4.4  Influence of Principal Stress 
Difference on Permeability 
Coefficient 
Triaxial seepage shear tests of remodeled soils under 
different principal stress differences were conducted 
according  to  the  test  protocol,  and  the  obtained 
permeability  coefficients  are shown in  Table 6, and 
the  variation  of  permeability  coefficients  with 
principal stress is shown in Fig. 5. 
The data in Figure 5 and Table 6 show that, in tests 
with  the  same  pore  ratio,  seepage  flow  rate,  and 
confining pressure, the permeability coefficient drops 
as  the  main  stress  differential  increases.
 
The  main 
stress difference varies from 0 kPa to 60 kPa, and the 
corresponding  permeability  coefficient  decreases 
from 8.34E-07cm/s to 3.38E-07cm/s, which is a small 
range of permeability coefficient reduction. 
Table  6: Effect of principal stress difference on permea- 
bility coefficient. 
number 
Initial 
void 
ratio 
Confine-
ng 
pressure
(kPa) 
Seepage 
flow
(ml/m-
in) 
Principal 
stress 
differen-
ce
(kPa) 
Permeabili-
ty 
coefficient 
(cm/s) 
HLL13 
1.0  70  0.02  0  8.34E-07 
HLL14 
1.0  70  0.02  20  5.76E-07 
HLL15 
1.0  70  0.02  40  3.98E-07 
HLL16 
1.0  70  0.02  60  3.83E-07 
  
Figure 5: Relationship between principal stress difference 
and permeability coefficient. 
On  the  one  hand  the  applied  principal  stress 
difference increases the vertical pressure on the soil 
sample, and there will be less pore space after vertical 
consolidation. On the other hand, the principal stress 
difference may lead to local deformation of the soil, 
and the cross-sectional area of seepage will increase. 
The larger the principal stress difference is, the more 
obvious the effect from local deformation will be and 
the  larger  the area  of  seepage  cross-section  will  be. 
Therefore,  the  permeability  coefficient  decreases 
with the increase of the principal stress difference. 
5  CONCLUSIONS 
(1)  The  permeability  coefficient  steadily  rises  as 
the initial pore ratio rises, and the final growth trend 
of  the  permeability  coefficient  slows  down.  The 
larger the pore ratio, the better the connectivity of the 
seepage  pores,  and  the  larger  the  contact  surface 
between  the  seepage  water and the particles around 
the  pores. With the  gradual increase of  the seepage 
force,  the  directional  seepage  force  promotes  the 
orderly  arrangement  of  particles,  and  the  more 
orderly pore channels can also make the penetration 
more smooth. 
    (2) The permeability coefficient progressively rises 
as the seepage flow rate rises, and the trend of rising 
permeability  coefficient  quickens.  Permeability 
pressure  is  directly  influenced  by  the  size  of  the 
seepage  flow.  The  greater  the  rate  of  change  in 
permeability pressure, the greater the rate of change 
in permeability, and the greater the ability to modify 
the  skeletal  structure  of  soil  particles,  resulting  in 
improved pore connectivity. 
(3) The permeability coefficient steadily  drops as 
confining  pressure  rises,  and  the  rate  at  which  it  is 
falling slows down. In the seepage test, an increase in 
confining  pressure  can  restrict  the  evolution  of 
seepage  channels,  shrink  soil  pores,  boost  soil 
compactness,  and  weaken  soil  permeability. 
Confining  pressure's  capacity  to  alter  the  internal 
particle skeleton structure of soil during consolidation 
is  waning  as  it  increases.  The  key  point  is  that  its 
pores  are  already  quite  small  when  the  confining 
pressure  is  increased  to  a  certain  degree.  It  is 
challenging  to  minimize  the  pores,  even  while  the 
confining pressure rises. 
(4) The permeability coefficient steadily  declines 
as  the  major  stress  rises,  and  this  decline  trend 
becomes slower. On the one hand, the application of 
the primary stress difference will result in an increase 
in the soil sample's vertical pressure ,and the pores for 
vertical consolidation will be less. On the other hand, 
applying  the  primary  stress  difference  can  cause 
localized soil deformation and expand the seepage's 
cross-sectional  area.  The  influence  of  local 
deformation is more visible and the region of seepage 
cross-section is bigger as the major stress differential 
increases.  As  a  result,  the  permeability  coefficient 
similarly  falls  as  the  primary  stress  difference 
increases. 
 
 
 
 
 
Experimental Study on the Influence of Permeability Coefficient of Granite Residual Soil