Analysis on Large-Strain Nonlinear Consolidation of PVD-Improved Soft Soils with Non-Darcian Flow Considering Variable Well Resistance and Vacuum Pressure

Data Availability Statement

Acknowledgments

Notation

a

vertical coordinate in Lagrangian coordinate system;

b

coefficient of the decrease of the PVD discharge capacity with time;

C_c

compressibility index;

C_kh

radial permeability index;

C_kv

vertical permeability index;

c

coefficient of the decrease of the PVD discharge capacity with depth;

e

void ratio;

e₀

initial void ratio;

e_ref

reference void ratio;

H

initial thickness of soft soil layer;

i

hydraulic gradient;

i₀

i₁(m − 1)/i;

i₁

critical hydraulic gradient value in Hansbo’s flow model;

i_a

vertical hydraulic gradient;

i_r

radial hydraulic gradient;

k

permeability coefficient;

k_h

radial permeability coefficient of the undisturbed soil;

k_href

reference value of k_h;

k_v

vertical permeability coefficient of the undisturbed soil;

k_vref

reference value of k_v;

k_w

permeability coefficient of the PVD;

k_w0

initial value of k_w;

m

index of exponential function in Hansbo’s flow model;

n

drain spacing ratio;

p

vacuum pressure;

q

surcharge loading;

q_a

discharge of vertical flow in Lagrangian coordinate;

q_r

discharge of radial flow;

$q_{\xi }$

discharge of vertical flow in convective coordinate;

r

radial coordinate;

r_e

radius of the effect zone;

r_s

radius of the smear zone;

r_w

radius of the PVD;

S

settlement;

S_t

settlement at the top surface of soils at time t;

S_∞

final settlement at the surface of soils;

t

time;

U_p

average degree of consolidation defined by stress;

U_st

average degree of consolidation defined by strain;

u_s

excess pore-water pressure in soils;

${\overline{u}}_s$

average value of u_s at depth a;

u_w

excess pore-water pressure in the PVD;

V

volume of soil element;

v_s

velocity of soil particles;

v_w

velocity of the flow in the PVD;

$v_w^a$

velocity of flow in vertical direction;

$v_w^r$

velocity of flow in radial direction;

β

ratio of final discharge capacity to initial discharge capacity;

γ_sat

unit weight of saturated soils;

γ_w

unit weight of water;

κ

$k/({\mathrm{mi}}_1^{m-1})$;

ξ

vertical coordinate in convective coordinate system;

ξ₀

thickness of soil layers at time t in the convective coordinate;

σ′

effective stress;

${\overline{\sigma }}^{\mathrm{\prime }}$

average value of σ′ at depth a;

${\sigma }_0^{\mathrm{\prime }}$

initial effective stress; and

${\overline{\sigma }}_{\mathrm{ref}}^{\mathrm{\prime }}$

reference value of ${\overline{\sigma }}^{\mathrm{\prime }}$.

References