The article provides data on a set of equations (about 600 equations) created using a database of experimental data called «INFOREX». Along with traditional equations such as thermometers and barometers, the authors created meltometers to calculate element content in a melt and equilibrometers to calculate composition equilibrium of studied paragenesis. The article presents examples for each type of equations with their properties. Investigation of interphase distribution of elements allowed distinguishing pressure-sensitive and temperature-sensitive elements, peculiarities of distribution of silica, aluminium, magnesium, and calcium, magnesium – alkali sum in basic iltrabasic melt system – is a rock-forming mineral. Equations and a number of regularities used to distinguish genesis of natural paragenesis allowed evaluation of melt ascent rate in rift valleys of Mid-Ocean Ridge, as well as provided evidence for non-magmatic genesis of diamonds and increasing in magnesium content in komatiites during secondary alterations.

We provide data concerning a weak phreatic eruption of Ekarma Volcano on Ekarma Island, in the Kurils, in June 2010. The ash plumes did not rise higher than 3 km above sea level. A preliminary estimate of the volume of erupted resurgent material (mostly tephra) is on order 2 х 10^5 м^3. Reconstruction of the volcano's history and the dynamics of its eruptive activity for the last 4500-5000 years suggests that a larger eruption can occur during the next few decades that will discharge juvenile pyroclastics and/or lava.