitutive model for lime mudstone

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