TY - JOUR
T1 - Mathematical block-motion model for deformation of a layer above a buried fault of arbitrary dip and sense of slip
AU - Patton, Thomas L.
AU - Fletcher, Raymond C.
N1 - Funding Information:
Acknowledgements-Initial development of the mathematical mode1 for this study was partially funded under National Science Foundation Grant #EAR77-13097, M. Friedman (P.I.). We gratefully acknowledge reviews of earlier versions of this manuscript by Richard Gibson, Jean-Pierre Petit, Jean-Pierre Brun and an anonymous reviewer. We thank Dave Stearns. John Logan and Mel Friedman for numerous stimulating discussions and ideas which aided in the development and understanding of these models.
PY - 1995/10
Y1 - 1995/10
N2 - An analytic series solution is obtained for the stress and deformation in an isotropic viscous, or incompressible elastic layer subjected to rigid-block motion at its base. The block motion approximates slip on a pre-existing basement fault of arbitrary dip and sense of slip. Deformation in the layer due to horizontally-separating and horizontally-converging blocks, slip on a vertical basement fault, and slip on 45 °-dipping reverse and normal basement faults is examined. Above horizontally-diverging and -converging blocks, a symmetric syncline and anticline form, respectively. Monoclines form above dipping basement faults. The location of the monocline, and to a lesser degree its form, vary systematically with fault attitude and sense of slip. For a given fault displacement, the region of brittle failure in a basement normal-fault model is larger than that in a reverse-fault model. New faults formed in the layer are arcuate in profile. Model results agree with observations of stress orientation and deformation from laboratory models.
AB - An analytic series solution is obtained for the stress and deformation in an isotropic viscous, or incompressible elastic layer subjected to rigid-block motion at its base. The block motion approximates slip on a pre-existing basement fault of arbitrary dip and sense of slip. Deformation in the layer due to horizontally-separating and horizontally-converging blocks, slip on a vertical basement fault, and slip on 45 °-dipping reverse and normal basement faults is examined. Above horizontally-diverging and -converging blocks, a symmetric syncline and anticline form, respectively. Monoclines form above dipping basement faults. The location of the monocline, and to a lesser degree its form, vary systematically with fault attitude and sense of slip. For a given fault displacement, the region of brittle failure in a basement normal-fault model is larger than that in a reverse-fault model. New faults formed in the layer are arcuate in profile. Model results agree with observations of stress orientation and deformation from laboratory models.
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U2 - 10.1016/0191-8141(95)00034-B
DO - 10.1016/0191-8141(95)00034-B
M3 - Article
AN - SCOPUS:0029415496
SN - 0191-8141
VL - 17
SP - 1455
EP - 1472
JO - Journal of Structural Geology
JF - Journal of Structural Geology
IS - 10
ER -