Research Article

Effect of Seepage Force on the Wellbore Breakdown of a Vertical Wellbore

Table 1

Common symbols and units.

SymbolThe meaning of symbolUnit

Radial stressPa
Circumferential stressPa
Shear stressPa
Poisson’s ratio/
Frame bulk moduli of rockPa
Mineral matrix bulk moduli of rockPa
Radianrad
Radial distancem
Maximum horizontal principal stressPa
Minimum horizontal principal stressPa
Initial pore pressurePa
Wellbore pressurePa
Pore pressure at the outer boundaryPa
Pore pressure distribution around wellborePa
Wellbore inner diameterm
Seepage forcePa
Outer diameter of wellborem
Differential pressurePa
Tensile strength of a rockPa
The effective circumferential stressPa
Circumferential total stress formed by formation principal stressPa
Circumferential stress formed by wellbore pressurePa
Circumferential stress formed by changes in pore pressurePa
Circumferential stress formed by seepage forcePa
Permeabilitym2
Flow rate of fluidm3/s
Fluid viscosityPa/s