18-Geol-B10 · December 2019
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
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 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.
A total-field magnetometer (e.g. a single proton-precession or alkali-vapour sensor) measures the SCALAR magnitude of the total magnetic field, |F|, at one point in space. A magnetic gradiometer uses TWO (or more) matched sensors mounted at a fixed, known SEPARATION (baseline), typically one above the other on a vertical staff for a vertical gradiometer, and reports the DIFFERENCE between the two readings divided by the baseline distance — i.e. it measures the spatial GRADIENT of the field, ∂F/∂z, rather than the field itself.
Because a gradiometer's output is a small DIFFERENCE between two large numbers, it is disproportionately sensitive to any mismatch between the two sensors: (1) sensor calibration/heading error — if the two sensors are not perfectly matched or oriented, a spurious apparent gradient appears even over uniform ground; (2) baseline/levelling error — an inaccurately known or non-vertical sensor separation biases the computed gradient; and (3) local sensor-mount noise (e.g. a magnetic component in the carrying staff itself) affects the small difference far more than it would affect either total-field reading individually. These errors mean gradiometers demand more careful, regularly-calibrated instrumentation than a single total-field magnetometer.
The single largest practical advantage is that a gradiometer's two sensors are read SIMULTANEOUSLY at (very nearly) the same location and time, so any temporal variation in the Earth's field common to both sensors — diurnal (Sq) variation, magnetic storms, secular drift — cancels almost exactly in the difference, removing the need for a base-station diurnal correction altogether. In addition, because the gradient of a dipolar/monopolar anomaly falls off with distance one power FASTER than the field itself, a gradiometer is inherently more sensitive to shallow, near-surface, spatially compact sources and correspondingly less sensitive to broad, deep regional field variations — it effectively performs a built-in high-pass (regional-suppressing) filter at the moment of acquisition, sharpening and better resolving small, shallow targets that would otherwise be masked by a larger regional field in a total-field survey.