Full Waveform Inversion of Cross-Hole Stress Waves for Structural Integrity Testing of Drilled Shafts

Cross-hole sonic logging (CSL) is a common quality assurance measure for the evaluation of the structural integrity of drilled shafts. The results of CSL can be supplemented by a set of tomographic images generated by cross-hole tomography (CT). Although the same access tubes, sources and receivers are used in both methods, CT has the advantage of providing a higher quality image of the possible anomalies in drilled shafts. Nevertheless, it has been reported in literature that the CSL and CT miss anomalies with sizes of smaller than 10 percent of the cross sectional area of the drilled shaft. This implies poor resolution despite the high-frequency of the stress waves utilized in these methods. This issue with resolution can be at least partially attributable to the fact that CT relies entirely on the inversion of the first time of arrival and ignores the information embedded in the rest of the recorded traces. This study examines the application of full waveform inversion (FWI) to generate a higher resolution image of the possible defects in drilled shafts from the same data used for cross-hole tomography. FWI is a wave-field method that aims to directly match the recorded traces with traces obtained from a numerical model of the domain. This has the benefit of avoiding the selection of the first time of arrival, along with increasing the resolution of the final image due to extracting more information out of the traces. Through a series of numerical simulations, synthetic traces were generated from a drilled shaft with defects of known mechanical properties, dimensions, and location. These traces were then inverted to evaluate the performance of FWI for structural integrity testing of the drilled shafts. INTRODUCTION The presence of construction defects can compromise the structural integrity of drilled shafts and negatively affect their performance (O’Neil 1991; Sarhan et al. 2002; O’Neil et al. 2003; Poulos 2005). Several non- destructive testing (NDT) methods exist that are currently used for the evaluation of the structural integrity of drilled shafts. Cross-hole sonic logging (CSL), cross-hole sonic tomography (CT), and thermal integrity profiling (TIP) are well-established and documented in the industry and practical manuals (Brown et al. 2010). NDT methods prevent the need for coring and excavation and are relatively fast and cost effective. Successful implementation of these techniques has also been reported in the literature (Branagan et al. 2000; Iskander et al. 2001; Mullin 2010; Johnson 2016).