Evaluation on precision of occurrence measurement based on theory of errors

Transcript

1 GLOBAL GEOLOGY Vol. 35 No. 2 Jun ± 4 ± 3 4 P21 TD17 A doi /j. issn Evaluation on precision of occurrence measurement based on theory of errors LU Li-ji WANG Feng-yan WANG Ming-chang LI Qi-yuan College of Geo-exploration Science and Technology Jilin University Changchun China Abstract The article takes slope as subject investigated and the precision in occurrence measurement of five methods such as compass reflectorless Total Station Instrument TSI laser range finder 3D laser scanner and digital photogrammetric workstation are evaluated by adopting theory of errors. The root-mean-squrare RMS errors of trend and dip angle in compass occurrence measurement are ± 4 and ± 3 respectively. The precision e- valuation not only increases the cognition on the precision of compass occurrence measurement but also provides checking calculation data for the precision evaluation of the other four non-contact occurrence measurement methods. The compass can only be used to measure the occurrence of the underneath discontinuity on high steep slope. It is range-limited energy-intensive and ineffective. The non-contact methods can measure the upper discontinuity on high steep slope which is difficult for people to reach. The methods using 3D laser scanner and digital closerange photogrammetry can obtain occurrence information of massive stochastic discontinuity on rock mass slope and provide important basic data for the evaluation of slope stability based on stochastic dynamics. Key words occurrence measurement precision evaluation theory of errors contact occurrence measurement non-contact occurrence measurement wangfy@ jlu. edu. cn

2 Fig. 1 Compass occurrence measurement

3 m = ± d 2 /2n 1 槡 R B I 1 d n m = ± Δ 2 /n 2 槡 4 2 n 2. 3 VirtuoZo - σ + σ - 2σ + 2σ - 3σ + 3σ { P - σ < Δ < + σ = 68. 3% P - 2σ < Δ < + 2σ = 95. 5% 3 P - 3σ < Δ < + 3σ = 99. 7% % = 3σ

4 a b a b Fig. 2 Error distributions of dip and dip angle 1 1 ± 4 ± < 12 ± 100% < % 12 ± m = ± 4 m = ± Table 1 1 Comparision of occurrence by TSI and compass measurement / / / / / / A A A A A A

5 Table 2 2 Comparision of occurrence by laser range finder and compass measurement / / / / / / B B B B B B < % 3 2 < % 2 < % < 9 m = ± 6 m = ± 5 100% 2 m = ± 3 m = ± Table 3 3 Comparision of occurrence by 3D laser scanner and compass measurement / / / / / / C C C C C C

6 VirtuoZo % m = ± 4 m = 2 ± 4 5 Table 4 4 Comparision of occurrence by VZ and compass measurement / / / / / / D D D D D D Table 5 5 Systematic comparison of different occurrence measurement methods VZ m ± 4 m ± ± 4 ± J

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