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Propagating coupled elastic wavefields

Following Carcione (2007), we denote the spatial variables $ x$ , $ y$ and $ z$ of a right-hand Cartesian system by the indices $ i, j,$ ...$ =1$ , $ 2$ and $ 3$ , respectively, the position vector by $ \mathbf{x}$ , a partial derivative with respect to a variable $ x_i$ with $ \partial_i$ , and the first and second time derivatives with $ \partial_t$ and $ \partial_{tt}$ . Matrix transposition is denoted by the superscript $ \lq\lq T''$ . We also denote $ \sqrt{-1}$ by $ i$ , the scalar and matrix products by the symbol $ \lq\lq \cdot''$ , the dyadic product by the symbol $ \lq\lq \otimes''$ . The Einstein convention of repeated indices is assumed unless otherwise specified.



Subsections


2016-11-21