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REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1
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| Zeitschriftentitel: | Geophysical Prospecting |
|---|---|
| Personen und Körperschaften: | , |
| In: | Geophysical Prospecting, 40, 1992, 8, S. 873-884 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
|
| Schlagwörter: |
| author_facet |
BORTFELD, R. KIEHN, M. BORTFELD, R. KIEHN, M. |
|---|---|
| author |
BORTFELD, R. KIEHN, M. |
| spellingShingle |
BORTFELD, R. KIEHN, M. Geophysical Prospecting REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 Geochemistry and Petrology Geophysics |
| author_sort |
bortfeld, r. |
| spelling |
BORTFELD, R. KIEHN, M. 0016-8025 1365-2478 Wiley Geochemistry and Petrology Geophysics http://dx.doi.org/10.1111/j.1365-2478.1992.tb00557.x <jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>The effect of wave‐equation migration on amplitudes is determined. This effect is derived for zero‐offset traces and for second‐order approximations of the traveltimes. Three steps are followed: firstly, the amplitudes of zero‐offset traces are established; secondly minus half the traveltimes are used as input for downward continuation in migration (forward in space and time); thirdly, the amplitudes of the migrated events are determined by downward continuation (at zero‐traveltimes).</jats:p><jats:p>Layered models (piles of homogeneous layers) with smooth interfaces are used. The determinants of the 2 × 2 matrices <jats:bold>B</jats:bold><jats:sub>0</jats:sub> obtained for these models are responsible for the main effect on migration. The migration result primarily depends on the overburden as the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>). Drastic effects can occur over small distances. For weakly reflecting media, it is confirmed that wave‐equation migration gives “correct” results (but the input data must be multiplied by <jats:italic>V</jats:italic><jats:sub>0</jats:sub><jats:italic>T</jats:italic><jats:sub>0</jats:sub>), i.e. amplitudes proportional to the reflection coefficient. For any velocity changes, the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>) will, in general, give inaccurate migration amplitudes and inaccurate lithological interpretations. In a simple step, true amplitude migration, or exact migration, is derived from our results.</jats:p><jats:p>It is assumed that no focus phenomena are present. The effect of buried foci is discussed briefly.</jats:p> REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)<sup>1</sup> Geophysical Prospecting |
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10.1111/j.1365-2478.1992.tb00557.x |
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Online |
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Geologie und Paläontologie Geographie Chemie und Pharmazie Physik |
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Wiley, 1992 |
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0016-8025 1365-2478 |
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1992 |
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Geophysical Prospecting |
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49 |
| title |
REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_unstemmed |
REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_full |
REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_fullStr |
REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_full_unstemmed |
REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_short |
REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_sort |
reflection amplitudes and migration amplitudes (zero‐offset situation)<sup>1</sup> |
| topic |
Geochemistry and Petrology Geophysics |
| url |
http://dx.doi.org/10.1111/j.1365-2478.1992.tb00557.x |
| publishDate |
1992 |
| physical |
873-884 |
| description |
<jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>The effect of wave‐equation migration on amplitudes is determined. This effect is derived for zero‐offset traces and for second‐order approximations of the traveltimes. Three steps are followed: firstly, the amplitudes of zero‐offset traces are established; secondly minus half the traveltimes are used as input for downward continuation in migration (forward in space and time); thirdly, the amplitudes of the migrated events are determined by downward continuation (at zero‐traveltimes).</jats:p><jats:p>Layered models (piles of homogeneous layers) with smooth interfaces are used. The determinants of the 2 × 2 matrices <jats:bold>B</jats:bold><jats:sub>0</jats:sub> obtained for these models are responsible for the main effect on migration. The migration result primarily depends on the overburden as the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>). Drastic effects can occur over small distances. For weakly reflecting media, it is confirmed that wave‐equation migration gives “correct” results (but the input data must be multiplied by <jats:italic>V</jats:italic><jats:sub>0</jats:sub><jats:italic>T</jats:italic><jats:sub>0</jats:sub>), i.e. amplitudes proportional to the reflection coefficient. For any velocity changes, the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>) will, in general, give inaccurate migration amplitudes and inaccurate lithological interpretations. In a simple step, true amplitude migration, or exact migration, is derived from our results.</jats:p><jats:p>It is assumed that no focus phenomena are present. The effect of buried foci is discussed briefly.</jats:p> |
