The Propagation of Earthquake Waves

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DOI: 10.1098/RSPA.1923.0015

关键词: Gravitational fieldRayleigh waveGravitationSupershear earthquakeMathematical analysisHydrostatic pressureGravitational potentialPhysicsField (physics)Physical constant

摘要: 1. A complete understanding of the propagation earthquake disturbances demands a solution problem vibrations an elastic sphere in which mutual gravitational attraction parts is taken into account, as well variation physical constants earth’s material with distance from centre. The classical Lamb applied only to gravitation supposed negligible, and have uniform values throughout. In subsequent discussion certain aspects general problem, I tried take but was able make progress by introducing quite artificial assumption permanent field force exactly annulling its undisturbed state. valuable critical note on this paper, late Lord Rayleigh indicated method opened up possibilities while avoiding very restriction. present note, availed myself Rayleigh’s suggestion, treated seem direct seismological importance. summary results will be found at end (§ 18). 2. We assume earth spherical shape arranged layers, so that all are functions single variable, r , absence disturbances, stress system any point assumed reduce simple hydrostatic pressure, p . This connected density ρ potential V usual equations ∂ /∂ x = ∂V/∂ etc. p, only.

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