Applied Math Seminar: Macroscopic coupling of deformation and melt migration at continental interiors, with applications to the Colorado Plateau
Event Type:
Seminar
Speaker:
Mousumi Roy UNM Physics
Event Date:
Monday, March 21, 2016 - 3:30pm
Location:
SMLC 356
Audience:
General PublicFaculty/StaffStudentsAlumni/Friends
Event Description:
Title:
Macroscopic coupling of deformation and melt migration at continental interiors, with applications to the Colorado Plateau
Abstact:
Within continental interiors far from plate boundaries, we hypothesize that the architecture of the lithosphere will influence dynamic pressure gradients produced as a tectonic plate moves relative to the underlying asthenosphere. (Here the words “lithosphere" and “asthenosphere" refer to the outer, rigid, mechanical layer of the Earth and its flowing interior, respectively.) Using continnum mechanics models and the Darcy approximation, we investigate how these dynamic pressure gradients affect melt migration by percolative flow within the mantle beneath continental interiors. Our models show that, for a lithospheric keel that protrudes into the ``mantle wind", the behavior of the system can be classified into three categories: (1) small-scale convective instabilities modify both the geometry of the lithosphere-asthenophere boundary (LAB) and associated dynamic pressure gradients so that the surface flux of melt is largest above a narrow downwelling at the center of the keel; (2) weak convection does not substantially modify the keel and persistent gradients at the LAB at margins of the keel control dynamic pressure gradients so that surface melt flux is elevated within the keel relative to its surroundings; and (3) when convective instabilities are suppressed due to sufficiently high viscosity in the asthenosphere, asymmetric dynamic pressure gradients due to mantle shear beneath the keel focus melt streamlines toward the upwind flank of the keel and direct melt away from the downwind flank. We interpret surface patterns of Cenozoic magmatism at the Colorado Plateau, particularly the ``upwind-downwind" asymmetry relative to the direction of motion of North America over the underlying asthenosphere, in terms of category (3) above. Our models quantitatively assess the viability of spatially variable dynamic pressure gradients as a physical mechanism to explain disparate observations at the Colorado Plateau, such as surface volcanic activity, heat flow, xenolith data, and seismic structure.
Tea, Coffee, Cookies and conversation at 3:00pm in the lounge.
Event Contact
Contact Name: Daniel Appelo
Contact Phone: (505) 277-3310
Contact Email: appelo@math.unm.edu
