Аннотация:The detailed treatment oflithosphere degassing processes and their fractal nature presented in our Joint paper (Iudin et al., 2002) allows us to make rlght assumptions on characteristic stages of the process and to determine its spatial and temporal scales. So, we distinguish two stages: stage l, when enlarging gas bubbles (regions
saturated by permeable for gas microcracks) migrate upward slow]y, having characteristic time of the order of one to ten years and characteristic dimensions about 1 km; and stage 2, when gas bubbles transform explosively
with formation of the regions filled with macrocracks, baying characteristic tlme of the order of one to five days. Therefore, two finite-automaton models are presented here. Analysis of the process at stage 1 has revealed the followlng features:
- Elevation of gas bubbles has distinctive trend to merglng and enlargernent.
_ Gas bubble distribution over the volume has fractal character, and for certain model parameter combination its distribution characteristic coincides with Gutenberg-Richter's distribution.
- Elevation rate of gas bubbles increases practically linearly wlth the gas bubble size.
Mathematical modeling of stage 2 has revealed the following characteristic features:
- Initiation of macrocrack regions has fractal distribution over its frequency and size.
- The dependence of macrocrack region initiation on the distance from the daylight surface is nonmonotonous and has maximum (several maxima depending on the examined geological situation) at the depth of order of 5-15 kilometers.
- In the region highly saturated by gas bubbles several successive explosive transformations may be combined with the formation of the linked large-scale macrocrack region.
The proposed model may be useful for study of the processes accompanying earthquakes.