## 6 Real Data Example  
In this section, the proposed adaptive fusion sampling strategy is demonstrated using a set of CPT-sounding geotechnical data and MASW data along the A-A\({}^{\prime}\) cross-section in Christchurch, New Zealand, to evaluate soil liquefaction potential and induced surface reconsolidation settlement [43]. In February 2011, a magnitude 6.2 earthquake struck the site and resulted in extremely severe liquefaction occurred at the site. Based on ground motions recorded nearby during that time, \(a_{max}=0.28\) g.  
As shown in Figure 2, M = 5 CPT soundings were conducted within the site, arranged along the horizontal direction with horizontal distances of 15.7 m, 25.2 m, 10.1 m, and 39 m, corresponding to the numbers CPT_31917, CPT31914, CPT31913, CPT31918, and CPT31911, respectively, represented by solid triangles. As shown by the red solid line in the figure, 2D MASW soundings of about 90 m were also performed near these five CPT soundings, and \(V_{s}\) data at depths along the red solid line can be obtained from MASW. In this study, CPT measurement data and \(V_{s}\) data at depths of about 1.0-8.0 m can be projected onto the same vertical cross-section for adaptive fusion sampling study, as shown in Figures 2 and 3. Figure 2: Site overview and location of five CPT soundings and MASW soundings. According to the measurement tools in the New Zealand Geotechnical Database, CPT_31911 is offset by 4.70 m from the same cross-section, CPT_31913 is offset by 4.40 m from the same cross-section, CPT_31914 is offset by 4.60 m from the same cross-section, CPT_31917 is offset by 4.75 m from the same cross-section, and CPT_31918 is offset by 4.72 m [43]. According to the results of [PERSON] et al. [24] in using multi-source Bayesian compressive sampling to fuse geotechnical and geophysical data for 2D subsurface site characterization, the effect of local offsets on the fused sampling of subsurface spaces was not significant. In addition, [PERSON] and [PERSON] [34] developed an intelligent sampling strategy for multi-stage geotechnical site investigation in planning cross-sections using Voronoi diagrams, BCS, and information entropy, with offset distances within [9.66 m, 14.71 m] for the effective sampling locations measured in the preliminary stages. Therefore, the offsets in this study are within a reasonable range in the projection process. CPT measurement data in Figure 3 has abundant \(q_{c}\) data and \(f_{s}\) data along the depth direction, which can be downloaded from the New Zealand Geotechnical Database [43]. As shown in Figure 4, \(V_{s}\) data are distributed throughout the cross-section at 20 m/s intervals and are used in MSF-BCS. The statistical results of this \(q_{c}\) and \(V_{s}\) data are as follows (Table 1). Geotechnical site characterization is a multi-stage process, and the number and location of initial CPT soundings are typically determined through the engineering experience and expertise of the geotechnical engineer, considering the costs and risks associated with a site-built building and the value of the information. Moreover, when the use of geotechnical site investigations integrated with geophysical techniques is considered in the project, the \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Parameters** & \(q_{c}\) **(CPT\_31917)** & \(q_{c}\) **(CPT\_31914)** & \(q_{c}\) **(CPT\_31913)** & \(q_{c}\) **(CPT\_31918)** & \(q_{c}\) **(CPT\_31911)** & \(V_{s}\) \\ \hline Number & 176 & 176 & 176 & 176 & 176 & 128 \\ Range & 0.46–9.78 & 1.22–10.64 & 0.46–13.66 & 0.56–25.90 & 1.41–41.36 & 70.35–241.00 \\ \(\mu\) & 4.00 & 6.77 & 6.99 & 8.60 & 16.06 & 126.77 \\ \(\sigma\) & 2.56 & 2.21 & 3.57 & 5.52 & 8.87 & 32.37 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Statistical analysis of \(q_{c}\) and \(V_{s}\) data. Figure 4: \(V_{s}\) (m/s) data of MASW along A-A’. Figure 3: CPT data: (**a**) CPT_31917; (**b**) CPT_31914; (**c**) CPT_31913; (**d**) CPT_31918; (**e**) CPT_31911.