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Slope stability along active and passive continental margins ... - E-LIB

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1 Introduction<br />

The conductivity value was then converted to permeability K (m 2 ) using the following equation:<br />

Where μ is viscosity (0.0008Pa×s), ρ is density of water (1.02 g/cm 3 ).<br />

k <br />

K (1.22)<br />

g<br />

Permeability anisotropy r k is commonly defined as the ratio of the hydraulic conductivity parallel to the<br />

bedding plane (i.e., horizontal flow), k h , to the hydraulic conductivity in the direction perpendicular to<br />

the bedding plane (i.e., vertical flow), k v .<br />

rk kh kv<br />

(1.23)<br />

The samples were trimmed to a height of about 7 cm <strong>and</strong> a diameter of 3.57 cm. ASTM 5084-03<br />

st<strong>and</strong>ard was used as guidelines for general procedures (ASTM 2003). Different effective stress values<br />

up to 140 kPa were applied on the samples to monitor the change of the coefficient of permeability at<br />

different depth levels.<br />

Through Terzaghi’s theory of one-dimensional consolidation, the coefficient of permeability (k) can<br />

also be calculated by equation following using consolidation test results:<br />

k cv mv <br />

w<br />

(1.24)<br />

Where m v is the coefficient of volume compressibility (m 2 /MN), defined as the volume change per unit<br />

volume per unit increase in effective stress. If, for an increase in effective stress form σ’ 0 to σ’ 1 , the<br />

void ratio decrease from e 0 to e 1 , then<br />

m<br />

1<br />

<br />

e<br />

e<br />

0 1<br />

v<br />

<br />

1 e0 '<br />

1<br />

'<br />

0<br />

<br />

<br />

<br />

(1.25)<br />

c v is the coefficient of consolidation (m 2 /year). Since k <strong>and</strong> mv are assumed as constants, c v is constant<br />

during consolidation. The log time method (Casagr<strong>and</strong>e method) was used to determine c v (Craig<br />

2004):<br />

2<br />

0.196<br />

d<br />

cv<br />

(1.26)<br />

t<br />

Where d is half of the average thickness of the specimen for the particular pressure increment, t 50 is the<br />

time consuming when arriving at the half point for primary consolidation (more detail see Craig 2004).<br />

50<br />

Fig. 1.12 Schematic diagram showing the high pressure constant-flow permeameter, 1: Air pressure<br />

booster, 2: Air pressure tank, 3: Air pressure regulating proportional valve, 4: Air pressure Regulator, 5:<br />

Tailwater burette, 6: Triaxial Test Cell, 7: Test Specimen inside flexible membrane, 8: Medium<br />

decollator, 9: Headwater burette (left) <strong>and</strong> picture of test apparatus (right).<br />

29

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