Towards the lava flow physical modelling using Olson's dynamical analogies, similarity criteria and dimensional analysis implemented for the melting polymers in SEM or ESEM sub-chambers

Abstract

The "lava flow modeling" is known to be a very extensible term covering different processes from the analog experiments of the lava flow emplacement and direct digital simulations (such as 3D modeling of lava flows using smoothed particle hydrodynamics and FEM-based modeling including finite-difference numerical approximations) to SCIARA- and MAGFLOW-based cellular automata lava flow modeling and its applications for hazard predictions. Despite this fact the physical basis of all the above models includes the rheology of the underlying substance. Consequently, it is possible to simulate the effects/phenomena of lava distribution, including bifurcation-determined ones, using the unified principles, explicated from the physical chemistry and rheology of viscous polymers, including reaction-diffusion mechanisms and nonlinear wave's physics. Our study was focused on reconsideration of the analog modeling based on physical similarity conditions and criteria, which made it possible to simulate such phenomena using uniform or similar equations, which can be explicated not only for linear scales, but also for nonlinear systems and non-stationary boundary conditions. The aim of our work is physical modeling of the lava flow based on chemically different media using hydrodynamical and hydraulical similarity criteria and principles of the unified interpretation of the wave phenomena in the framework of nonlinear physics. Also we apply the scaling principles for microscopic simulation of the effects, observed on either mesoscopic or macroscopic levels, for direct observation of them at the microscopic level using complex electron microscopy instrumentation