Journal metrics

Journal metrics

  • IF value: 4.165 IF 4.165
  • IF 5-year value: 4.075 IF 5-year 4.075
  • CiteScore value: 4.28 CiteScore 4.28
  • SNIP value: 1.501 SNIP 1.501
  • SJR value: 1.060 SJR 1.060
  • IPP value: 4.21 IPP 4.21
  • h5-index value: 29 h5-index 29
  • Scimago H index value: 27 Scimago H index 27
Discussion papers | Copyright
https://doi.org/10.5194/se-2018-48
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 11 Jun 2018

Research article | 11 Jun 2018

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Solid Earth (SE).

Second-order Scalar Wave Field Modeling with First-order Perfectly Matched Layer

Xiaoyu Zhang, Dong Zhang, Qiong Chen, and Yan Yang Xiaoyu Zhang et al.
  • School of Physics and Technology, Wuhan University, Wuhan, Hubei, China

Abstract. The forward modeling of a scalar wave equation plays an important role in the numerical geophysical computations. The finite-difference algorithm in the form of a second-order wave equation is one of the commonly used forward numerical algorithms. This algorithm is simple and is easy to implement based on the conventional-grid. In order to ensure the accuracy of the calculation, absorption layers should be introduced around the computational area to suppress the wave reflection caused by the artificial boundary. For boundary absorption conditions, a perfectly matched layer is one of the most effective algorithms. However, the traditional perfectly matched layer algorithm is calculated using a staggered-grid based on the first-order wave equation, which is difficult to directly integrate into a conventional-grid finite-difference algorithm based on the second-order wave equation. Although a perfectly matched layer algorithm based on the second-order equation can be derived, the formula is rather complex and intermediate variables need to be introduced, which makes it hard to implement. In this paper, we present a simple and efficient algorithm to match the variables at the boundaries between the computational area and the absorbing boundary area. This new boundary matched method can integrate the traditional staggered-grid perfectly matched layer algorithm and the conventional-grid finite-difference algorithm without formula transformations, and it can ensure the accuracy of finite-difference forward modeling in the computational area. In order to verify the validity of our method, we used several models to carry out numerical simulation experiments. The comparison between the simulation results of our new boundary matched algorithm and other boundary absorption algorithms shows that our proposed method suppresses the reflection of the artificial boundaries better and has a higher computational efficiency.

Download & links
Xiaoyu Zhang et al.
Interactive discussion
Status: open (until 15 Sep 2018)
Status: open (until 15 Sep 2018)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
[Subscribe to comment alert] Printer-friendly Version - Printer-friendly version Supplement - Supplement
Xiaoyu Zhang et al.
Xiaoyu Zhang et al.
Viewed
Total article views: 408 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
386 17 5 408 1 1
  • HTML: 386
  • PDF: 17
  • XML: 5
  • Total: 408
  • BibTeX: 1
  • EndNote: 1
Views and downloads (calculated since 11 Jun 2018)
Cumulative views and downloads (calculated since 11 Jun 2018)
Viewed (geographical distribution)
Total article views: 408 (including HTML, PDF, and XML) Thereof 408 with geography defined and 0 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 
Cited
Saved
No saved metrics found.
Discussed
Latest update: 15 Aug 2018
Publications Copernicus
Download
Short summary
We propose a new boundary matched algorithm which can effectively combine the traditional first-order perfectly matched layer algorithm into the conventional-grid finite-difference scheme in a second-order system. This novel boundary method takes the advantages of the conventional-grid scheme and perfectly matched layer boundary conditions, making a good compromise of accuracy, excellent absorption effect and high computational efficiency.Our method is also easy to implement.
We propose a new boundary matched algorithm which can effectively combine the traditional...
Citation
Share