On the problem of the internal constitution of the Earth

Enviado por Yoel Lana-Renault

Resúmen

Cómo conocer el interior de la Tierra desde una perspectiva matemática sencilla? La propagación de las fases sísmicas P y S en el interior de la Tierra se aborda considerando que la transmisión de las ondas obedece a la ley de velocidad v(r) = r(B - A·log r), donde A y B son constantes. Con esta ley obtenemos ecuaciones algebraicas para la localización espacial y temporal de cualquier fase, y también para determinar el espesor de las capas esféricas de la Tierra.

In this work a mathematical model on the problem of the internal constitution of the Earth is established. Essentially the fundamental hypotesis that serve as a basis for the theory developed an reflection of P and S waves, internal stratification of the Earth into five spherical regions, and finally a velocity kaw for the transmission of the P and S waves in each statum. A comparision between epicentral distances and travel-times obtained for this model shows very good agreement with well-known tables derived from direct observations.

Astronomical an geodesic studies have given numerous and significant dynamic and geometric data about our planet among which we can denote its shape, its dimensions, its movements, its total mass, its mean density, the acceleration of gravity, etc.

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Enviado por Yoel Lana-Renault