Abstract
Toolbox for Analysis of Flexural Isostasy (TAFI)—A MATLAB toolbox for modeling flexural deformation of the lithosphere
Highlights
Typically involving subsidence in the vicinity of the load and uplift in surrounding areas (Fig. 1)
Vertical tectonic loads emplaced on the lithosphere may be in the form of static surface loads such as topography, static subsurface loads due to lateral variations in lithosphere or asthenosphere density, or dynamic subsurface loads created by tractions at the base of the lithosphere imposed by flow in the underlying mantle
The Toolbox for Analysis of Flexural Isostasy (TAFI) consists of MATLAB functions that compute the flexural response of an infinite or semi-infinite thin elastic plate overlying an inviscid substrate and subjected to line, point, and 2-D periodic loads
Summary
Typically involving subsidence in the vicinity of the load (assuming the load represents an addition of weight to the lithosphere) and uplift in surrounding areas (the peripheral “bulge”) (Fig. 1). TAFI computes the flexural deformation for spatially distributed 2-D loads (loads with finite width and infinite along-strike extent) by convolving the line load Green’s function with a load discretized along a profile trending perpendicular to strike (the x-direction). Greens functions for both infinite (unbroken) plates and semi-infinite (broken) plates are provided in TAFI. TAFI’s GUI is designed to serve as a template to which additional isostatic analysis tools, such as solutions for different plate rheologies (e.g., viscous, viscoelastic, or visco-plastic), may be added by users familiar with MATLAB coding
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