Gd. Williams et al., RESTORATION AND BALANCE OF COMPLEX FOLDED AND FAULTED ROCK VOLUMES - FLEXURAL FLATTENING, JIGSAW FITTING AND DECOMPACTION IN 3 DIMENSIONS, Tectonophysics, 273(3-4), 1997, pp. 203-218
Techniques of two-dimensional bed length and cross-sectional area rest
oration are extended into true, three-dimensional (3-D) restorations u
sing the preservation of areas of individual surfaces plus conservatio
n of volume between surfaces. The flexural flattening technique involv
es the restoration of a complexly folded surface to a horizontal plane
while conserving surface area and minimising finite strain. Multiple
surfaces showing superimposed non-co-axial folding may be restored usi
ng the flexural flattening method applied to successively deeper surfa
ces. In the process of sequential restoration, volumes between the upp
ermost flattened surface and underlying surfaces are preserved and the
refore the method is volume-balanced. The jigsaw fit of footwall and h
angingwall cut-offs of each flattened surface, in map view, provides a
unique restoration solution based on a unique translation and/or rota
tion of the hangingwall block. Flexural flattening and jigsaw fit perf
ormed sequentially on successively deeper surfaces in a three-dimensio
nal model may incorporate removal of the uppermost layer and three-dim
ensional decompaction at each restoration step. The method is applied
to a synthetic 3-D growth fault structure which has been produced usin
g multiple discrete slip vectors and bulk simple shear hangingwall def
ormation.