Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields.
Differential Operators (Gradient, Laplacian and Biharmonic) have been used to determine anomaly characteristics using theoretical gravity field for spherical bodies with different depths, radius and density contrasts. The intersection between the gravity field and the three differential operator...
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| Format: | Article |
| Language: | English |
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University of Anbar
2012-06-01
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| Series: | مجلة جامعة الانبار للعلوم الصرفة |
| Subjects: | |
| Online Access: | https://juaps.uoanbar.edu.iq/article_37785_46c7b9bb86581bb73b1d0b8efbcb0eca.pdf |
| _version_ | 1797373366638739456 |
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| author | Ali M. Al-Rahim |
| author_facet | Ali M. Al-Rahim |
| author_sort | Ali M. Al-Rahim |
| collection | DOAJ |
| description | Differential Operators (Gradient, Laplacian and Biharmonic) have been used to determine anomaly characteristics using theoretical gravity field for spherical bodies with different depths, radius and density contrasts. The intersection between the gravity field and the three differential operator's fields could be used to estimate the depth to the center of the spherical bodies regardless their different radius, depths and density contrasts. The Biharmonic Operator has an excellent result, were two zero closed contours lines produced. The diameter of the internal closed zero contour line define almost precisely the depth to the center of spherical bodies. This is an attempt to use such technique to estimate depths. Also, the Biharmonic Operator has very sensitivity to resolve hidden small anomaly due the effect of large neighborhood anomaly, the 2nd derivative Laplacian Filter could reveal these small anomaly but the Biharmonic Operator could indicate the exact depth. The user for such technique should be very care to the accuracy of digitizing the data due to the high sensitivity of Biharmonic Operator.The validity of the method is tested on field example for salt dome in United States and gives a reasonable depth result. |
| first_indexed | 2024-03-08T18:49:28Z |
| format | Article |
| id | doaj.art-d03504c23ecb42d2962d181c697a8a83 |
| institution | Directory Open Access Journal |
| issn | 1991-8941 2706-6703 |
| language | English |
| last_indexed | 2024-03-08T18:49:28Z |
| publishDate | 2012-06-01 |
| publisher | University of Anbar |
| record_format | Article |
| series | مجلة جامعة الانبار للعلوم الصرفة |
| spelling | doaj.art-d03504c23ecb42d2962d181c697a8a832023-12-28T21:54:15ZengUniversity of Anbarمجلة جامعة الانبار للعلوم الصرفة1991-89412706-67032012-06-0133748510.37652/juaps.2009.3778537785Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields.Ali M. Al-Rahim0University of Baghdad – College of ScienceDifferential Operators (Gradient, Laplacian and Biharmonic) have been used to determine anomaly characteristics using theoretical gravity field for spherical bodies with different depths, radius and density contrasts. The intersection between the gravity field and the three differential operator's fields could be used to estimate the depth to the center of the spherical bodies regardless their different radius, depths and density contrasts. The Biharmonic Operator has an excellent result, were two zero closed contours lines produced. The diameter of the internal closed zero contour line define almost precisely the depth to the center of spherical bodies. This is an attempt to use such technique to estimate depths. Also, the Biharmonic Operator has very sensitivity to resolve hidden small anomaly due the effect of large neighborhood anomaly, the 2nd derivative Laplacian Filter could reveal these small anomaly but the Biharmonic Operator could indicate the exact depth. The user for such technique should be very care to the accuracy of digitizing the data due to the high sensitivity of Biharmonic Operator.The validity of the method is tested on field example for salt dome in United States and gives a reasonable depth result.https://juaps.uoanbar.edu.iq/article_37785_46c7b9bb86581bb73b1d0b8efbcb0eca.pdfdepthspherical bodiesdifferential operatorsgradient pgp rlaplacian zgravity fields |
| spellingShingle | Ali M. Al-Rahim Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields. مجلة جامعة الانبار للعلوم الصرفة depth spherical bodies differential operators gradient pgp r laplacian z gravity fields |
| title | Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields. |
| title_full | Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields. |
| title_fullStr | Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields. |
| title_full_unstemmed | Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields. |
| title_short | Depth estimation of spherical bodies using Differential Operators (Gradient PgP r , Laplacian ر2Z and Biharmonic ر4Z ) to its gravity fields. |
| title_sort | depth estimation of spherical bodies using differential operators gradient pgp r laplacian ر2z and biharmonic ر4z to its gravity fields |
| topic | depth spherical bodies differential operators gradient pgp r laplacian z gravity fields |
| url | https://juaps.uoanbar.edu.iq/article_37785_46c7b9bb86581bb73b1d0b8efbcb0eca.pdf |
| work_keys_str_mv | AT alimalrahim depthestimationofsphericalbodiesusingdifferentialoperatorsgradientpgprlaplacianr2zandbiharmonicr4ztoitsgravityfields |