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One of the popular mathematical models is given by:

LaTeX Math Block
anchorpb
alignmentleft
 {\rm FBP} = p_b = 3 \, \sigma_{h, \rm min} - \sigma_{h, \rm max} + \sigma_t - p_i

where

LaTeX Math Inline
body--uriencoded--\sigma_%7Bh, \rm min%7D

minimal principal horizontal stress

LaTeX Math Inline
body--uriencoded--\sigma_%7Bh, \rm max%7D

maximal principal horizontal stress

LaTeX Math Inline
body--uriencoded--\sigma_%7Bt%7D

tensile stress

LaTeX Math Inline
bodyp_i

initial formation pressure




See Also

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Petroleum Industry / Upstream / Well / Well-Reservoir Contact (WRC) / Hydraulic fracture / Formation Breakdown Pressure (FBP)