Tensile Overpressure: How to Trap a Liquid-Filled Fracture?

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SUMMARY

The discussion focuses on the mechanics of trapping liquid-filled fractures, specifically in the context of magma derived from gravitational separation of local melts. The driving pressure of the liquid is defined by the equation Pd = Pm - sigma3, where sigma3 represents the minimum compressional stress, Pm is the fluid pressure, and Po is the overpressure. The upward movement of the fluid is contingent upon its density being less than that of the surrounding rock, and the upward migration ceases at density transitions like the Moho, where the density differential is neutralized. The challenge of achieving negative overpressure in the absence of voids within the Earth is highlighted as a critical point of confusion.

PREREQUISITES
  • Understanding of fluid mechanics in geological contexts
  • Familiarity with pressure equations in geophysics, specifically Pd = Pm - sigma3
  • Knowledge of magma formation and density differentials
  • Awareness of geological structures such as the Moho
NEXT STEPS
  • Research the mechanics of negative overpressure in geological formations
  • Study the properties and behavior of magma in relation to surrounding rock densities
  • Explore the implications of density transitions in geophysical processes
  • Investigate methods for modeling fluid dynamics in fractured rock systems
USEFUL FOR

Geologists, geophysicists, and researchers studying magma dynamics and fluid mechanics in geological formations will benefit from this discussion.

Nick
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Hello,

I'm working on how liquid-filled fractures can propagates or be trapped.

I understand that the driving pressure of liquid : Pd = Pm - sigma3
sigma 3 = minimum compressional stress
Pm = (rho_fluid*g*z) + Po = fluid pressure inside the fracture
rho_fluid*g*z = weight of the fluid column
Po = overpressure

But I don't understand how can you trap a fluid-filled fracture in the case of example 4 in the attached document. Since I will need negative overpressure.. and there is no void inside the earth..

thank you
 

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Consider the fluid as a magma derived from gravitational separation of the local melt. That fluid has a density that is less than the surrounding rock. Where there is a significant vertical connection for the fluid there is a differential pressure between the fluid and the rock that forces the fluid to move upwards creating a fracture that may close behind. Fluid can only rise while the fluid is less dense than the surrounding rock. When it reaches a density transition such as the Moho where there is a step change in rock density, the density differential is removed and so stops the upward migration.

In diagram 4 the fluid density is intermediate between crust and mantle. The bubble of fluid therefore stops opening a fracture and halts at the Moho.
 

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