Study on Mohr–Coulomb-based three-dimensional strength criteria and its application in the stability analysis of vertical borehole

Singh, Aditya; Rao, K. Seshagiri; Ayothiraman, Ramanathan

doi:10.1007/s12517-019-4752-y

Cited by 9 publications

(3 citation statements)

References 30 publications

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“…1 . According to the Mohr-Coulomb criterion 48,49 , the angle between the rock damage plane and the maximum principal stress is θ ϕ =°− 45 /2 2 , where ϕ represents the angle of the internal friction of the rock, °. If the friction angle of sandstone and limestone is generally 20°~60°, then θ°> >°35 1 5 2 .…”

Section: Experimental Results a Uniaxial Compression Test Was Conducmentioning

confidence: 99%

Study of the Dynamic Development Law of Overburden Breakage on Mining Faces

Zhu

Fang

Huo

et al. 2020

Sci Rep

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Based on the geological conditions of overburden rock, the dynamic development law of overburden breakage was investigated by theoretical analysis and similarity model experiments in this paper. the formula of the compressive strength and no. ratio was obtained by testing the compressive strength of cylinder samples of similar materials. it can be seen from the overburden fracture evolution model established by theoretical calculations and similarity model experiments that the overlying rock layer's breakage law is consistent. Additionally, the height of the "three zones" and the law of the fracture angle are basically consistent. obtaining the synchronous collapse of the overlying strata controlled by the key strata, the interval of the upper key strata is larger than that of the lower key strata, and the mining interval is approximately double the size of the deformed rock height. According to the overburden movement, the distribution law of the overburden separation rate is obtained. The strain in the stress concentration area is negative, and when the stress is released suddenly, the strain increases rapidly. Fracture development is detected by the p-wave velocity in the model. Moreover, certain guidance for the horizon selection of high and low-level gas drainage roadways is provided by this study.Coal is asignificant source of energy 1-3 , but the production process is often disastrous. It is very important for the mining face pressure control and the horizon selection of high-and low-level drainage roadways to explore the dynamic development law of overlying strata breakage. According to the traditional "three zones" theory 4-7 , when the mining face moves forward, the roof strata will hang out and then fail, forming a caving zone, a fractured zone and a bending subsidence zone. The "three zones" have their own characteristics of rock strata movement and deformation.Many research results on mine pressure and rock strata movement have been reported; among them, the key stratum theory is the mainstream theory at present [8][9][10][11][12][13] . He et al. 14 analyzed the mechanisms of mining tremors caused by key strata movement and instability. Sun et al. 15 proposed a similar hyperbolic settlement model to describe the movement and failure of internal loads. Fan and Liu 16 proposed a conceptual model of broken rock mass compaction by elastic theory. Luan et al. 17 determined that the thickness and span of key strata have a more dominant effect on the stability of key strata compared with other factors, and the increase in uncertainty levels leads toa decrease in the stability probability. Liang et al. 18 showed that in a fully mechanized mining face with a high mining height, the first subordinate key layer has two structural forms and six types of movement. Xie and Xu 19 researched the key stratum effect on the mining abutment pressure of a coal seam. Han et al. 20 presenteda method to calculate the working surface abutment pressure by key strata theory. Gao et al. 21 demonstrated that the first fractur...

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Section: Experimental Results a Uniaxial Compression Test Was Conducmentioning

confidence: 99%

Study of the Dynamic Development Law of Overburden Breakage on Mining Faces

Zhu

Fang

Huo

et al. 2020

Sci Rep

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“…The current calculation method of shaft wall rock strength is mostly based on the Mohr-Coulomb strength theory, a single shear strength theory suitable for rock and soil. However, the Mohr-Coulomb strength theory was not able to cover the influence of intermediate principal stress on rock strength, which may lead to the calculation result differing from the real situation [21][22][23][24]. Much of the research has shown that the intermediate principal stress affects the strength calculation of rock and soil [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Twin Shear Unified Strength Solution of Shale Gas Reservoir Collapse Deformation in the Process of Shale Gas Exploitation

