Multi-And Monoscale Attributes For Well And Seismic Data
Edges in a medium are the primary source of coherent reflections because they exhibit a large or even diverging amplitude behavior for their derivatives. Generally the medium properties are not only assumed to jump across interfaces, limiting the edge's singular behavior to that of a jump di...
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| Other Authors: | |
| 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/1721.1/75420 |
| _version_ | 1826198254191116288 |
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| author | Herrmann, Felix J. |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Herrmann, Felix J. |
| author_sort | Herrmann, Felix J. |
| collection | MIT |
| description | Edges in a medium are the primary source of coherent reflections because they exhibit a
large or even diverging amplitude behavior for their derivatives. Generally the medium
properties are not only assumed to jump across interfaces, limiting the edge's singular
behavior to that of a jump discontinuity, but the interfaces are also assumed to be well
separated. Multiscale analysis on well data shows that the model of a jump discontinuity
is too limited to account for the scaling behavior displayed by these types of data
sets across the seismic scale range. It also demonstrates that the edges are not well
separated. These observations coined two generalizations. First the jump is generalized
to a wider class of scale exponent indexed transitions of which the jump is a special case. Secondly the edges are allowed to accumulate. The first part of this paper is devoted to the substantiation of these two generalizations. It introduces the necessary tools for the multiscale analysis, which characterizes the individual edges by means of scaling exponents and the overall texture by singularity spectra. The first part is concluded with a discussion on the application to well and seismic data.
In the second part a complementary method to obtain information on the scaling
is proposed. It is aimed to deal with the unfortunate fact that the scale content of the
seismic signal is relatively small, making it difficult to conduct the multiscale analysis. For instance it is hard to obtain estimates for the local scaling exponents, characterizing the different types of transitions via their induced reflectivity. The novel method presented uses fractional differentiations/integrations to estimate the scale exponents at a fixed scale.
The estimated scale exponents not only capture the local scaling characteristics but
are also related to the local frequency behavior of the reflections. In this capacity they constitute local stratigraphical texture parameterizations. Local texture is relevant for the identification of the major geological markers as well as for localization and characterization of the major channels and barriers for the fluid flow being all important characteristics for the reservoir. Multifractal singularity spectra, on the other hand, provide more general information on the global texture and they are highly relevant for geological sequences and for the properties of the reservoir rock. |
| first_indexed | 2024-09-23T11:01:49Z |
| format | Technical Report |
| id | mit-1721.1/75420 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T11:01:49Z |
| publishDate | 2012 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/754202019-04-10T23:57:04Z Multi-And Monoscale Attributes For Well And Seismic Data Herrmann, Felix J. Massachusetts Institute of Technology. Earth Resources Laboratory Herrmann, Felix J. Edges in a medium are the primary source of coherent reflections because they exhibit a large or even diverging amplitude behavior for their derivatives. Generally the medium properties are not only assumed to jump across interfaces, limiting the edge's singular behavior to that of a jump discontinuity, but the interfaces are also assumed to be well separated. Multiscale analysis on well data shows that the model of a jump discontinuity is too limited to account for the scaling behavior displayed by these types of data sets across the seismic scale range. It also demonstrates that the edges are not well separated. These observations coined two generalizations. First the jump is generalized to a wider class of scale exponent indexed transitions of which the jump is a special case. Secondly the edges are allowed to accumulate. The first part of this paper is devoted to the substantiation of these two generalizations. It introduces the necessary tools for the multiscale analysis, which characterizes the individual edges by means of scaling exponents and the overall texture by singularity spectra. The first part is concluded with a discussion on the application to well and seismic data. In the second part a complementary method to obtain information on the scaling is proposed. It is aimed to deal with the unfortunate fact that the scale content of the seismic signal is relatively small, making it difficult to conduct the multiscale analysis. For instance it is hard to obtain estimates for the local scaling exponents, characterizing the different types of transitions via their induced reflectivity. The novel method presented uses fractional differentiations/integrations to estimate the scale exponents at a fixed scale. The estimated scale exponents not only capture the local scaling characteristics but are also related to the local frequency behavior of the reflections. In this capacity they constitute local stratigraphical texture parameterizations. Local texture is relevant for the identification of the major geological markers as well as for localization and characterization of the major channels and barriers for the fluid flow being all important characteristics for the reservoir. Multifractal singularity spectra, on the other hand, provide more general information on the global texture and they are highly relevant for geological sequences and for the properties of the reservoir rock. 2012-12-12T18:12:48Z 2012-12-12T18:12:48Z 1999 Technical Report http://hdl.handle.net/1721.1/75420 Earth Resources Laboratory Industry Consortia Annual Report;1999-06 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Herrmann, Felix J. Multi-And Monoscale Attributes For Well And Seismic Data |
| title | Multi-And Monoscale Attributes For Well And Seismic Data |
| title_full | Multi-And Monoscale Attributes For Well And Seismic Data |
| title_fullStr | Multi-And Monoscale Attributes For Well And Seismic Data |
| title_full_unstemmed | Multi-And Monoscale Attributes For Well And Seismic Data |
| title_short | Multi-And Monoscale Attributes For Well And Seismic Data |
| title_sort | multi and monoscale attributes for well and seismic data |
| url | http://hdl.handle.net/1721.1/75420 |
| work_keys_str_mv | AT herrmannfelixj multiandmonoscaleattributesforwellandseismicdata |