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FUGRO Transformation Parameters Report Regional Disaster

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FUGRO Transformation Parameters Report Regional Disaster FUGRO Transformation Parameters Report Regional Disaster Vulnerability Reduction Project Geodetic Control Survey Fugro Document No.: 17028_GeodeticTransformationReport Issue Date: 23 April 2018 Final Report FUGRO Transformation Parameters Report Regional Disaster Vulnerability Reduction Project Geodetic Control Survey Fugro Document No.: 17028_GeodeticTransformationReport Issue Date: 23 April 2018 Final Report Client: GOVERNMENT OF GRENADA Call Off No.: - Contract No.: ICB No: NCS-2 /NCB Client Address: - - - - - 03 Final Report XW JLC OM 23 April 2018 02 Including client comments BW JLC OM 18 April 2018 01 Issue for review BW JLC OM 26 March 2018 Issue Status Prepared Checked Approved Date TRANSFORMATION PARAMETERS REPORT GOVERNMENT OF GRENADA REGIONAL DISASTER VULNERABILITY REDUCTION PROJECT AMENDMENTS Document Issue Revision Details 01 First issue, for review and comments 02 Final Report Added geographical Transformation Grid (5.5 and Appendix E) 03 Added general formula of the Bilinear Interpolation and corrected excel functions (5.6) 04 DISTRIBUTION LIST Company Project Role Name Fugro Document No. 17028_GeodeticTransformationReport TRANSFORMATION PARAMETERS REPORT GOVERNMENT OF GRENADA REGIONAL DISASTER VULNERABILITY REDUCTION PROJECT CONTENTS 1. EXECUTIVE SUMMARY 4 1.1 Main facts 4 1.2 Selected transformation models 4 1.2.1 Selected transformation parameters for existing Grenada 53 datum 4 1.3 Selected transformation parameters for existing WGS84/NGPP datum 6 2. OBJECTIVE OF THIS DOCUMENT 8 3. REFERENCES 9 3.1 Client references 9 3.2 Fugro internal references 9 3.3 Definitions 9 4. METHODOLOGY 10 4.1 Clarification concerning geodetic datums Grenada 1950 and Grenada 1953 10 4.2 Dataset 10 4.3 Description of the transformation parameters computation approach 11 5. COMPUTATION OF THE TRANSFORMATION PARAMETERS – TRIG NETWORK 12 5.1 3-parameter transformation model in Grenada Island 12 5.2 Transformation model in Carriacou and Green Islands (North of Grenada) 16 5.3 7-Parameter transformation model in Grenada Island 17 5.4 3-Parameters Helmert regular grid transformation model 20 5.5 Geographic transformation grid 25 5.6 Planimetric transformation grid 25 5.7 Recommendations for application of provided transformation models 30 6. COMPUTATION OF THE TRANSFORMATION PARAMETERS – NGPP NETWORK 31 6.1 3-Parameter transformation model (WGS84 / NGPP to ITRF2014 at epoch 2018.0) 31 6.2 7-Parameters transformation model (WGS84 / NGPP to ITRF2014 at epoch 2018.0) 33 7. APPENDICES 35 7.1 Appendix A: Grenada 2018 markers transformed into Grenada 1953 datum 35 7.2 Appendix B: Grenada 1953 markers transformed into Grenada 2018 datum 39 7.3 Appendix C: NGPP markers transformed into Grenada 2018 datum 49 7.4 Appendix D: 3-Parameter Helmert transformation set grid 54 7.5 Appendix E: Geographic transformation set grid 70 7.6 Appendix F: Planimetric transformation set grid 90 Fugro Document No. 17028_GeodeticTransformationReport TRANSFORMATION PARAMETERS REPORT GOVERNMENT OF GRENADA REGIONAL DISASTER VULNERABILITY REDUCTION PROJECT TABLES IN THE MAIN TEXT Table 1: 3-Parameters transformation for Grenada Island area (From Grenada 53 to Grenada 2018) 5 Table 2: 3-Parameters transformation for Grenada Island area (From Grenada 2018 to Grenada 53) 5 Table 3: Points horizontal and vertical post transformation residuals 5 Table 4: 3-parameters transformation control points (From Grenada 53 to Grenada 2018) 6 Table 5: 3-Parameters transformation model (From WGS84/NGPP to Grenada 2018) 6 Table 6: 3-Parameters transformation model (From Grenada 2018 to WGS84/NGPP) 6 Table 7: Points horizontal and vertical post transformation residuals 7 Table 8: 3 parameters transformation test points (From Grenada 53 to Grenada 2018) 7 Table 9: Client references 9 Table 10: Internal references 9 Table 11: Trig points coordinates used for transformation parameters computation (Grenada 53 datum) 12 Table 12: Trig points coordinates used for transformation parameters computation (Grenada 2018 datum) 13 Table 13: 3-Parameters transformation for Grenada Island area (From Grenada 53 to Grenada 2018) 14 Table 14: 3-Parameters transformation for Grenada Island area (From Grenada 2018 to Grenada 53) 14 Table 15: Points residuals after application of the 3-parameters transformation (From Grenada 53 to Grenada 2018) 14 Table 16: Residuals summary after application of the 3-parameters transformation 15 Table 17: Geocentric coordinates differences observed on GCA80 (Carriacou Island) 17 Table 18: Geocentric coordinates differences observed on GL63 (Green Island) 17 Table 19: 7-parameters transformation (From Grenada 53 to Grenada 2018) 17 Table 20: Point residuals after 7-parameters