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The graph fitting method of wide angle reflection of GPR |
CAI Lian-Chu1, MIAO Nian-You2 |
1. Zhejiang Huadong Construction Engineering Co., Ltd.,Hangzhou 310014, China 2. Huadong Engineering Co., Ltd., Hangzhou 310014, China |
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Abstract The Geological Radar Common Middle Point (CMP) method is only used for local velocity testing. For the purpose of using a wide-angle reflection method for profiling, one radar antenna can be fixed and another antenna moves along the line of measurement to obtain the reflection signal of the entire geological interface. In this paper, the method of wide angle reflection profile detection is proposed. The relations of reflection signals are derived based on the interface of straight rock formations, and the interpretation software is developed to accurately calculate the geometric parameters and layer velocity of rock formations, so as to carry out geological stratification.
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Received: 30 October 2019
Published: 01 March 2021
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Schematic diagram of wide angle reflection
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Typical wide angle reflection image
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| v/(m·ns-1) | α/(°) | h/m | 第一层 | 0.1 | 0 | 6 | 第二层 | 0.09 | 20 | 10 | 第三层 | 0.11 | -30 | 20 |
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Three layer wide angle reflection interface model
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Time-distance curve of forward modeling of three-layer model
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Narrow angle reflection radar image and interpretation results
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Wide angle reflection inversion
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结构面 | 测试方法 | α/(°) | h/m | vR/(m·ns-1) | J1 | 窄角 | -32.1 | 2.2 | / | | 宽角 | -30.5 | 2.7 | 0.103 | J2 | 窄角 | -32.1 | 5.6 | / | | 宽角 | -30.9 | 5.8 | 0.098 | J3 | 窄角 | -32.1 | 7.8 | / | | 宽角 | -34.8 | 7.5 | 0.093 | J4 | 窄角 | 17.2 | 11.2 | / | | 宽角 | 18.5 | 10.2 | 0.095 |
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Comparison of wide angle reflection and narrow angle reflection results
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i | vR/(m·ns-1) | t0i/ns | Vi/(m·ns-1) | εri | 1 | 0.103 | 24.2 | 0.103 | 8.5 | 2 | 0.098 | 51.9 | 0.093 | 10.3 | 3 | 0.093 | 73.4 | 0.08 | 14.1 | 4 | 0.095 | 103.4 | 0.1 | 9.0 |
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Interval velocity calculation table
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Results of wide angle reflection
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i | xi | ti | τi | 1 | -8 | 262.34 | 68 821.92 | 2 | -6 | 251.54 | 63 273.59 | 3 | -4 | 238.30 | 56 788.48 | 4 | -2 | 228.15 | 52 052.01 | 5 | 0 | 220.44 | 48 592.48 | 6 | 2 | 211.70 | 44 815.48 | 7 | 4 | 208.87 | 43 626.22 | 8 | 6 | 207.20 | 42 930.99 | 9 | 8 | 208.87 | 43 626.22 | 10 | 10 | 210.93 | 44 489.55 |
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J4 cophase axis reading table
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i | xi | τi | | | | xiτi | τi | 1 | -8 | 68 822 | 64 | -512 | 4 096 | -550 575 | 4 404 603 | 2 | -6 | 63 274 | 36 | -216 | 1 296 | -379 642 | 2 277 849 | 3 | -4 | 56 788 | 16 | -64 | 256 | -227 154 | 908 616 | 4 | -2 | 52 052 | 4 | -8 | 16 | -104 104 | 208 208 | 5 | 0 | 48 592 | 0 | 0 | 0 | 0 | 0 | 6 | 2 | 44 815 | 4 | 8 | 16 | 89 631 | 179 262 | 7 | 4 | 43 626 | 16 | 64 | 256 | 174 505 | 698 019 | 8 | 6 | 42 931 | 36 | 216 | 1296 | 257 586 | 1 545 516 | 9 | 8 | 43 626 | 64 | 512 | 4096 | 349 010 | 2 792 078 | 10 | 10 | 44 490 | 100 | 1 000 | 10 000 | 444 895 | 4 448 955 | | 10 | 509 017 | 340 | 1 000 | 21 328 | 54 152 | 17 463 105 |
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J4 Cophase axis reading calculation table
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