Geomechanics and Fracturing

Axial stress around vertical wellbore

11.1

Axis of a deviated borehole from an arbitrary origin

11.2

Bulk modulus (using Lame)

11.3

Bulk modulus (using Poisson’s ratio and Lame’s constant)

11.4

Bulk modulus (using Poisson’s ratio and shear modulus)

11.5

Change in pore volume due to initial water and rock expansion

11.6

Cohesive strength of rocks

11.7

Compressibility of a coalbed methane formation

11.8

Effect of pore pressure on stress

11.9

Effective stress on individual grains

11.10

Failure criteria (Mohr-Coulomb)

11.11

Formation compressibility by using hydrofrac data

11.12

Fracture conductivity

11.13

Fracture gradient (Eaton)

11.14

Fracture gradient (Holbrook)

11.15

Fracture gradient (Matthews and Kelly)

11.16

Fracture gradient (Zoback and Healy)

11.17

Fracture pressure (Hubert and Willis)

11.18

Fracture volume (GDK method)

11.19

Fracture volume (Perkins and Kern method)

11.20

Fracture width (GDK method)

11.21

Fracture width (Perkins and Kern method)

11.22

Hoek and Brown criteria for principal stress failure

11.23

Horizontal effective stress (assuming no lateral strain as per Lorenz and Teufel)

11.24

Horizontal maximum stress (Bredehoeft)

11.25

Induced fracture dip

11.26

Initial effective horizontal stress

11.27

Isothermal compressibility of limestones (Newman correlation)

11.28

Least principal stress as function of depth in Gulf of Mexico (Hubbert and Willis)

11.29

Least principal stress as function of depth in Gulf of Mexico (Matthew and Kelly)

11.30

Linearized Mohr failure line

11.31

Linearized Mohr coulomb criteria

11.32

M Modulus (using shear modulus and bulk modulus)

11.33

M Modulus (using Young’s modulus and Poisson’s ratio)

11.34

Maximum anisotropic failure stress

11.35

Maximum compression at vertical wellbore

11.36

Maximum normal stress in tangential direction at wellbore wall (hoop stress)

11.37

Maximum plane tangential stress acting on deviated wellbore (1)

11.38

Maximum principal stress failure (Hoek and Brown)

11.39

Maximum principal stress in normal faulting

11.40

Maximum principal stress in reverse faulting

11.41

Maximum principal stress in strike-slip faulting

11.42

Maximum principal stress calculation using breakout width

11.43

Minimum compression at vertical wellbore

11.44

Minimum normal stress in tangential direction at wellbore wall (hoop stress)

11.45

Maximum plane tangential stress acting on deviated wellbore (2)

11.46

Modified lade criterion

11.47

Normal stress in radial direction near wellbore

11.48

Normal stress in rock at failure

11.49

Normal stress in tangential direction at wellbore wall (hoop stress)

11.50