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Estimation of thin fracture aperture in a marble block by GPR sounding

机译：用GPR测深估算大理石块的细裂缝孔径

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In order to optimize the cutting of the marble blocks to be used in the restoration of the dome of the Holy Shroud Chapel of Turin cathedral, some GPR tests have been done in a laboratory to detect thin fractures in a marble block. We made some preliminary measurements to estimate the GPR wave velocity in an intact block and to calculate the permittivity of the marble. Then, the block was cut and GPR measurements with different fracture fillings and fracture apertures were performed. The results demonstrate that with at 2 GHz in antenna a fracture, a millimeter open, can be detected. An analysis carried out on the experimental reflection coefficients with the thin layer theory, allowed us to estimate the different fracture apertures. We found the possibility of estimating fracture apertures ranging from 1/10 to 1/5 of the wavelength at 2 GHz in air. The phase and the amplitude of the reflected signals with different fillings demonstrated the possibility of detecting thin fractures and discriminating between dry- or water -saturated fillings.
机译：为了优化对都灵大教堂裹尸布教堂圆顶的修复所用的大理石块的切割，已在实验室中进行了一些GPR测试，以检测大理石块中的细裂缝。我们进行了一些初步测量，以估计完整块中的GPR波速并计算大理石的介电常数。然后，切块，并用不同的裂缝填充物和裂缝孔进行GPR测量。结果表明，在2 GHz的天线中，可以检测到1毫米的裂缝。利用薄层理论对实验反射系数进行了分析，使我们能够估计不同的裂缝孔径。我们发现有可能估算空气中2 GHz时裂隙孔径的范围为波长的1/10至1/5。具有不同填充物的反射信号的相位和幅度证明了检测细裂缝并区分干饱和填充物或水饱和填充物的可能性。

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