Recent tests on a series of earthquakes in California and Nevada sugge
st that in some regions the approximate shapes of the territories with
equal earthquake-induced damage (expressed in terms of macroseismic i
ntensity) could be synthetically traced out with a simple formula. Thi
s formula takes into account some gross features of the source: depth
and length, unilateral or bilateral rupture, radiation patterns, ruptu
re velocity, and directivity. Having been formulated on an empirical b
asis, the formula is however compatible with the so-called asymptotic
approach, in which the far-field component of the Green's function is
used. This paper presents the synthetic isoseismals of the earthquakes
at Cedar Mountain, Nevada, 1932; Fairview Peak-Dixie Valley, Nevada,
1954; and Coalinga, California, 1983. An overall consistency, from acc
eptable to remarkable, between the observed intensity patterns and the
synthetically back-predicted intensity has been obtained for them. Wh
ere the detailed modelling techniques available today are inapplicable
, due to insufficient information on the features of the seismic sourc
es, or to save time and money, the new formula may be utilizable for i
mproving seismic hazard calculations. The formula was also used invers
ely for back-predicting geometric-kinematic parameters of the Coalinga
1983 earthquake from macroseismic maps. This gave characteristics for
its source which are in good agreement with the majority of data infe
rred from modelling and from analyzing modern instrumental recordings.
This striking result opens new perspectives in retrieving information
on the source of ancient earthquakes for which only macroseismic info
rmation is available. (C) 1997 Elsevier Science Limited.