Jökull


Jökull - 01.06.2000, Page 70

Jökull - 01.06.2000, Page 70
Earthquakes in the Mýrdalsjökull area, 1978–1985 occur in one season, the process loading stress in the area must do it at a rate that is similar to the rate of the modulating effects of the seasonal changes. In the absense of magma accumulation, the only other pro- longed process that comes to mind as a loading pro- cess is the regional stress accumulation due to plate movements. Even though the Mýrdalsjökull volca- noes are not on the plate boundary they are within the zone where significant strain accumulates (Jóns- son et al., 1997). We suggest that the stress concen- tration around the magma chambers of the Mýrdals- jökull volcanoes is sufficient to sustain the persistent seismicity there. In view of these arguments the very existence of the western cluster is a strong indication of an independent magma chamber west of the Katla caldera. How then is the triggering achieved? Assuming that the earthquakes are caused by brittle failure the trigger must either change the state of stress or the failure conditions, or possibly both. Let us consider the state of stress within the seismically active crustal volume, characterized by the maximum and minimum principal compressive stresses, ! and !#" . Because of the persistent nature of the seismicity the rocks must be close to failure most of the time, or as shown in Figure 8, the Mohr circle of the stress field must be close to the failure envelope. The long term mass fluctuations of the glacier are modulated by seasonal changes. Snow accumulates on the top of the glacier most of the year but is partly melted in the summer months. The net increase in snow is balanced by ice flow down to the ablation areas. So it must be as- sumed that the load of the glacier is slowly increas- ing during the larger part of the year but decreasing during the summer months. This load will affect the stress field in the underlying crust. A load term, $&% (' is added to both principal stresses, where $&% is the ice density,  is the acceleration of gravity, and ' is the thickness of the additional ice. The Mohr circle thus moves to the right during increasing load, i. e. away from the failure envelope, and to the left during times of decreasing load. The crustal volume can, in this way, be brought to failure by reducing the load of the glacier. But this triggering mechanism only works during the summer months. The Mýrdalsjökull glacier is a temperate glacier and a good part of the melt water finds its way into the glacier and down into the crust below. So the load of the melted ice is not carried off immediately and the load reduction is prolonged into the autumn months. This may be sufficient to explain why earth- quakes usually continue until the end of the year. But now a different mechanism is likely to become effec- tive. The increased water in the crust will lead to el- evated pore pressure, ) , which in turn will affect the failure envelope. The failure envelope will move to the right by the amount ) (Figure 8). Figure 8. A Mohr-diagram for a hypothetical state of stress and a failure envelope in the crust beneath a glacier. The crust is fractured when the Mohr circle and the failure envelope intersect. The small arrow shows the displacement of the circle * +'( $ % when the thickness of the ice is reduced by h. The large arrow shows the displacement of the failure envelope when the same amount of melt water is added to the crust increasing the pore pressure by ) -,/.0'( $1% . – Mohr-graf sem sýnir ímyndað spennuástand og brot- þolsferil í jarðskorpunni undir jökli. Skorpan brest- ur þegar Mohrshringurinn og brotþolsferillinn sker- ast. Litla örin sýnir hvernig Mohrshringurinn færist þegar jökullinn þynnist vegna bráðnunar. Stóra ör- in sýnir hvernig brotþolsferillinn færist ef sama magn af bræðsluvatni fer niður í skorpuna og hækkar poru- þrýsting í berginu. JÖKULL No. 49 69
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