The authors would like to thank the reviewers again for their time and additional comments. Based on the comments, we have attempted to cover all of their points and made changes of the manuscript, which are detailed below.
Reviewer 2:The submitted manuscript presents very valuable information about the liquefaction induced deformation mechanism under the foundation in fully as well as well in partially saturated sands. However, the originality of the paper concerns me since there are figures and content published in another technical paper ("Centrifuge testing to evaluate the liquefaction response of air-injected partially saturated soils beneath shallow foundations" which has just been published in Bulletin of Earthquake Engineering). I would consider this manuscript as a technical note where most of the figures are not included and referred to the published article. The published manuscript and the submitted manuscripts presented the results from the same centrifuge tests. The results were just presented in different manners. There are same figures presented in both manuscripts as below:In the first and second round of revision, the authors were invited to revise the manuscript to address a number of technical comments. In the third round of revision, the most significant issue that has been raised by the reviewer is the originality of the paper. The authors believe that the changes made in the submitted manuscript do go a long way to ensuring that the main concern of the reviewer is addressed within the paper itself.Following the reviewer's comments, the manuscript has been changed significantly. A dataset from a series of two free-field centrifuge tests is included (see the amended Table 1). It is worth stating that the free-field test data has not been published elsewhere. The vast majority of the figures submitted in the second round of revised manuscript are replaced by the original figures. Accordingly, the relevant sections have been rewritten. The content of the paper has been significantly improved by adding more comprehensive discussions and a new dataset. The authors wish to thank the reviewers for this.
2.1-Figure 1 in both manuscripts show the same experimental setup.Answer 2.1-The cross-section of the models is modified following the comment of the reviewer, as given in Fig. 1 in this round of revised paper. Fig. 2 in published manuscript vs Fig. 6 in submitted manuscript. Answer 2.2-Following the reviewer's comment, the acceleration time histories in the previous manuscript ( Fig. 6) are removed from the manuscript and replaced by the shear stress-strain loops, as presented in Fig. 7 in the this round of revised paper. The effect of air injection on the shear stiffness of soil is demonstrated. It is noted that Fig. 2 in the published paper showed only the input (base) acceleration time histories recorded during the tests, whereas Fig. 6 submitted in the second round of revised manuscript presented the horizontal acceleration time histories recorded at different soil layers. Fig.3 in published ma...