Ja. Goff et al., MODAL FIELDS - A NEW METHOD FOR CHARACTERIZATION OF RANDOM SEISMIC VELOCITY HETEROGENEITY, Geophysical research letters, 21(6), 1994, pp. 493-496
Geologically and petrophysically constrained synthetic random velocity
fields are important tools for exploring (through the application of
numerical codes) the seismic response of small-scale lithospheric hete
rogeneities. Statistical and geophysical analysis of mid- and lower-cr
ustal exposures has demonstrated that the probability density function
for some seismic velocity fields is likely to be discrete rather than
continuous. We apply the term ''modal'' fields to describe fields of
this sort. This letter details a methodology for generating synthetic
modal fields which satisfy the von Karman covariance function. In addi
tion, we explore some of the mathematics of ''modality'', and define a
modality parameter which quantifies the variation between end members
binary and continuous fields.