Stoneley waves in the Biot–Johnson and continuum filtration theories

The paper concerns with mathematical modeling of two-velocity media with reference to data on Stoneley wave propagation at the fluid-porous solid interface from experiments by K.W. Winkler, H.L. Liu, and D.J. Johnson. Models obtained within the limits of two theories, that of Biot (Biot–Johnson) and continuum filtration, are investigated in comparison. On this basis, it is discussed whether it is reasonable to include pore tortuosity and frequency-dependent permeability and tortuosity when modeling the mechanics of deforming fluid-saturated porous solids.     

Stoneley waves,radial waves,and method of measuring permeability and electroacoustic constant of saturated porous media

A two-mode method of measuring permeability and electroacoustic constant in the course of borehole logging is considered. The first mode is the Stoneley wave with its electroacoustic ratio; the second mode is the radial wave in the formation around the borehole with the electric field it generates. The radial wave enables one to measure the electroacoustic constant and the Stoneley wave, the electroacoustic ratio, linearly dependent on permeability. Using these measurements jointly enables one to find permeability of the porous medium. All formation evaluation can be reduced to an additional measurement of electric conductivity.     

Metasomatic zoning of subcratonic lithosphere in Siberia: physicochemical modeling

Nonisothermal equilibrium physicochemical dynamics has been numerically modeled to estimate the effect of reduced asthenosphere fluids on continental lithosphere profiles beneath the Siberian Platform (SP). When the over-asthenosphere continental mantle is metasomatically changed by reduced magmatic fluids, the following sequence of zones forms: (1) zone where initial rocks are intensively sublimated and depleted by most petrogenic components; the restite in this case becomes carbonated, salinated and graphitized; (2) zone of Si and Fe enrichment and carbon deposition in initial rocks depleted in Na, K, P, Mn; (3) zone of diamond-bearing lherzolites enriched with Na; (4) zone of hydrated rocks enriched with K; (5) zone of hydrated rocks not enriched with petrogenic components. Zone 1 can be responsible for the formation of kimberlite melts, zones 3 and 4 can be substrates of alkaline magma melting, and zone 5 can be the source of mafic tholeiitic magma.     

On the composition and origin depth of basaltic magma in the upper mantle

The depths of mantle melting zones can be constrained by forward (in terms of physicochemical thermodynamics) or inverse (in terms of equilibrium thermodynamics) modeling. However, there is discrepancy in this respect between fluid-dynamic models of decompression melting in convecting upper mantle and thermodynamic models of basaltic magma sources beneath mid-ocean ridges. We investigate the causes of the mismatch in melting depth predictions with reference to the magmatic systems of the Basin and Range Province in the western margin of North America. The inverse solutions turn out to represent melts from different substrates (depth facies) in the lithospheric mantle, while modeling decompression melting in convecting fertile upper mantle refers to the depths the faults in spreading zones never reach. The discrepancy between forward and inverse solutions may be due to the fact that the respective depth estimates correspond to different levels of the same mantle–crust magmatic systems.     

Modeling the mantle-crust ore-magmatic systems of the Siberian traps

We consider the applications of existing mathematical models to heat and mass transfer dynamics in different zones of mantle-crust magmatic systems and discuss problems concerning quantitative modeling of mineralization associated with fractional crystallization of mafic melts in magma chambers, with or without crustal contamination.