Determination of the stress in rock unaffected by boreholes or drifts, from measured strains or deformations

Hiramatsu, Yoshio; Oka, Yoshikazu

doi:10.1016/0148-9062(68)90005-3

Cited by 88 publications

(17 citation statements)

References 3 publications

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“…Therefore, the previous stress coordinates have to be changed for the inclined wells [30]. Then, the borehole induced stresses for an inclined well are:…”

Section: Induced Principal Stressesmentioning

confidence: 99%

“…The Mohr-Coulomb criterion, which is one of the most common geomechanical failure criteria in the literature, is [30]: (22) where UCS represents the Uniaxial Compressive Strength of the rock and q is a parameter that depends on the friction angle, :…”

Section: -Failure Criteria Analysis For Determination Of the Breakoumentioning

confidence: 99%

“…There are various failure criteria including 2-or 3-dimensional criteria as well as the linear or nonlinear ones [5]. One of the earliest failure criteria was proposed in 1913 by Von Mises who proposed a 3-D criterion for metals [14]. [19].…”

Section: -Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Wellbore stability analysis and breakout pressure prediction in vertical and deviated boreholes using failure criteria – A case study

Mansourizadeh

Jamshidian

Bazargan

et al. 2016

Journal of Petroleum Science and Engineering

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“…Therefore, the previous stress coordinates have to be changed for the inclined wells [30]. Then, the borehole induced stresses for an inclined well are:…”

Section: Induced Principal Stressesmentioning

confidence: 99%

Section: -Failure Criteria Analysis For Determination Of the Breakoumentioning

confidence: 99%

See 1 more Smart Citation

Wellbore stability analysis and breakout pressure prediction in vertical and deviated boreholes using failure criteria – A case study

Mansourizadeh

Jamshidian

Bazargan

et al. 2016

Journal of Petroleum Science and Engineering

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“…The stress and strain solutions for a cavity and surrounding crack(s) in an infinite elastic plane are abundant in the literature. Earlier analytical solutions were developed for the problem of a radial crack attached to a circular cavity by use of the complex-variable theory of elasticity (Bowie 1956;Hsu 1975), or by direct solution of the Airy stress functions in the real plane Rooke 1973, 1979). Later, the elastic dislocation theory was widely used for this purpose.…”

Section: Solutionmentioning

confidence: 99%

The Stability of Inclined and Fractured Wellbores

Mehrabian

2016

SPE Journal

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The theory of linear-elastic fracture mechanics is used to develop an analytical solution for a wellbore in an isotropic elastic medium when drilled inclined to a general state of 3D far-field stress, and attached to which are an arbitrary number of N straight and axially aligned fractures. Axial alignment refers to the special case where the borehole axis is the existing common interface of all planes defined by the fracture faces. The solution uses a familiar load decomposition and coordinate-transform scheme. Within the fracture-mechanics context of the analysis, this scheme translates into a set of three fundamental subproblems comprising a uniaxial stress problem, together with an in-plane mixed mode (Modes I and II), and a Mode III antiplane-crack/cavity-interaction problem.The overall solution is obtained by superposing the solutions to these subproblems. A numerical example is presented to demonstrate its usefulness in the stability analysis of inclined and fractured wellbores. Attention has been directed toward the underlying significance that the results would bring in fundamental understanding of lost-circulation events. For this purpose, the criteria for a possible extended margin of the mud weight that secures stable states of a fractured wellbore are recognized and quantified. These criteria include the wellbore-wall refracturing and the existing fractures propagation.

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“…The stress state in the elastic region (or non-yielding zone, r R) can be calculated with Equations (37)- (39). The radial stress at the interface R can be obtained by considering the stress state [(2 h − R ), h , R ] at r = R, which must satisfy the yield criterion (Equation (9a)):…”

Section: Special Casementioning

confidence: 99%

An elastoplastic evaluation of the stress state around cylindrical openings based on a closed multiaxial yield surface

Aubertin

2008

Num Anal Meth Geomechanics

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SUMMARYThere are many applications encountered in geo-engineering where there is a need to evaluate the stress state around circular openings. This paper presents a new analytical solution for evaluating the stresses around a cylindrical excavation in an elastoplastic medium defined by the closed MSDP u yield surface. The proposed formulation takes into account the 3D stress geometry with a plasticity criterion that intersects the mean stress axis on the positive (compressive) and negative (tensile) sides. The results shown here illustrate how the stress distribution and yielding zone size are affected by various influence factors. Validation of the proposed formulation is made by comparing calculated results with existing analytical solutions and a numerical simulation.

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Determination of the stress in rock unaffected by boreholes or drifts, from measured strains or deformations

Cited by 88 publications

References 3 publications

Wellbore stability analysis and breakout pressure prediction in vertical and deviated boreholes using failure criteria – A case study

Wellbore stability analysis and breakout pressure prediction in vertical and deviated boreholes using failure criteria – A case study

The Stability of Inclined and Fractured Wellbores

An elastoplastic evaluation of the stress state around cylindrical openings based on a closed multiaxial yield surface

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