Derivation and evaluation of a mechanical model for sheet intrusions |
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| Authors: | David D Pollard |
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| Institution: | Department of Geological Sciences, University of Rochester, Rochester, N.Y.U.S.A. |
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| Abstract: | A two-dimensional mechanical model for sheet intrusions based on the elastic deformation around a pressurized elliptical hole is derived. After evaluating the effects of irregularities in contact shape, possible magma pressure distributions, regional boundary conditions, host rock properties, and interference from adjacent intrusions the model can be applied with confidence to understand many features associated with dike or sill emplacement. Three mechanisms for sheet intrusion propagation are extension fracturing, brittle faulting, and ductile faulting. This deformation is concentrated at the intrusion termination, the site of large principal stress differences and large stress gradients. In both brittle and ductile host rock the magma pressure needs only barely to exceed the regional stress acting normal to the intrusion's length for propagation to occur. Propagation direction is controlled by the regional stress orientation, interference from adjacent intrusions, planar discontinuities, and changes in host rock properties. The classic method of distinguishing dilational from non-dilational intrusions may not work because contacts are not planar or parallel and displacements are not everywhere perpendicular to the intrusion's length. Equations are derived for calculating the magma pressure for intrusions in relatively simple tectonic settings. |
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