NivaarExam PrepOfficial exam papers ↗

18-Geol-B10 · December 2019

Question 8 of 10: Case History — Gravity Methods for a Geotechnical or Engineering Problem

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

EGBC National Exam — Geological Engineering, 18-Geol-B10-1 Gravity and Magnetics Fields, 2019-Dec. Closed book; no calculator permitted. All ten questions require an answer in essay format, with diagrams used wherever appropriate. The exam instructs "choose six (6) of the following ten (10) questions, the first six as they appear in the answer book will be marked, each of equal value".

Reference texts: Telford, Geldart & Sheriff, Applied Geophysics, 2nd ed. (physical properties ch.2 & 5; gravimeters, gravity reduction, drift and tidal correction ch.2; magnetometers, gradiometers and magnetic surveying ch.4–5; anomaly enhancement and interpretation throughout); Kearey, Brooks & Hill, An Introduction to Geophysical Exploration, 3rd ed. (survey design, temporal-variation correction, case-history applications ch.6 & 7); Blakely, Potential Theory in Gravity and Magnetic Applications (potential-field theory, derivative and Fourier-domain filters, regional-residual separation ch.2, 9 & 12).

Question 8: Case History — Gravity Methods for a Geotechnical or Engineering Problem (Choose 6 of 10 – equal value)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

Case history: micro-gravity survey for a suspected abandoned mine void

A common and representative engineering application is a micro-gravity survey ahead of redevelopment on ground with a history of shallow mining, where old, unmapped stopes, adits or shafts pose a collapse hazard to new foundations. A dense grid of stations (often 5–10 m spacing, closer than a typical exploration gravity survey) is walked across the site, since the anticipated voids are shallow and small relative to a typical ore body.

Why gravity, rather than another method, was chosen

Gravity directly senses the large NEGATIVE density contrast an air- or rubble-filled void presents against solid host rock, is non-invasive (unlike a drilling grid, which can only ever sample a tiny fraction of the site and can miss a void entirely between holes), and can be walked over an already-developed or vegetated site where seismic or large-array electrical methods would be impractical. It was preferred here over methods like ground-penetrating radar, whose penetration depth in clay-rich or conductive overburden would be inadequate for the void depths involved.

Survey procedure and data processing

Each station was surveyed to precise elevation (RTK-GPS or optical level, since a few centimetres of elevation error can rival the target anomaly — Question 3) and read on a loop design tying back to a fixed base station for drift/tide correction. Standard reduction followed: instrument drift and earth-tide correction, latitude (International Gravity Formula) correction, free-air correction, Bouguer slab correction using a representative host-rock density measured from site samples, and a full TERRAIN correction using a digital elevation model of the surrounding topography, since void-detection surveys are sensitive enough that even modest nearby relief becomes significant (Question 4-style hill/valley error). The resulting Complete Bouguer Anomaly was then separated into REGIONAL and RESIDUAL components (Question 9), since the broad regional trend from deep geology would otherwise mask the shallow, small-amplitude void signature, and the residual anomaly was forward-modelled (an equivalent buried sphere or horizontal cylinder) to estimate the void's depth and approximate size.

Weaknesses and potential improvements

Micro-gravity void detection is fundamentally NON-UNIQUE (Question 10): a shallow, small, low-density void and a deeper, larger one can produce similar residual anomalies, so the depth/size estimate from gravity alone carries real ambiguity. Near-surface density heterogeneity in fill or weathered overburden also generates "geological noise" that can mimic or mask a genuine void signature. If repeated, the survey could be improved by tightening the station spacing further over any anomaly identified in the first pass, combining the gravity data with an independent method sensitive to different physics (e.g. electrical resistivity/GPR for near-surface structure, or seismic refraction for a rock-head/void boundary) to break the non-uniqueness, and validating the strongest candidate anomalies with a small number of confirmatory boreholes rather than relying on gravity alone for final go/no-go decisions.