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Weakly Nonlinear Regimes near Instability Threshold in Geothermal Systems

Explore weakly nonlinear regimes near the threshold of instability in geothermal systems, focusing on the geometry, equations, boundary conditions, linear and long-wave instabilities. The high-permeability domain occupied by vapor and low-permeability domain with water present intricate challenges.

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Weakly Nonlinear Regimes near Instability Threshold in Geothermal Systems

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  1. Weakly-nonlinear regimes near the threshold of instability in geothermal systems Andrey Il’ichev Steklov Mathematical Institute, Moscow George Tsypkin Institute for problems in mechanics, Moscow

  2. Geothermal systems Geometry of the problem; is a high-permeability domain, 1 is a low-permeability domain occupied by water, 2 is the low-permeability domain occupied by vapor, is the high-permeability domain. .

  3. Equations and boundary conditions div =0, , , div =0, , , , , , , , Log , ,

  4. Vertical flows

  5. Linear stability

  6. Long-wave instability

  7. KPP equation

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