Continuum theory of defects and gravity anomaly

• Autorzy: Yamasaki K. , Nagahama H.
• Języki publikacji: EN

Abstrakty

EN

Based on the mathematical equivalence between the crack field and the continuous dislocation field, we briefly review continuum theory of defects from the view point of differential geometry. Then we derive a new differential geometric equation of static gravity change for anelastic effect due to the fault (dislocation) density. This equation shows that high gradient of dilatancy caused by the concentration of fault (dislocation) density accompanies high gradient of gravity change near the boundary between positive and negative gravity anomalies. This agrees with the characteristic distribution patterns; the distribution of short-wavelength gravity anomaly, active faults and shallow seismic activities overlap one another in the northeast Japan. Moreover, we discuss: (I) dynamic gravity anomaly related to earthquakes; (II) local gravity anomaly near the edges of an active fault; (III) differential geometric interpretation of gravity anomaly caused by the dislocation density; (IV) differential geometric relationship between gravity anomaly and magnetic anomaly (Poisson's relation).

Słowa kluczowe

EN

gravity anomaly; active fault; dislocation density; earthquake; differential geometry

• Wydawca: Instytut Geofizyki PAN
• Czasopismo: Acta Geophysica Polonica
• Rocznik: 1999
• Tom: Vol. 47, nr 3
• Strony: 239--257
• Opis fizyczny: Bibliogr. 88 poz.

Twórcy

autor

Yamasaki K.

autor

Nagahama H.

• Department of Geoenvironmental Sciences Graduate School of Sciences, Tohoku University 980-8578 Sendai, Japan,