Reconstruction of three dimensional objects buried underground by distorted born iterative method

Year 2021, , 71 - 78, 15.01.2021

Rıza Akdoğan , Fatih Kamil Dilaver , Tülün Durukan Yasemin Altuncu

https://doi.org/10.28948/ngumuh.828944

Abstract

In this study, an electromagnetic inverse scattering problem to reveal the geometric and dielectric properties of three-dimensional (3D) objects buried underground by measuring from above is discussed. The solution of the problem is achieved by using the distorted born iterative method (DBIM). The interface separating the air and soil media is illuminated from above with an electromagnetic wave source and electric field measurements are conducted across a region above. While plane waves are used as an electromagnetic wave source, which are sent consecutively with different arrival angles, measurements are taken at more than one point along a plane. The geometric and electrical properties of objects in a volumetric region of interest are revealed by determining the complex dielectric constant of this region. Various numerical results are presented to show the success of the presented method in detecting three-dimensional objects with arbitrary geometry buried into earth. The results show that the distorted born iterative method is very successful in determining both geometric and dielectric properties of objects with low and medium contrast. While the location and geometric properties of high contrast objects are successfully found, the relative dielectric constants and conductivities are found to be lower than their real values.

Keywords

Inverse scattering, Buried object,, Distorted Born Iterative Method

Yer altına gömülü üç boyutlu cisimlerin bozulmuş born iteratif yöntemi ile tespit edilmesi

Abstract

Bu çalışmada, yer altında gömülü üç boyutlu (3B) cisimlerin geometrik ve elektriksel özelliklerinin yer üstünden yapılan ölçümlerle belirlenmesine yönelik bir elektromanyetik ters saçılma problemi ele alınmıştır. Problemin çözümü bozulmuş born iteratif yöntemi (Distorted Born Iterative Method - DBIM) kullanılarak yapılmıştır. Hava ve toprak ortamlarını birbirinden ayıran ara yüzey yukarıdan bir elektromanyetik dalga kaynağı ile aydınlatılmış ve yine yukarıdaki bir bölge boyunca elektrik alan ölçümleri yapılmıştır. Elektromanyetik dalga kaynağı olarak peş peşe farklı geliş açılarıyla gönderilen düzlem dalgalar kullanılırken ölçümler bir düzlem boyunca birden fazla noktada alınmıştır. İlgilenilen hacimsel bir bölgede bulunan cisimlerin geometrik ve elektriksel özellikleri, bu bölgenin kompleks dielektrik sabitinin belirlenmesi sonucu ortaya çıkartılmaktadır. Sunulan yöntemin, yer altındaki rastgele geometrili üç boyutlu nesnelerin tespitindeki başarısını göstermek için çeşitli sayısal sonuçlar sunulmuştur. Elde edilen sonuçlar, bozulmuş born iteratif yönteminin düşük ve orta düzeyde kontrasta sahip cisimlerin hem geometrik hem de dielektrik özelliklerinin belirlenmesinde oldukça başarılı olduğunu ortaya koymaktadır. Yüksek kontrastlı cisimlerin ise yeri ve geometrik özellikleri başarıyla bulunurken bağıl dielektrik sabiti ve iletkenlikleri gerçek değerlerinden daha düşük seviyelerde bulunmuştur.

Keywords

Ters saçılma, Gömülü cisim, Bozulmuş born iteratif yöntemi

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