transformation (From Grenada 53 to Grenada 2018) 18 Table 21: Residuals summary after 7-parameters transformation (From Grenada 53 to Grenada 2018) 18 Table 22: G3 coordinates in Grenada 2018 24 Table 23: Transformation results on point G3 24 Table 24: NGPP / WGS84 original coordinates used for transformation parameters computation 31 Table 25 Table 26: Grenada 2018 coordinates used for transformation parameters computation 31 Table 27: 3-Parameters transformation model (From WGS84/NGPP to Grenada 2018) 32 Table 28: 3-Parameters transformation model (From Grenada 2018 to WGS84/NGPP ) 32 Table 29: 3 parameters transformation test points (From WGS84/NGPP to Grenada 2018) 32 Table 30: Points residuals after the 3-parameters transformation (From WGS84/NGPP to Grenada 2018) 33 Table 31: Residuals summary after 3-parameters transformation (From WGS84/NGPP to Grenada 2018) 33 Table 32: 7-Parameters transformation model (From WGS84/NGPP to Grenada 2018) 33 Table 33: Residuals after application of the 7-parameters transformation (From WGS84/NGPP to Grenada 2018) 34 Table 34 Grenada 2018 markers transformed into Grenada 1953 datum 35 Table 35 Grenada 1953 markers transformed into Grenada 2018 datum 39 Table 36 NGPP markers transformed in to Grenada 2018 datum 49 Fugro Document No. 17028_GeodeticTransformationReport TRANSFORMATION PARAMETERS REPORT GOVERNMENT OF GRENADA REGIONAL DISASTER VULNERABILITY REDUCTION PROJECT FIGURES IN THE MAIN TEXT Figure 1 Existing geodetic markers observed during the GNSS observation campaign 11 Figure 2 2D Residuals after the application of the computed 3-parameters transformation 16 Figure 3 2D residuals after the application of the computed 7-parameters transformation 19 Figure 4 Grenada 53 Delta East Error Distribution 21 Figure 5 Grenada 53 Delta North Error Distribution 22 Figure 6 Grenada horizontal error distribution 23 Figure 7 Grenada Planimetric Transformation grid map 29 Fugro Document No. 17028_GeodeticTransformationReport TRANSFORMATION PARAMETERS REPORT GOVERNMENT OF GRENADA REGIONAL DISASTER VULNERABILITY REDUCTION PROJECT 1. EXECUTIVE SUMMARY 1.1 Main facts The GNSS observation campaign of 83 geodetic markers, which was carried out between the 20th of January 2018 and the 7th of February 2018, has led to an accurate determination of the positions and heights of these markers in datum Grenada2018 / ITRF2014 at epoch 2018.0 (see related report named GPS_Data_Processing_Report). These 83 geodetic markers include 33 pre-existing markers with known coordinates expressed in both historical Grenada 1953 and Grenada 1950 datums and 9 markers from the WGS84/NGPP datum (National Grid Pilot Project). The computation of datum transformation parameters from historical to new geodetic datum follows four different possible approaches: ■ A unique 3-parameter Helmert transformation to be applied in the entire Grenada territory, ■ A unique 7-parameter Helmert transformation to be applied in the entire Grenada territory, ■ A regular grid at 1 km spacing of 3-parameter Helmert transformation sets. ■ A regular stretch-type planimetric transformation grid at 1 km spacing The relevance of each approach is carefully assessed (distribution, orientation and magnitude of residuals) to retain the best transformation model. The selected transformation parameters are presented in the following section. 1.2 Selected transformation models 1.2.1 Selected transformation parameters for existing Grenada 53 datum To convert existing Grenada 53 coordinates to the new Grenada 2018 datum (ITRF14 at epoch 2018.0), Fugro suggest using a single Helmert 3-parameter transformation, which is acceptable in first approximation. This simple transformation allows keeping a fair accuracy (mean planimetric residuals of 0.16 m, standard deviation of 0.07 m) all over the Grenada territory and avoids confusion on the different existing sign conventions. Note that this transformation must be used in Grenada Island only. It cannot be applied on Carriacou and Green Islands area, where only two non-consistent existing points could be measured, as explained later in the report. The transformation parameters computation was performed using 27 existing common points, whose coordinates are known in both Grenada 2018 and Grenada 1950 datums. Fugro Document No. 17028_GeodeticTransformationReport Page 4 of 104 TRANSFORMATION PARAMETERS REPORT GOVERNMENT OF GRENADA REGIONAL DISASTER VULNERABILITY REDUCTION PROJECT Final transformation parameters are presented in the next tables: Table 1: 3-Parameters transformation for Grenada Island area (From Grenada 53 to Grenada 2018) Parameter Value Stdev (m) dX 71.494 m 0.13 dY 215.817 m 0.25 dZ 93.094 m 0.12 The inverse transformation can be obtained inverting the parameter signs. Table 2: 3-Parameters transformation for Grenada Island area (From Grenada 2018 to Grenada 53) Parameter
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