Radon Transform Based on Waveform for AVO-Preserving Data Construction

Round 1

Reviewer 1 Report

The manuscript is clear and well structured. It presents an original method of analysis that could be very useful and above all faster. Appropriate application examples are presented clearly. I believe the manuscript is worth publishing.

Author Response

Thank you for your affirmation and suggestion. In order to further improve the article,

I use the editing services of MDPI. They certify that the article has been checked for correct use of grammar and common technical terms, and edited to a level suitable for reporting research in a scholarly journal.

Author Response File: Author Response.docx

Reviewer 2 Report

The manuscript is interesting and the method presented is a valuable modification of Radon transform. The text needs some improvement though - please see the detailed comments attached. My strongest suggestion would be to improve figures - especially comparisons of the algorithms, adjust the scale for the reader to see differences. Please avoid statements like "obvious" - it is repeated in the text multiple times - it is too subjective for a scientific paper. Also, citations are not formatted - please correct them.  

Comments for author File: Comments.pdf

Author Response

Thank you very much for your comments. I have revised the positions you marked in the article one by one. The initial letter of each section is capitalized, and using you suggest to modify some words.

 

1 I use the editing services of MDPI. They certify that the article has been checked for correct use of grammar and common technical terms, and edited to a level suitable for reporting research in a scholarly journal.

 

2 I improve the figures according your advice. I enlarge pannels of the reflecting waves to compare clearly in figure 6 and figure 12.

 

3 I modified everywhere that used "obvious" avoiding subjective expression.

 

4Thank you for your advice of the format of the reference. The article I provided is the word version. The format changes after editor converting it to PDF, resulting in errors in the references. I checked it again and the format of references is correct at present.

Author Response File: Author Response.docx

Reviewer 3 Report

Dear All,

 

Authors have tried to preserve the AVO characteristic during hyperbolic Radon transform.

                            

My major concerns are:

 

1. The text body needs a major English correction. Some parts are not understandable.
2. Equation 1, p is the slowness, how do you use curvature to get a tau-p map?
3. How double forward RT can provide a correct tau-p map?
4. Forward operation transforms the signal from data space to the model space, so what is the second forward RT supposed to do?
5. In Figure 6, the residuals between original and reconstructed signals obtained by two methods mention that CGRT does a better job than WRT. Just the amplitude normalization in the CGRT is not the best. But for the result given by WRT polarity distortion also phase delays are visible.
6. Figure 8 re-confirms the above statement.
7. To eliminate some noise in the tau-p map, it is possible to apply an iterative inversion method. Truncation (like the result seen in Figure 10c) distorts the wavelet shape and the reconstructed event will be way different from the original one (it is highly visible in Figure 11b).
8. In the result obtained by WRT (Figure 11b) not only the amplitudes but also the waveforms are highly distorted.
9. Again, CGRT shows a better result than WRT in Figure 11.
10. Figure 12, least-square error between the original and the reconstructed section can reveal which method does a better job.

 

My minor concerns are:

 

1. The citation is not consistent in the text body and in the reference section.
2. Typo mistakes (such as: page 5, Line 163)

 

 

Comments for author File: Comments.pdf

Author Response

Thank you very much for you advice. I provided a  point-by-point response. Please see the attachment

Author Response File: Author Response.docx