Table 1. List of parameters included in the theoretical velocity equations used in this study.
 
Symbols Definitions


Porosity

s

Proportion of solid

h

Proportion of gas hydrate

w

Proportion of water

g

Proportion of free gas

ch = s / (w + h)

Gas hydrate concentration

ss = s / (s + h)

Grain saturation

sh = s / (s + h)

Gas hydrate saturation

sw = w / (w+ g)

Water saturation

sg = g / (w + g)

Free gas saturation

eff = (1 - ch)

Effective porosity

s

Density of grain

h

Density of gas hydrate

w

Density of water

g

Density of free gas

b = sss + shh

Density of solid part

f = sww + sgg

Density of fluid part

m= (1 - eff)b + efff

Total density

Cs

Compressibility of grain

Ch

Compressibility of gas hydrate

Cw

Compressibility of water

Cg

Compressibility of free gas

Cb = (ssCs + shCh) + (ss/Cs + sh/Ch)-1

Average compressibility of the solid part (Schön, 1996)

Cf = (swCw + sgCg) + (sw/Cw + sg/Cg)-1

Average compressibility of the fluid part (Schön, 1996)

z

Depth below sea floor

g

Acceleration of gravity


Differential pressure

Pd0

Differential pressure immediately below sea floor

0

Porosity immediately below sea floor

Cp = (1 - eff/0)/(Pd - Pd0)

Pore compressibility

Cm = (1 - eff)Cb + effCp

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][h/(1 - s)]3.8 + µsm0

Solid matrix shear modulus (Leclaire, 1992)

µs

Rigidity of grains

µh

Rigidity of gas hydrate

µ = (s + h)(sss/µsm + sh/µh)-1

Average rigidity of the skeleton

k

Coupling factor