A Closed-Form Analytical Solution for Circular Opening in Rocks Using Drucker–Prager Criterion

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

doi:10.1007/s40098-019-00358-6

Cited by 21 publications

(10 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The concept of an “anisotropic coefficient” was proposed by Singh 37 , to determine anisotropic rock strength quantitatively. It is the ratio between the maximum and minimum compressive strengths at bedding angle = 0° or 90°.…”

Section: Discussionmentioning

confidence: 99%

“…When the initial confining pressure was 10 MPa, the anisotropy coefficients of elastic modulus, deformation modulus and compressive strength were decreased to 1.24, 1.31 and 1.17, respectively. Then the decreasing trend of anisotropy gradually slowed down, which generally belongs to low anisotropy 37 . When the confining pressure increased gradually, the influence of weak bedding plane on the anisotropy of compressive strength of rock samples decreased gradually, mainly because the confining pressure had a good compaction effect on the weak bedding plane.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental study on anisotropic unloading mechanical behavior of bedded sandstone

Fang,

Deng,

Wang

et al. 2023

Sci Rep

View full text Add to dashboard Cite

Sandstone is a kind of bedded rock mass commonly used in engineering. The deformation and strength of bedded sandstone impose some problems during excavation. In this study, triaxial unloading tests were conducted on rock specimens (considering seven different bedding angles (β)). The results revealed the following key points: (1) At a constant confining pressure, the elastic modulus was gradually increasing when the bedding angle increased. Furthermore, after initial decreasing, the deformation modulus was increased and had a U-shaped distribution. (2) During the unloading of the axial compression, the rate of axial strain variations was initially increased and then decreased while the bedding angle increased (it has exhibited an inverted U-shaped distribution). However, the peak strength, cohesion, and angle of internal friction of rock specimens showed an initial decreasing and then increasing trend. (3) During the loading and unloading stages, the confining pressure reduces the anisotropy of bedded rock masses. (4) In the triaxial unloading test, the failure of rock specimens can be classified into four modes. When there was a large intersection angle between the bedding plane and the unloading direction, failure developed at the bedding planes.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Experimental study on anisotropic unloading mechanical behavior of bedded sandstone

Fang,

Deng,

Wang

et al. 2023

Sci Rep

View full text Add to dashboard Cite

show abstract

“…The relationship between the UCS and bedding angle of TIR: (a) phyllite [1,[46][47][48][49], (b) schist [50][51][52][53][54], (c) shale [35,52,53,[55][56][57][58], (d) sandstone [53,[59][60][61][62], (e) slate [46,63,64], (f) gneiss [52,65], limestone [53], orthoquartzie [46], travertine [49], and siltstone [59].…”

Section: Figurementioning

confidence: 99%

A Review of Mechanical Properties and Rockburst Investigation of Transversely Isotropic Rocks by Experimental Technique

Luo

2023

Materials

View full text Add to dashboard Cite

Under complex geostress caused by long-term geological evolution, approximately parallel bedding structures are normally created in rocks due to sedimentation or metamorphism. This type of rock is known as transversely isotropic rock (TIR). Due to the existence of bedding planes, the mechanical properties of TIR are quite different from those of relatively homogeneous rocks. The purpose of this review is to discuss the research progress into the mechanical properties and failure characteristics of TIR and to explore the influence of the bedding structure on the rockburst characteristics of the surrounding rocks. First, the P-wave velocity characteristics of the TIR is summarized, followed by the mechanical properties (e.g., the uniaxial compressive strength, the triaxial compressive strength, and tensile strength) and the related failure characteristics of the TIR. The strength criteria of the TIR under triaxial compression are also summarized in this section. Second, the research progress of the rockburst tests on the TIR is reviewed. Finally, six prospects for the study of the transversely isotropic rock are presented: (1) measuring the Brazilian tensile strength of the TIR; (2) establishing the strength criteria for the TIR; (3) revealing the influence mechanism of the mineral particles between the bedding planes on rock failure from the microscopic point of view; (4) investigating the mechanical properties of the TIR in complex environments; (5) experimentally investigating the rockburst of the TIR under the stress path of “the three-dimensional high stress + internal unloading + dynamic disturbance”; and (6) studying the influence of the bedding angle, thickness, and number on the rockburst proneness of the TIR. Finally, some conclusions are summarized.

show abstract

“…Details on the historical development can be found in Brown et al 14 and Singh 15 . Chen and Abousleiman, 16–18 and Singh et al 19–22 among others showed the way to implement a complex yield‐surface‐based model in semi‐analytical and analytical schemes. Most of the uncoupled analytical and semi‐analytical studies, however, focus only on the changes in stress and strain due to borehole construction under the condition of complete drainage.…”

Section: Introductionmentioning

confidence: 99%

Time‐resolved model for geothermal engineering in high porosity Slochteren sandstone

Singh

Fokker

2021

Num Anal Meth Geomechanics

Self Cite

View full text Add to dashboard Cite

This work is an extension of the time‐resolved poro‐elasto‐plastic Mohr‐Coulomb model by Fokker et al to include a more realistic constitutive model. Experiments on Slochteren sandstone revealed that the inelastic deformation contributes significantly in compressive deformation almost in all stages of loading and instigated the development of a Cam‐Clay‐like model to reproduce the Slochteren sandstone behavior. This model was adopted for the current extension. A typical behavior of this model is that the presence of a borehole causes both elastic and inelastic deformation everywhere in the reservoir, as opposed to the conventional philosophy with plastic and elastic zones. Our solution handles the spatial and temporal evolution of pressures, permeability, elastic and plastic properties under the assumption of symmetric loading. The applicability of the approach is demonstrated through a number of cases, like fluid injection, shut‐in, production, stimulation, and an injection‐production sequence.

show abstract

A Closed-Form Analytical Solution for Circular Opening in Rocks Using Drucker–Prager Criterion

Cited by 21 publications

References 49 publications

Experimental study on anisotropic unloading mechanical behavior of bedded sandstone

Experimental study on anisotropic unloading mechanical behavior of bedded sandstone

A Review of Mechanical Properties and Rockburst Investigation of Transversely Isotropic Rocks by Experimental Technique

Time‐resolved model for geothermal engineering in high porosity Slochteren sandstone

Contact Info

Product

Resources

About