TE和TM模式下近地面探地雷达的数值模拟

Lanbo Liu, S. Arcone
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引用次数: 4

摘要

在探索利用高频电磁地波实现无人值守地面传感器间信息通信的基础上,对不同近地表地质环境下探地雷达性能进行了数值模拟。两组400 MHz GPR野外数据,一组来自阿拉斯加州理查森堡,另一组来自新罕布什尔州汉诺威,被用来作为“地面真实值”与数值模拟进行比较。我们采用的数值模拟算法采用时域有限差分法,以完全匹配层作为吸收边界条件截断出波。信号脉冲的中心频率为400 MHz,时间步长为0.067 ns。我们模拟了四种情况:两种辐射极化(TM和TE)的组合,以及两种地质环境,即砂质/砾石半空间覆盖粉质/粘土层(AK理查森堡的情况),以及粉质/粘土半空间覆盖砂质/砾石层(新罕布什尔州汉诺威的情况)。结果描述了以下含义。(1)无论地质环境如何,使用TM模式时,更多的电磁能量以电波的形式辐射到空气中,而使用TE模式时,更多的电磁能量将发送到地面。(2)在粉质/粘土层覆盖的砂质半空间中,在几乎没有空气辐射的TE模式下,相比于砂质/粘土层覆盖的粉质/粘土半空间相同的辐射模式下,更多的电磁能量被困在粉质/粘土层中作为地波导。(3)在砂质/砾石半空间上覆粉质/粘土层的地质背景下,TE模态仅包含地波,TM模态仅包含空气波能量。这意味着,在这种情况下,空气波和地波可以达到更完全的分离。这些模拟结果表明,在使用地波作为通信载体时,传输方式应考虑现场的地质环境。
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Numerical simulation of near-surface GPR in TE and TM modes
Stimulated by the inquiry of using high frequency electromagnetic ground waves to communicate information among unattended ground sensors, numerical simulations of GPR performance in different near-surface geological settings were conducted. Two sets of 400 MHz GPR field data, one from Fort Richardson, Alaska, and the other one from Hanover, New Hampshire, were used to be the 'ground truth' to compare with numerical simulations. The numerical simulation algorithm we used adapts the finite difference time domain method, with a perfectly matched layer as the absorption boundary condition to truncate outbound waves. The signal impulse has a central frequency of 400 MHz, and the time step is 0.067 ns. We have simulated four cases: a combination of two radiation polarizations (TM and TE), and two geological settings, i.e., a sandy/gravelly half-space overlain by a silty/clayey layer (the case of Fort Richardson, AK), and a silty/clayey half-space overlain by sandy/gravelly layer (the case of Hanover, NH). The results depict the following implication. (1) More EM energy is radiated into the air as an air wave for the TM mode, and more EM energy will be sent into the ground when the TE mode is used, regardless of the geological setting. (2) Where a gravelly sandy half-space overlain by a silty/clayey layer, more EM energy will be trapped in the silty/clayey layer as a ground wave guide in the TE mode with almost no air radiation, when compared with the same radiation mode in the case of silty/clayey half-space overlain by a layer of gravelly sandy. (3) For the geological setting of a sandy/gravelly half-space overlain by a silty/clayey layer, the TE mode only contains ground wave and the TM mode only contains air wave energy. This implies that for this case a far more complete separation of the air wave and the ground wave can be reached. These simulation results imply that transmission mode should consider the on-site geological setting when attempt to use the ground wave as a communication carrier.
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