입자 침강 속도: \[ V_s = \frac{\gamma_s - \gamma_w}{18 \eta} \cdot d^2 \]
\[ \text{유보율 } P = \frac{\text{유보량 (m³)}}{\text{준설토량 (m³)}} \times 100\% \] \[ \text{체적비 } = \frac{1 + e_t}{1 + e_0} = \frac{V_t}{V_0} \]
\[ h_c = \frac{q_u}{\gamma_t \cdot F_s} \quad \text{또는} \quad h_c = \frac{5.14 N_c}{\gamma_t \cdot F_s} \]
배수량 기준:
\[
Q = L \cdot S = k \cdot i \cdot A = k \cdot \frac{\Delta h}{L} \cdot h
\quad \Rightarrow \quad
\Delta h = \frac{L^2 \cdot S}{k \cdot h}
\]
장비주행성능 기준 (지지력 검토):
\[
F_s = \frac{q_u = cN_c + \gamma D_f}{\text{성토하중 + 장비하중}} \geq 1.5
\]
판정지수:
\[
F = \frac{c_u}{\gamma_t \cdot H \cdot D} > 0.04
\]
판정수:
\[
N = \frac{\mu_1 \mu_2 \mu_3 \cdot \gamma_t \cdot H}{c_u} < 1.2
\]
Barron 이론:
\[
\bar{U}_h = 1 - \exp\left( -\frac{8 T_h}{F(n)} \right)
\]
Hansbo (교란 + Well 저항 고려):
\[
\bar{U}_h = 1 - \exp\left( -\frac{8 T_h}{F} \right)
\]
Yoshikuni:
\[
U_h = 1 - \exp\left( -\frac{8 T_h}{F(n) + 0.8L} \right)
\]
개량률:
\[
A' = \frac{\text{개량면적}}{\text{전체면적}} \times 100\%
\]
복합 강도:
\[
c' = A' \cdot c_2 + (1 - A') \cdot c_1, \quad
\tan \phi' = A' \cdot \tan \phi_2 + (1 - A') \cdot \tan \phi_1
\]