Page 303 - Reservoir Geomechanics

the mexico of gulf Comments ratio stress σ hmin underpredicted often (which relation this proposing first After 0.3 = σ v 0.5 to constant empirical the modified they values) measured as well as depth at pressure pore of estimate an Requires K i (z) = K i (z). for functions determined empirically
constraint bilateral the as same the
in σ hmin σ ν σ hmin σ ν (1 + µ 2 ) 1/2 σ hmin σ ν
stress Effective σ hmin σ ν =

minimum P h ) P h ) −

of P p P p P p P p ) + − ft ft P p +
estimation + P p ) + P p ) − − (S ν 0.46(P p + 11,500 4596+0.46(P p 11,500 + µ −2 P p ) −

for equation − (S v K i (z)(S v ν 1 − ν 0.197z 1.145 < z For − 1.167z > z For φ)(S v −
methods Proposed 0.3 = S hmin = S hmin
= S hmin = S hmin = S hmin P p − S hmin P p − S ν (1 + µ 2 ) 1/2 = (1 = S hmin

Empirical (1957) van (1981) Healy (1990)

9.1. and Willis and (1967) Kelly (1969) and Eekelen and (1984)
Table Method Hubbert Mathews Eaton Breckels Zoback Holbrook