GNSS and control networks
Global navigation satellite systems, GPS, GLONASS, Galileo, BeiDou and India's NavIC, let a receiver find its position by measuring ranges to several satellites. A single handheld receiver is good to a few metres; surveying needs centimetres or better, which comes from carrier-phase measurements with corrections from a nearby base station, either in real time (RTK) or by post-processing, or from a network of permanent reference stations.
GNSS gives positions on an ellipsoid, a mathematical model of the earth such as WGS 84. Heights from GNSS are ellipsoidal heights h. Engineers need orthometric heights H, measured above the geoid, the surface that mean sea level follows, because water flows according to orthometric height. The two are linked by the geoid undulation N: H = h − N. Around India, N is negative over large areas, so the geoid lies below the ellipsoid there.
A control network is the skeleton of every large project: a set of permanent, well-marked points with accurately known coordinates and levels, tied to the national datum, from which all setting out is done. It is designed with redundancy, more observations than strictly needed, and adjusted by least squares so that errors are detected and spread properly. Survey of India maintains national control and reference stations.
GNSS needs open sky and suffers from multipath near buildings and under trees, so total stations and levels remain essential. Long linear projects such as railways and highways also need a projection with low scale distortion so that grid distances match ground distances.
Always state the datum and projection with every coordinate you hand over.
Orthometric height: H = h − NN = geoid undulation (height of geoid above ellipsoid; negative if below)
Using GNSS ellipsoidal heights directly as levels for drainage.
Problem. A GNSS receiver gives ellipsoidal height h = 150.32 m at a site where the geoid undulation is N = −62.45 m. Find the orthometric height.
- H = h − N = 150.32 − (−62.45).
- H = 150.32 + 62.45 = 212.77 m.
- The geoid lies 62.45 m below the ellipsoid here, so the height above mean sea level is larger than the ellipsoidal height.
Answer. H = 212.77 m
Quick quiz
1What does RTK use to reach centimetre accuracy?
Carrier-phase measurements with real-time corrections from a base station.
2Which height does water flow by?
Orthometric height, measured from the geoid.
3Why design redundancy into a control network?
So that errors can be detected and adjusted out by least squares.
Clauses and documents to read
- Survey of India: national geodetic control and continuously operating reference stations
Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.
References and further reading
Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.
- S. K. Duggal, Surveying (Vols 1 and 2), McGraw Hill Education (India), latest edition.
- B. C. Punmia, A. K. Jain, A. K. Jain, Surveying (Vols 1 to 3), Laxmi Publications, latest edition.
- C. D. Ghilani, P. R. Wolf, Elementary Surveying: An Introduction to Geomatics, Pearson, latest edition.
Free and official sources
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