MATHEMATICAL MODEL FOR INVESTIGATE THE POSSIBILITY OF A VOLCANOS ERUPTION DUE TO THE FORMATION OF A CRACK IN THE ROOF OF THE MAGMA CHAMBER

Abstract

The mathematical model is used for the case when a crack appears in the roof of the magma chamber inside a volcano, the pressure in which initially is zero. The pressure drop in the magmatic chamber leads to an increase in the size of the bubbles in the magma and an increase the volume of the magmatic melt. It is shown that the opening of the crack stops at distances much less than the depth of the location of the magma chambersroof.