Truncated transparent boundary conditions
Ivan Sofronov
TL;DR
This paper develops truncated transparent boundary conditions for hyperbolic systems, enabling approximate nonreflecting boundaries in simulations, with applications demonstrated in 3D elasticity and Biot poroelasticity.
Contribution
It introduces a method to derive local truncated TBCs for second-order hyperbolic systems, expanding their practical applicability.
Findings
Derived equations for truncated TBCs in hyperbolic systems
Applied truncated TBCs to 3D elasticity problems
Extended approach to Biot poroelasticity
Abstract
We derive equations for evaluating differential operators in transparent boundary conditions (TBCs) for a certain class of hyperbolic systems of second-order equations. This local part of TBCs can be used as approximate nonreflecting boundary conditions. We give examples of obtaining such truncated TBCs for 3D elasticity and Biot poroelasticity
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Taxonomy
TopicsSeismic Imaging and Inversion Techniques · Numerical methods in engineering · Geotechnical and Geomechanical Engineering