Propagation effect of a fractal rough ground boundary on the lightning-radiated vertical electric field

Propagation effect of a fractal rough ground boundary on the lightning-radiated vertical electric field
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分形粗糙地面边界对雷电辐射垂直电场的传播效应

DOI:
10.1016/j.atmosres.2011.10.009
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发表时间:
2012-02
影响因子:
5.5
通讯作者:
张其林
张其林
中科院分区:
地球科学1区
文献类型:
--
作者:
张其林

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提出了一种描述天然粗糙地表的二维分数布朗运动模型。利用Barrick等人提出的一种有效的表面阻抗算法,分析了分形粗糙地表对雷电回击产生的垂直电场的传播效应。结果表明,粗糙度引起的附加场衰减增量随着地面电导率的减小而减小,当地面电导率小于0.001s/m时,均方高度小于10m的粗糙地面的传播效果与光滑、有限导电的地面基本相同。然而,当地面电导率大于0.1s/m(湿土)时,高于约2 MHz的频率被均方高度为10m的粗糙地面显著衰减。对于垂直电场在时间域中的导数,粗糙地面引起的场衰减显著,而对于垂直电场的峰值,没有明显的衰减。
A two-dimension fractional Brown motion (fBm) model is presented for describing the nature rough ground surface. By using an effective surface impedance algorithm derived by Barrick reference, the propagation effects of a fractal rough ground surface on the vertical electric field generated by lightning return strokes are analyzed. The results show that the extra field attenuation increment caused by the roughness decreases with the decrease of the ground conductivity, when the ground conductivity is less than 0.001S/m, the propagation effect of the rough ground surface with a mean square height of less than 10m is nearly as same as that of the smooth and finitely conducting ground. However, when the ground conductivity is larger than 0.1S/m (wet earth), the frequencies higher than about 2MHz are attenuated significantly by a rough ground surface with a mean square height of 10m. For the derivative of the vertical electric field in time domain, the field attenuation caused by a rough ground is significant, while for the peak of the vertical electric field, there is no obvious attenuation.
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