Finsler geometry of seismic ray path in anisotropic media

DOI10.1098/rspa.2008.0453zbMath1186.86010OpenAlexW2136005351MaRDI QIDQ3561930

Takahiro Yajima, Hiroyuki Nagahama

Publication date: 19 May 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://rspa.royalsocietypublishing.org/content/vol465/issue2106/

zbMATH Keywords

Finsler geometrywavefrontanisotropic mediafractal\(m\)th root metricseismic ray path

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Seismology (including tsunami modeling), earthquakes (86A15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (12)

Mathematical foundations for field theories on Finsler spacetimes ⋮ Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds ⋮ A Finsler geodesic spray paradigm for wildfire spread modelling ⋮ Finsler geometry for nonlinear path of fluids flow through inhomogeneous media ⋮ Snell’s law revisited and generalized via Finsler geometry ⋮ The geodesic ray transform on spherically symmetric reversible Finsler manifolds ⋮ Kinetic gases in static spherically symmetric modified dispersion relations ⋮ Hodge duality between stress space and strain space in anisotropic media ⋮ Finsler metric and elastic constants for weak anisotropic media ⋮ Finsler geometry of nonlinear elastic solids with internal structure ⋮ Anisotropic wavefronts and Laguerre geometry

Cites Work

• Kawaguchi space, Zermelo's condition and seismic ray path
• Seismic rays as Finsler geodesics.
• Generalized orthogonality between rays and wavefronts in anisotropic inhomogeneous media

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