Enhanced double-mechanism creep laws for salt rocks

Firme, Pedro A.L.P.; Brandão, Nuno Bandarrinha; Roehl, Deane; Romanel, Celso

doi:10.1007/s11440-018-0689-7

Cited by 28 publications

(10 citation statements)

References 8 publications

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“…The in‐plane shear component of the second‐order tensor η i is equal to the accumulated chemical shear strain γ c .

{\overset{γ}{true}}_{c}

can be thought of as a viscoplastic strain rate

{\overset{ɛ}{true}}^{v p}

, similar to the viscoplastic strain rate used in other models 39‐41 . For example, Duvaut and Lions suggested that

{\overset{ɛ}{true}}^{v p}

should be a function of local stress, local stiffness, and the relaxation time 42 .…”

Section: Homogenization Scheme: From Local Sliding To Rate‐dependent mentioning

confidence: 98%

Micromechanical modeling for rate‐dependent behavior of salt rock under cyclic loading

Shen

Ding

Arson

et al. 2020

Num Anal Meth Geomechanics

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show abstract

“…The in‐plane shear component of the second‐order tensor η i is equal to the accumulated chemical shear strain γ c .

{\overset{γ}{true}}_{c}

can be thought of as a viscoplastic strain rate

{\overset{ɛ}{true}}^{v p}

, similar to the viscoplastic strain rate used in other models 39‐41 . For example, Duvaut and Lions suggested that

{\overset{ɛ}{true}}^{v p}

should be a function of local stress, local stiffness, and the relaxation time 42 .…”

Section: Homogenization Scheme: From Local Sliding To Rate‐dependent mentioning

confidence: 98%

Micromechanical modeling for rate‐dependent behavior of salt rock under cyclic loading

Shen

Ding

Arson

et al. 2020

Num Anal Meth Geomechanics

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show abstract

“…The viscoplastic strain increment can be obtained through Equation (19). And the viscoelastic-viscoplastic constitutive model established in this study can be determined through Equation ( 10)- (22). The calculation process follows traditional discrete integral method, while evolution relationship of change rate of viscoplasticity is solved by the Euler difference method.…”

Section: Theoretical Analysis Of the Viscoelastic-viscoplastic Constitutive Modelmentioning

confidence: 99%

“…Li [21] used shear creep test to study creep characteristics of the artificial concealed non-penetrating structural model, he constructed and verified the applicable creep damage constitutive model, which has practical significance for the long-term stability study of rock slope. Firme [22] optimized the DM creep model to express transient creep, it was found that optimized model obtained ideal results in handling transient creep and simulation experimental results after verification. R. J. Hickman [23] proposed a rate-dependent constitutive model that could predict the change of axial yield stress with the power function of applied axial strain rate, which was able to reproduce rate-dependent behavior of porous rocks under various loading conditions.…”

Section: Introductionmentioning

confidence: 99%

Study on Creep Constitutive Model of Stratified Siltstone and its Application to Environmental Hazards Treatment

Yang

Lai

Luo

et al. 2021

Preprint

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Mining causes environmental hazards which have an adverse effect on ecological system and human living environment. Rock is the main body of underground coal mining, and among them stratified siltstone is very common. Creep and instability of underground stratified siltstone is one of the main inducing factors of ground fissures and ground surface settlement. In this study, on the basis of fully considering its stratified structure features, we built and theoretically analyzed the viscoelastic-viscoplastic constitutive model of stratified siltstone. Creep tests and numerical simulation under multi-stress were conducted. Numerical simulation results under high, medium and low stress were consistent with the creep test results, it made up for the deficiency of traditional creep models in predicting plastic deformation at low stress level. Numerical simulation results showed that under different boundary conditions, the proposed model had advantage to more accurately simulate creep behavior of stratified siltstone compared with traditional models. Also, the numerical simulation results reveled creep characteristics of underground roadway surrounding rock, based on which a supporting scheme was put forward. In the stress adjustment stage, the strain rate dropped significantly from 14.6mm/d to 10.3mm/d. Then, it entered the deceleration creep stage. Creep of roadway surrounding rock and ground surface settlement stopped. The environmental hazards were solved to a great extent.

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“…Those deformations can cause the collapse of infrastructure elements. In geomechanics, predicting creep by salt rocks is essential for planning underground excavations for nuclear‐waste repositories and storage structures for hydrocarbon reserves . Furthermore, since pre‐salt reservoirs have been found below thick salt layers, the petroleum industry has been dealing with problems related to well stability during drilling through salt rocks .…”

Section: Introductionmentioning

confidence: 99%

“…In geomechanics, predicting creep by salt rocks is essential for planning underground excavations for nuclear-waste repositories and storage structures for hydrocarbon reserves. [6][7][8][9] Furthermore, since pre-salt reservoirs have been found below thick salt layers, the petroleum industry has been dealing with problems related to well stability during drilling through salt rocks. [10][11][12] In those situations, salt removal causes relief and redistribution of stresses around the drilled cavities triggering strain energy that dissipates along time with closure motions.…”

Section: Introductionmentioning

confidence: 99%

Integration schemes with substepping algorithms for creep analysis in geomaterials

Quevedo

Firme

Roehl

2019

Num Anal Meth Geomechanics

Self Cite

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Summary This paper describes a robust and efficient methodology for predicting displacements, deformations, and stresses in geomaterials that are susceptible to creep. The methodology is based on two integration schemes, which consider substepping algorithms. The first scheme is used for integrating space‐time relations in a global sense, whereas the second scheme is used for integrating stress‐stain relations in a local sense. Different from previous studies, both integration schemes are easy to implement and general in the sense that they can be applied to any type of creep law. Through an in‐house finite element simulator, several numerical tests are performed. They include triaxial and wellbore closure analyses considering soft soils and salt rocks. The results show that the combination of both schemes leads to stable and accurate solutions with reduced computational time.

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Enhanced double-mechanism creep laws for salt rocks

Cited by 28 publications

References 8 publications

Micromechanical modeling for rate‐dependent behavior of salt rock under cyclic loading

Micromechanical modeling for rate‐dependent behavior of salt rock under cyclic loading

Study on Creep Constitutive Model of Stratified Siltstone and its Application to Environmental Hazards Treatment

Integration schemes with substepping algorithms for creep analysis in geomaterials

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