Radius estimation for subsurface cylindrical objects detected by ground penetrating radar
Radius estimation for subsurface cylindrical objects detected by ground penetrating radar
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发表时间：
2004-06
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通讯作者：
S. Shihab;W. Al-Nuaimy;A. Eriksen
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作者：
S. Shihab;W. Al-Nuaimy;A. Eriksen
双曲线是典型GPR扫描中的常见特征，可能来自局部反射体（如岩石）或埋藏的圆柱形物体（如管道或鼓）。这些双曲线的形状受到地下反射体的性质以及物体所在介质的相对介电常数的影响。正是这种关于GPR扫描中的双曲线实际上代表什么的不确定性，使得很难从GPR数据中对埋地物体本身和其周围的介质进行准确的估计。在本文中，一个新的一般方程的双曲线，这导致从埋圆柱体，它允许圆柱体的任意半径，从而在一个更准确的估计周围介质的相对介电常数和深度，除了半径信息。这是通过对雷达图进行一系列图像处理阶段，然后进行专门为双曲线开发的曲线拟合程序来实现的。拟合技术应用于各种合成双曲线，这些双曲线是为了模拟来自不同深度和半径的目标的反射而生成的，并且被埋在一个范围内。结果表明，这种技术是完全能够成功地估计的深度和半径的1%以内。控制现场数据的进一步应用也给出了类似的结果，验证了该方法，并证明了所使用的假设。
Hyperbolae are common features in typical GPR scans that may result from localised reflectors (such as rocks), or from a buried cylindrical-shaped objects (such as pipes or drums). The shapes of these hyperbolae are influenced by both the nature of the subsurface reflector as well as the relative permittivity of the medium in which the objects are located. It is this uncertainty about what a hyperbola in a GPR scan actually represents, that has made it very difficult to make accurate estimations from GPR data, with regard to the buried object itself on one hand, and to the medium surrounding it on the other. In this paper, a novel general equation for hyperbolae which result from buried cylinders is presented which allows for cylinders of arbitrary radius, resulting in a more accurate estimation of the relative permittivity of the surrounding medium and of the depth, in addition to the radius information. This is achieved by subjecting the radargrams to a series of image processing stages followed by a curve-fitting procedure specifically developed for hyperbolae. The fitting technique is applied on a variety of synthetic hyperbolae that are generated to emulate reflections from targets of varying depth and radius and buried in a range of dielectrics. The results indicate this technique is fully capable of successfully estimating the depth and radius to within 1%. Further application to control site data has also given similar results, validating the method and justifying the assumptions used.