Scale And Frequency Dependence Of Reflection And Transmission Coefficients
Well-logs show that heterogeneities occur at many different spatial scales. In this paper, we want to characterize how waves are affected by these heterogeneities, and we study how reflection and transmission coefficients depend on temporal frequency and spatial scale. We use wavelet transformations...
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| Format: | Technical Report |
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Massachusetts Institute of Technology. Earth Resources Laboratory
2012
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| Online Access: | http://hdl.handle.net/1721.1/75376 |
| _version_ | 1826205249648459776 |
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| author | Imhof, Matthias G. |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Imhof, Matthias G. |
| author_sort | Imhof, Matthias G. |
| collection | MIT |
| description | Well-logs show that heterogeneities occur at many different spatial scales. In this paper, we want to characterize how waves are affected by these heterogeneities, and we study how reflection and transmission coefficients depend on temporal frequency and spatial scale. We use wavelet transformations to filter certain spatial scales from the velocity logs. The scale-filtered logs serve as input for a numerical layer-stack model to calculate reflection and transmission coefficients as functions of frequency and scale. We find that transmission coefficients are largely independent of frequency or scale. They depend mostly on average slowness. Contrarily, reflection coefficients are extremely sensitive to the perturbations of the slownesses, even at low frequencies. |
| first_indexed | 2024-09-23T13:10:02Z |
| format | Technical Report |
| id | mit-1721.1/75376 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:10:02Z |
| publishDate | 2012 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/753762019-04-10T18:05:24Z Scale And Frequency Dependence Of Reflection And Transmission Coefficients Imhof, Matthias G. Massachusetts Institute of Technology. Earth Resources Laboratory Imhof, Matthias G. Well-logs show that heterogeneities occur at many different spatial scales. In this paper, we want to characterize how waves are affected by these heterogeneities, and we study how reflection and transmission coefficients depend on temporal frequency and spatial scale. We use wavelet transformations to filter certain spatial scales from the velocity logs. The scale-filtered logs serve as input for a numerical layer-stack model to calculate reflection and transmission coefficients as functions of frequency and scale. We find that transmission coefficients are largely independent of frequency or scale. They depend mostly on average slowness. Contrarily, reflection coefficients are extremely sensitive to the perturbations of the slownesses, even at low frequencies. Massachusetts Institute of Technology. Borehole Acoustics and Logging Consortium Massachusetts Institute of Technology. Earth Resources Laboratory. Reservoir Delineation Consortium 2012-12-11T16:09:38Z 2012-12-11T16:09:38Z 1998 Technical Report http://hdl.handle.net/1721.1/75376 Earth Resources Laboratory Industry Consortia Annual Report;1998-03 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Imhof, Matthias G. Scale And Frequency Dependence Of Reflection And Transmission Coefficients |
| title | Scale And Frequency Dependence Of Reflection And Transmission Coefficients |
| title_full | Scale And Frequency Dependence Of Reflection And Transmission Coefficients |
| title_fullStr | Scale And Frequency Dependence Of Reflection And Transmission Coefficients |
| title_full_unstemmed | Scale And Frequency Dependence Of Reflection And Transmission Coefficients |
| title_short | Scale And Frequency Dependence Of Reflection And Transmission Coefficients |
| title_sort | scale and frequency dependence of reflection and transmission coefficients |
| url | http://hdl.handle.net/1721.1/75376 |
| work_keys_str_mv | AT imhofmatthiasg scaleandfrequencydependenceofreflectionandtransmissioncoefficients |