A map of faults in a 60 km(2) area of the southern North Sea has been
produced from three-dimensional seismic data. The faults shown on the
map obey power-law cumulative-frequency distributions for throw (power
-law exponent, D, approximate to 2.7) and length (D approximate to 1.1
). Simulations have been carried out to correct for sampling biases in
the data and to make predictions of the throw and length scaling char
acteristics of the faults. The most important bias is caused by poor r
esolution;of the small displacement tip zones of faults. The raw data
show considerable scatter in their length:throw ratios, but they more
closely fit a linear relationship if a length of 500 m is added to eac
h fault, thereby making up for the zones near the fault tips with thro
ws (approximate to 15 m) below seismic resolution. Further variability
in the data may be caused by such geological factors as fault interac
tion. Tip lengths have been extended to simulate the actual fault patt
ern in the study area. Maps produced by this procedure can be used to
estimate the true connectivity of the fault network. Extending the fau
lts results in greater connectivity than shown by the raw data, which
may cause greater compartmentalization of the rock mass. This greater
compartmentalization has implications for hydrocarbon exploitation if
the faults are sealing. A problem with the model, however, is that it
does not deal effectively with the interaction of subparallel, noncopl
anar faults. To test the reliability of the procedure, we analyzed exp
osure-scale faults in Somerset, United Kingdom, where the tips are wel
l constrained. Both length-throw relationships and map-pattern connect
ivity for the simulated fault networks agree closely with the actual d
ata.