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Next: Analytical solutions in constant Up: Sun et al.: Lowrank Previous: Introduction

Theory

Let $ p(\mathbf{x},t)$ be the seismic wavefield at location  $ \mathbf{x}$ and time $ t$ . The acoustic constant-density wave equation can be written as

$\displaystyle \left( \frac{\partial^2}{\partial t^2} - V^2 (\mathbf{x}) \nabla^2 \right) p(\mathbf{x},t)=0\;,$ (1)

where $ V(\mathbf{x})$ is velocity and $ \nabla^2$ denotes the Laplacian operator.



Subsections


2016-11-16