图  1   试验方案对SWCC置信区间的影响

Figure  1.   Effects of experimental schemes on CIs of SWCC

图  2   SWCC试验单阶段贝叶斯优化设计（OBEDO）框架

Figure  2.   One-stage Bayesian experimental design optimization (OBEDO) framework for SWCC tests

图  3   附加点D₁，D₂，…，D_n-4分布

Figure  3.   Positions of additional points D₁, D₂, …, D_n-4

图  4   典型土水特征曲线

Figure  4.   Typical SWCC

图  5   基于${\bar \psi _{\text{b}}}$，${\bar \psi _{\text{i}}}$和${\bar \psi _{\text{r}}}$的SWCC分区

Figure  5.   Partition of SWCC

图  6   控制点和附加点分布

Figure  6.   Positions of control points and additional point

图  7   利用先验信息确定${\bar \psi _{\text{b}}}$，${\bar \psi _{\text{i}}}$和${\bar \psi _{\text{r}}}$

Figure  7.   Determination of ${\bar \psi _{\text{b}}}$, ${\bar \psi _{\text{i}}}$ and ${\bar \psi _{\text{r}}}$ based on prior knowledge

图  8   SSO过程中期望效用中间阈值的变化

Figure  8.   Evolution of intermediate threshold value of expected utility during SSO

图  9   测点数目n对应的期望效用中间阈值U_m的变化

Figure  9.   Evolution of intermediate threshold value of expected utility U_m for different measuring points n

图  10   不同测点数目n时的最大期望效用

Figure  10.   Expected utilities of optimal experimental schemes with different numbers of measuring points n

图  11   SWCC实测数据

Figure  11.   Measured data of SWCC

图  12   随机试验方案的效用

Figure  12.   Utilities of random experimental schemes

图  13   基于BOS模拟数据和ROS实测数据获得的SWCC置信区间对比

Figure  13.   CIs of SWCC with simulated data of BOS and measuring data of ROS

图  14   不同先验信息条件下测点数目n对应的最大期望效用值

Figure  14.   Maximum expected utilities using different prior knowledge

图  15   不同先验范围对应的最优设计方案BOS

Figure  15.   Optimal design scheme BOS using different prior knowledge