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The AAPG/Datapages Combined Publications Database
Journal of Petroleum Geology
Abstract
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Journal of Petroleum Geology, Vol.
PART II(a): GENESIS OF THE "UNIT"
* This research work was carried out in the Koninklijke/Shell, Exploratie en Produktie Laboratorium, Rijswijk , The Netherlands, during 1968-1972 by: Dr. W. Crans, Exploration Consultant, GeoQuest International Inc./ J. R. Butler and Company, 4605 Post Oak Place, Suite 130, Houston, Texas 77027, and Dr. G. Mandl, Koninklijke/Shell, Exploratie en Produktie Laboratorium, Rijswijk, The Netherlands. Some basic features have been published previously in short notes by Crans, Mandl and Shippam (1973) and Mandl and Crans (979).
Abstract
boundary
conditions
, the elastic and plastic stress
fields in the sloping, overpressured layer are derived. The
plastic stress field is calculated on the grid generated by the
"characteristics" of the hyperbolic partial
differential equation for the plastic stress state. These
characteristics, being called in stress analyses "slip
lines", are
potential
faults. In the case considered, a
parameter equation is derived for one set of slip lines,
(
potential
growth faults), which may simplify into cycloids under
special
conditions
. Once the plastic stress field has been
generated, the plastic deformation of the layer can be calculated
by introducing the proper
boundary
conditions
to the flow rules
or plastic "velocity equations" being discussed
extensively. To complete the rheological description, the
behaviour of the sediment layer is described by attributing also
thixotropic properties to the sediment. Although the case
discussed is a very specific one, it illustrates how structural
geological phenomena can be modelled on the computer in an
appropriate geomechanical way. Such a numerical computer model
shows the unique relation between plastic stress state and fault
pattern, and the non-unique relation between plastic stress state
and deformation pattern, being typical for the theory of
plasticity.
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