THEORETICAL DEVELOPMENT OF MAXIMUM EFFECTIVE MOMENT CRITERION

TONG Heng-mao; WANG Ming-yang; HAO Hua-wu; ZHAO Dan

2011 Vol. 17, No. 4

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TONG Heng-mao, WANG Ming-yang, HAO Hua-wu, ZHAO Dan. THEORETICAL DEVELOPMENT OF MAXIMUM EFFECTIVE MOMENT CRITERION[J]. Journal of Geomechanics, 2011, 17(4): 312-321.

Citation:

TONG Heng-mao, WANG Ming-yang, HAO Hua-wu, ZHAO Dan. THEORETICAL DEVELOPMENT OF MAXIMUM EFFECTIVE MOMENT CRITERION[J]. Journal of Geomechanics, 2011, 17(4): 312-321.

THEORETICAL DEVELOPMENT OF MAXIMUM EFFECTIVE MOMENT CRITERION

State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, China

Received Date: 13 May 2011

Publish Date: 25 December 2011

Abstract

Abstract

Theoretical analysis shows that the Maximum Effective Moment, which cause preexisting cleavage or bedding to rotate, is related to the direction of pre-existing cleavage or bedding, and the Maximum Effective Moment Criterion (M_eff=0.5(σ₁-σ₃) Lsin2αsinα, simplified as MEMC) proposed by Zheng et al is theoretically expanded to General Criterion of Maximum Effective Moment (M_G-eff=0.5(σ₁-σ₃) Lsin2αsin (α-θ), simplified as GCMEM), which can be used to determine the Maximum Effective Moment with any direction of cleavage in this paper.MEMC is a special case of GCMEM when cleavage is parallel to maximum principal compressive stress (σ₁).Theoretical analysis of GCMEM shows that:① when cleavage is parallel to σ₁, there occur two values of Maximum Effective Moment symmetrically on either side of σ₁ in the direction of ± 54.7°, and two conjugate deformation zone are predicted to appear with obtuse angle (109.4°) facing σ₁ direction.② When cleavage is oblique to σ₁, one Maximum Effective Moment, along which one deformation zone will appear, is predicted to occur on other side of σ₁, and the angle between deformation zone and σ₁ will decrease (from 54.7 ° when θ=0° reduced to 35.3° when θ=90°), while the angle between pre-existing cleavage and deformation zone will increase (from 54.7° when θ=0° increased to 125.3° when θ=90°) with pre-existing cleavage deviating from the σ₁ direction.③ when cleavage is perpendicular to σ₁, there also occur two values of Maximum Effective Moment symmetrically on either side of σ₁ in the direction of ± 35.3°, but two conjugate deformation zone with acute angle (70.6°) facing σ₁ direction.When the directions of pre-existing cleavage and deformation zone on principal strain surface and shear direction (sinistral or dextral) are known, the direction of maximum principal stress can be determined.GCMEM overcomes the incompatibility of MEMC with Slip Line Theory, and can be used to explain most of the kink zone development and other non-conjugate phenomena.It is expected to have wide application prospects in ductile deformation field.
- Maximum Effective Moment /
- ductile deformation /
- pre-existing cleavage /
- deformation zone /
- conjugate

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References

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