Cui

Wang

et al. 2022

Energies

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The collapse deformation of shale has a significant influence on the exploitation process. Experimental analysis has indicated a correlation coefficient range from 0.9814 to 0.9981 and the established sample regression formula could be used to express the relationship between the dynamic elastic modulus and static elastic modulus of shale specimens. Based on the twin shear unified-strength theory, where coefficient b was considered to express the effect of intermediate principal stress, with the deduced regression formula, the unified solution of major principal strains describing a critical collapse of the shale shaft wall was derived. The results showed that the intermediate principal stress had a significant influence on the major principal strain, describing the critical collapse of the shale shaft wall. At the same depth, the critical collapse major principal strain increased with the increase in the b values. With the change in b value from 0 to 1, the calculated difference in critical collapse major principal strain with the same wellbore depth would change from 22.1% to 45.5%. With the change in b value from 0 to 1, the calculated difference in critical collapse major principal strain with the same wellbore temperature would change from 22.1% to 45.6%. The unified solution formula of the major principal strain, describing the critical collapse of the shale shaft wall expressed by the dynamic elastic modulus, could adjust the contribution of intermediate principal stress by changing the values of b, while considering the influence of temperature and confining pressure. The twin shear unified-strength solution of the shale gas reservoir collapse deformation could be used to effectively evaluate the shale gas reservoir stability during shale gas exploitation.

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“…It is very important to choose a suitable geotechnical failure criterion for different soils [ 16 ]. For example, Khanna, K et al conducted creep research by adopting the Tresca criterion for metal materials [ 17 ]; Singh, A et al conducted vertical drilling research by adopting the Mohr–Coulomb criterion for rock materials [ 18 ], and Chen, HH et al conducted anisotropy research by adopting the SMP criterion for soil materials [ 19 ]. However, the above scholars all adopted a single criterion to study the strength characteristics of a single material, but the quantitative analysis of applicability of these criteria to the real experimental results of the same soil material has never been involved.…”

Section: Introductionmentioning

confidence: 99%

Comparative Analysis of Common Strength Criteria of Soil Materials

Sun

Shao

et al. 2021

Materials

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In this paper, the common failure criteria of existing soil materials, such as the Mohr–Coulomb criterion, Drucker–Prager criterion, Lade–Duncan criterion, Matsuoka–Nakai criterion andAC-SMP criterion are systematically discussed, and the applicability of these criteria is quantitatively analyzed through the true triaxial test results of loess, so as to provide reference for the accurate selection of specific criteria in engineering practice. The failure criteria are classified from several aspects, such as whether the influence of the intermediate principal stress and the change of spatial moving plane are considered, analyzed and discussed, respectively. According to the true triaxial test results of undisturbed loess, the difference of strength criterion between the three-dimensional failure plane and p-q plane is analyzed, and based on the true triaxial test data of undisturbed loess, the error analysis of each failure criterion is carried out. The results show that the AC-SMP criterion is in good agreement with the test results, and can accurately evaluate the true triaxial test of loess. For different soil materials or different stress states, it is necessary to select appropriate failure criteria. This study shows how to choose the corresponding failure criterion under specific circumstances, so as to better satisfy the theory and practice and provide reference for engineering.

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Study on Mohr–Coulomb-based three-dimensional strength criteria and its application in the stability analysis of vertical borehole

Cited by 9 publications

References 30 publications

Study of the Dynamic Development Law of Overburden Breakage on Mining Faces

Study of the Dynamic Development Law of Overburden Breakage on Mining Faces

Twin Shear Unified Strength Solution of Shale Gas Reservoir Collapse Deformation in the Process of Shale Gas Exploitation

Comparative Analysis of Common Strength Criteria of Soil Materials

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