Table 1. List of parameters included in the theoretical velocity equations used in this study.
Symbols | Definitions |
---|---|
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Porosity |
![]() |
Proportion of solid |
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Proportion of gas hydrate |
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Proportion of water |
![]() |
Proportion of free gas |
ch = ![]() ![]() ![]() |
Gas hydrate concentration |
s ![]() ![]() ![]() ![]() ![]() |
Grain saturation |
sh = ![]() ![]() ![]() ![]() |
Gas hydrate saturation |
sw = ![]() ![]() ![]() |
Water saturation |
sg = ![]() ![]() ![]() |
Free gas saturation |
![]() ![]() |
Effective porosity |
![]() ![]() |
Density of grain |
![]() |
Density of gas hydrate |
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Density of water |
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Density of free gas |
![]() ![]() ![]() ![]() ![]() |
Density of solid part |
![]() ![]() ![]() |
Density of fluid part |
![]() ![]() ![]() ![]() ![]() |
Total density |
C ![]() |
Compressibility of grain |
Ch |
Compressibility of gas hydrate |
Cw |
Compressibility of water |
Cg |
Compressibility of free gas |
Cb = ![]() ![]() ![]() ![]() |
Average compressibility of the solid part (Schön, 1996) |
Cf = ![]() ![]() |
Average compressibility of the fluid part (Schön, 1996) |
z |
Depth below sea floor |
g |
Acceleration of gravity |
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Differential pressure |
Pd0 |
Differential pressure immediately below sea floor |
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Porosity immediately below sea floor |
Cp = (1 - ![]() ![]() |
Pore compressibility |
Cm = (1 - ![]() ![]() |
Compressibility of the matrix |
ß = Cb/Cm |
Compressibility ratio |
µsm0 |
Shear modulus for matrix without gas hydrate |
µsmKT |
Kuster-Toksöz's shear modulus (Kuster-Toksöz, 1974) |
µ = [µsmKT - µsm0][ ![]() ![]() |
Solid matrix shear modulus (Leclaire, 1992) |
µs |
Rigidity of grains |
µh |
Rigidity of gas hydrate |
µ = ( ![]() ![]() ![]() |
Average rigidity of the skeleton |
k |
Coupling factor |