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| author | BORTFELD, R., KIEHN, M. |
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| author_sort | bortfeld, r. |
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| description | <jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>The effect of wave‐equation migration on amplitudes is determined. This effect is derived for zero‐offset traces and for second‐order approximations of the traveltimes. Three steps are followed: firstly, the amplitudes of zero‐offset traces are established; secondly minus half the traveltimes are used as input for downward continuation in migration (forward in space and time); thirdly, the amplitudes of the migrated events are determined by downward continuation (at zero‐traveltimes).</jats:p><jats:p>Layered models (piles of homogeneous layers) with smooth interfaces are used. The determinants of the 2 × 2 matrices <jats:bold>B</jats:bold><jats:sub>0</jats:sub> obtained for these models are responsible for the main effect on migration. The migration result primarily depends on the overburden as the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>). Drastic effects can occur over small distances. For weakly reflecting media, it is confirmed that wave‐equation migration gives “correct” results (but the input data must be multiplied by <jats:italic>V</jats:italic><jats:sub>0</jats:sub><jats:italic>T</jats:italic><jats:sub>0</jats:sub>), i.e. amplitudes proportional to the reflection coefficient. For any velocity changes, the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>) will, in general, give inaccurate migration amplitudes and inaccurate lithological interpretations. In a simple step, true amplitude migration, or exact migration, is derived from our results.</jats:p><jats:p>It is assumed that no focus phenomena are present. The effect of buried foci is discussed briefly.</jats:p> |
| doi_str_mv | 10.1111/j.1365-2478.1992.tb00557.x |
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| imprint | Wiley, 1992 |
| imprint_str_mv | Wiley, 1992 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
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| language | English |
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| physical | 873-884 |
| publishDate | 1992 |
| publishDateSort | 1992 |
| publisher | Wiley |
| record_format | ai |
| recordtype | ai |
| series | Geophysical Prospecting |
| source_id | 49 |
| spelling | BORTFELD, R. KIEHN, M. 0016-8025 1365-2478 Wiley Geochemistry and Petrology Geophysics http://dx.doi.org/10.1111/j.1365-2478.1992.tb00557.x <jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>The effect of wave‐equation migration on amplitudes is determined. This effect is derived for zero‐offset traces and for second‐order approximations of the traveltimes. Three steps are followed: firstly, the amplitudes of zero‐offset traces are established; secondly minus half the traveltimes are used as input for downward continuation in migration (forward in space and time); thirdly, the amplitudes of the migrated events are determined by downward continuation (at zero‐traveltimes).</jats:p><jats:p>Layered models (piles of homogeneous layers) with smooth interfaces are used. The determinants of the 2 × 2 matrices <jats:bold>B</jats:bold><jats:sub>0</jats:sub> obtained for these models are responsible for the main effect on migration. The migration result primarily depends on the overburden as the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>). Drastic effects can occur over small distances. For weakly reflecting media, it is confirmed that wave‐equation migration gives “correct” results (but the input data must be multiplied by <jats:italic>V</jats:italic><jats:sub>0</jats:sub><jats:italic>T</jats:italic><jats:sub>0</jats:sub>), i.e. amplitudes proportional to the reflection coefficient. For any velocity changes, the inverse of det (<jats:bold>B</jats:bold><jats:sub>0</jats:sub>) will, in general, give inaccurate migration amplitudes and inaccurate lithological interpretations. In a simple step, true amplitude migration, or exact migration, is derived from our results.</jats:p><jats:p>It is assumed that no focus phenomena are present. The effect of buried foci is discussed briefly.</jats:p> REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)<sup>1</sup> Geophysical Prospecting |
| spellingShingle | BORTFELD, R., KIEHN, M., Geophysical Prospecting, REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1, Geochemistry and Petrology, Geophysics |
| title | REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_full | REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_fullStr | REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_full_unstemmed | REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_short | REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| title_sort | reflection amplitudes and migration amplitudes (zero‐offset situation)<sup>1</sup> |
| title_unstemmed | REFLECTION AMPLITUDES AND MIGRATION AMPLITUDES (ZERO‐OFFSET SITUATION)1 |
| topic | Geochemistry and Petrology, Geophysics |
| url | http://dx.doi.org/10.1111/j.1365-2478.1992.tb00557.x |