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Assessment of the Accuracy of Close Distance Photogrammetric JRC Data

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Abstract

By using close range photogrammetry, this article investigates the accuracy of the photogrammetric estimation of rock joint roughness coefficients (JRC), a measure of the degree of roughness of rock joint surfaces. This methodology has proven to be convenient both in laboratory and in site conditions. However, the accuracy and precision of roughness profiles obtained from photogrammetric 3D images have not been properly established due to the variances caused by factors such as measurement errors and systematic errors in photogrammetry. In this study, the influences of camera-to-object distance, focal length and profile orientation on the accuracy of JRC values are investigated using several photogrammetry field surveys. Directional photogrammetric JRC data are compared with data derived from the measured profiles, so as to determine their accuracy. The extent of the accuracy of JRC values was examined based on the error models which were previously developed from laboratory tests and revised for better estimation in this study. The results show that high-resolution 3D images (point interval ≤1 mm) can reduce the JRC errors obtained from field photogrammetric surveys. Using the high-resolution images, the photogrammetric JRC values in the range of high oblique camera angles are highly consistent with the revised error models. Therefore, the analysis indicates that the revised error models facilitate the verification of the accuracy of photogrammetric JRC values.

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Abbreviations

α :

Pitch of a line on a plane measured from the strike of the plane

θ 1 :

Angle between the line on a plane and the line of sight

θ 2 :

Angle between the normal vector of a plane and the line of sight

h m :

Maximum asperity height measured by profile gauge

h p :

Maximum asperity height obtained from photogrammetric profiles

JRCo :

JRC values estimated based on manually measured profiles

JRCp :

JRC values estimated based on photogrammetric profiles

MAEJRC :

Average of the absolute error for JRC values

$${\text{MAE}}_{\text{JRC}} = \frac{{\mathop \sum \nolimits_{i = 1}^{n} \left| {{\text{JRC}}_{{{\text{o}},i}} - {\text{JRC}}_{{{\text{p}},i}} } \right|}}{N}$$
N JRC :

Normalized JRC values comparing between photogrammetric profiles and manually measured data

$${\text{N}}_{\text{JRC}} = \frac{{{\text{JRC}} _{{ 3 {\text{D images}}}} }}{{{\text{JRC}}_{{ {\text{measured}}}} }}$$
RMSEJRC :

Square root of the average of the squared discrepancies for JRC values

$${\text{RMSE}}_{\text{JRC}} = \sqrt {\frac{{\mathop \sum \nolimits_{i = 1}^{n} \left( {{\text{JRC}}_{{{\text{o}},i}} - {\text{JRC}}_{{{\text{p}},i}} } \right)^{2} }}{N}}$$

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Acknowledgments

This research was performed with the financial support of the Griffith University Postgraduate Research Scholarship (GUPRS). The authors would like to express their appreciation to CSIRO for providing the programme Sirovision for this study.

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Authors and Affiliations

  1. Griffith University, Goldcoast, QLD, Australia

    Dong Hyun Kim, Ivan Gratchev & Arumugam Balasubramaniam

  2. CSIRO Exploration and Mining, Brisbane, QLD, Australia

    George Poropat

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  1. Dong Hyun Kim
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  2. George Poropat
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  3. Ivan Gratchev
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  4. Arumugam Balasubramaniam
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Correspondence to Dong Hyun Kim.

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Kim, D.H., Poropat, G., Gratchev, I. et al. Assessment of the Accuracy of Close Distance Photogrammetric JRC Data. Rock Mech Rock Eng 49, 4285–4301 (2016). https://doi.org/10.1007/s00603-016-1042-9

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  • DOI: https://doi.org/10.1007/s00603-016-1042-9

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