Porosity reduction during mechanical compaction of a sediment generally has
been assumed to be controlled by the increase in vertical effective stress
, which is convenient because vertical stress profiles may be readily calcu
lated from density logs. Poroelasticity theory shows, however, that mean ef
fective stress controls porosity reduction. According to published data, ho
rizontal stresses increase with overpressure, as well as with depth, so mea
n stress and vertical stress profiles are poorly correlated in overpressure
d sections.
We have used wireline logs to compare the pore pressures estimated in mudro
cks by relating porosity to mean effective stress and to vertical effective
stress for overpressured Tertiary sections in southeast Asia. Wells from t
hree different basins were studied. Mudrock porosities were estimated from
the sonic log response and sorted by lithology according to the natural gam
ma-log response. Two sets of normal compaction curves, relating porosity to
mean effective stress and to vertical effective stress, were determined em
pirically by fitting data points where the pore pressure was thought to be
hydrostatic. These curves were then used to estimate the minimum pore press
ure corresponding to mudrock porosity values in the overpressured sections.
The pore pressures inferred using the mean effective stress are consistent
with direct measurements of pore pressure in the adjacent sands. In contras
t, pore pressures inferred in mudrocks using the vertical effective stress
are significantly lower for the overpressured sections, implying discontinu
ities in the pore pressure profiles at lithological boundaries, which canno
t readily be explained. We conclude that the pore pressures estimated using
the vertical effective stress are wrong and that empirical relationships b
etween porosity and vertical effective stress should not be used for estima
ting pore pressures: porosity should be empirically related to mean effecti
ve stress instead.