18-Geom-B3 Networks and Precise Engineering Surveys · December 2018
Question 11 of 12: Geodetic Deformation-Monitoring Techniques
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Notes on this paper
Paper format: Closed-book, 3 hours, calculator permitted. TEN questions constitute a complete paper — Part A: all of #1–#8; Part B: one of #9/#10; Part C: one of #11/#12. All twelve questions are solved here for completeness. Most answers are essay-format; Q5, Q6 and Q9 carry short verified numeric illustrations.
Reference texts: Wolf, Ghilani & De Blij, Elementary Surveying: An Introduction to Geomatics (15th ed., Pearson); Mikhail & Gracie, Analysis and Adjustment of Survey Measurements (Van Nostrand, 1981); Kavanagh & Slattery, Surveying with Construction Applications; Hofmann-Wellenhof, Lichtenegger & Wasle, GNSS (Springer, 2008); Kahmen & Faig, Surveying (de Gruyter); Chrzanowski et al. on deformation analysis; USACE Structural Deformation Surveying (EM 1110-2-1009); ISO 17123 field-test procedures. Canadian frame throughout (NAD83(CSRS), CGVD2013).
Geodetic deformation-monitoring techniques determine the movement of a structure or the ground by repeatedly measuring, from stable reference points, the positions of object points, and testing the coordinate changes between epochs for statistical significance. They are characterised by their use of an external reference frame (absolute movements), redundant observations, and rigorous least-squares analysis. The principal techniques are:
Precise levelling — the most precise vertical technique (sub-millimetre over short lines); monitors settlement/heave of dams, buildings and subsidence areas.
Total-station / theodolite surveys — precise directions and EDM distances (or polar coordination from stable pillars), and specialised methods such as alignment (collimation) surveys for dams and micro-triangulation/trilateration nets; robotic total stations give automated, continuous monitoring of many prisms.
GNSS — continuous or campaign relative positioning, 3-D, all-weather, automated, no inter-point visibility (see Q4); strong for horizontal and regional/tectonic motion.
Photogrammetry / terrestrial laser scanning (TLS) — dense, whole-surface deformation fields, good for complex shapes and inaccessible faces.
Specialised/geotechnical geodetic sensors — precise inclinometers/tiltmeters, extensometers, hydrostatic levelling, laser alignment — often integrated with the geodetic net.
Two design philosophies underlie them. A reference (relative) network ties object points to demonstrably stable reference points outside the deforming zone; a free (dynamic) network analyses the object’s own points and identifies which have moved by congruency testing. In all cases the epochs are adjusted, the reference-point stability is verified, and displacement vectors are tested against their covariance ($F$-/congruency test) before being reported as real movement.