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Furthermore, at one atmospheric pressure, the maximum probable temperature for the vaterite calcite equilibrium boundary and the vaterite aragonite metastable equilibrium boundary (both with a negative Clauseus Clayperon dT/dP slope) was estimated to be 10 and 15°C, respectively [[40]].
Using the principle of minimum complementary energy, an optimal admissible stress field is derived that satisfies equilibrium, boundary and traction continuity conditions.
A shooting method is applied to obtain numerical solutions to the nonlinear equilibrium boundary value problem and the linear vibration boundary value problem.
In this work we investigate the physical meaning and interpretation of those solutions and if they satisfy important physical conditions (equilibrium, boundary and compatibility conditions).
As shown in Fig. 55, liquid oil also has a buoyancy-controlled threshold, and the force equilibrium boundary corresponds to the burial depth with a porosity between 10 % and 11%%.
The presence of triple lines and quadruple points changes the equilibrium boundary shapes; this does not affect the pinning forces greatly, whereas the pinning force is a strong function of the particle shape.
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These data show that with increasing pressure and/or decreasing temperature, the equilibrium boundaries shift to higher CbrineKCl/CbrineHCl values in the brine.
A thermodynamic model was developed from the determined equilibrium boundaries that allows for the comparison of low- and high-salinity systems.
The K-feldspar andalusite/sillimanite quartz brine equilibrium boundaries at 80 MPa and 600, 650, 700, and 750 °C are at CbrineK-feldspar andalusite/sillimanite quartz brinend 6 ± 2, requilibrium (uncertainties are half-widths of the reversal boundaries
Mohammadi and Richon (2007) applied Valderrama Patel Teja EOS (VPT-EOS) in combination with non-density dependent (ANDD for short) mixing rule proposed by Avlonitis et al. (1994) to predict the phase equilibrium boundaries of hydrate system containing methane and ethylene glycol.
One can mathematically transform the non-equilibrium boundary conditions for a thermal transport process into a mechanical field.
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