By Bernt Aadnoy, Reza Looyeh
Content material:
Front matter
, Pages i-iii
Copyright
, Page iv
Dedication
, Page v
Preface
, Pages xiii-xiv
Acknowledgements
, Page xv
About the authors
, Pages xvii-xix
List of symbols
, Pages xxi-xxvi
Chapter 1 - Stress/Strain Definitions and Components
, Pages 1-12
Chapter 2 - rigidity and pressure Transformation
, Pages 13-25
Chapter three - valuable and Deviatoric Stresses and Strains
, Pages 27-39
Chapter four - idea of Elasticity
, Pages 41-51
Chapter five - Failure Criteria
, Pages 53-62
Chapter 6 - advent to Petroleum Rock Mechanics
, Pages 63-76
Chapter 7 - Porous Rocks and powerful Stresses
, Pages 77-105
Chapter eight - In-Situ Stress
, Pages 107-129
Chapter nine - Rock power and Rock Failure
, Pages 131-149
Chapter 10 - Stresses round a Wellbore
, Pages 151-172
Chapter eleven - Wellbore Instability Analysis
, Pages 173-255
Chapter 12 - Wellbore Instability research utilizing Inversion Technique
, Pages 257-273
Chapter thirteen - Wellbore Instability research utilizing Quantitative danger Assessment
, Pages 275-296
Chapter 14 - The impression of dust Losses on Wellbore Stability
, Pages 297-318
References
, Pages 319-322
Appendix A - Mechanical homes of Rocks
, Pages 323-326
Appendix B - The Poisson's Ratio Effect
, Pages 327-330
Appendix C - version for the strain Bridge
, Pages 331-334
Appendix D - word list Of Terms
, Pages 335-342
Index
, Pages 343-350
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Additional resources for Petroleum Rock Mechanics. Drilling Operations and Well Design
Example text
2 is known as Cauchy’s transformation law (principle), which can also be shortened to: ½S ¼ ½s½n where [S] represents the resulting stress vector acting on area A, assuming that the initial coordinate system of the cube will remain unchanged, and [n] is the vector of direction cosines. By rotating our coordinate system, all stress components may change in order to maintain the force balance. For simplicity, we will first study a coordinate transformation and its effect on the stress components in a twodimensional domain, before proceeding towards a general three-dimensional analysis.
E. three normal and three shear components, with respect to an arbitrary coordinate system. The values of these six components at the given point will change with the rotation of the original coordinate system. It is therefore important to understand how to perform stress or strain transformations between two coordinate systems, and to be able to determine the magnitudes and orientations of stress or strain components that result. One key reason for stress or strain transformation is that the strains are normally measured in the laboratory along particular directions, and they must be transformed into a new coordinate system before the relevant stresses can be re-calculated.
11, which defines the general three-dimensional stress transformation, seems to be too complicated for simple calculations. e. 12. The same procedure can be used to find other stress components of the transformed stress state. 6 STRAIN TRANSFORMATION IN SPACE Strain can be transformed in the same way as stress. 6 it can be seen that stress and strain matrices have Stress and Strain Transformation 23 identical structures. This means that by replacing s with e and t with g=2, the same transformation method can be used for strain.