18-Geol-A7 Applied Geophysics · December 2019
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — December 2019 — 18-Geol-A7 Applied Geophysics. Three-hour, closed-book exam; approved Casio or Sharp calculator permitted. The paper offers a choice of six of the following ten questions, each worth 16.66% of the total mark, and every question requires an essay-format answer — this is a genuinely all-essay sitting with no numeric data, formula sheet, or figure supplied in the source. All ten questions are answered below so the set stands as a complete study resource for choose-N-of-M exams.
Reference texts: Telford, Geldart & Sheriff, Applied Geophysics (2nd ed.) — the primary reference for every method touched in this paper (physical properties, gravity, magnetics, electrical/EM methods, seismic refraction/reflection, radiometrics, well logging, magnetotellurics); Kearey, Brooks & Hill, An Introduction to Geophysical Exploration (3rd ed.) — survey design, array geometry, data acquisition, processing and display; Blakely, Potential Theory in Gravity and Magnetic Applications — potential-field survey design and reduction (Q2); Selley & Sonnenberg, Elements of Petroleum Geology — well-logging tool context (Q7).
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.
1. Natural gamma-ray log. A passive scintillation or Geiger-Mueller detector lowered down the hole records total (or spectral K-U-Th) natural gamma radiation continuously with depth, with no source required. Geological use: gamma activity is diagnostic of lithology — shale and clay-rich units carry naturally elevated K (from clay minerals) and are readily distinguished from cleaner sand, sandstone or carbonate on the log, allowing bed boundaries and formation tops to be picked precisely and correlated hole-to-hole even through cased sections (gamma penetrates casing, unlike many other logging tools). Helps interpret other geophysical data: the downhole gamma log directly calibrates a surface or airborne gamma-ray spectrometric survey — it ties the surface K/U/Th anomaly pattern to the actual lithology and depth interval producing it, resolving ambiguity about whether a surface radiometric high reflects near-surface alteration or is simply reading through to a shallow radioactive unit.
2. Resistivity/induction log. A short-normal or induction-coil array is lowered down the hole and measures formation electrical resistivity as a function of depth (induction tools work in air- or oil-filled as well as fluid-filled holes, since they do not require direct galvanic contact with the borehole wall). Geological use: resistivity strongly depends on porosity and pore-fluid salinity (Archie's law), so the log discriminates porous, fluid-bearing zones (aquifers, permeable sand) from tight, low-porosity rock, and can flag zones of clay alteration or sulphide mineralization as sharp low-resistivity spikes. Helps interpret other geophysical data: the downhole resistivity-versus-depth profile is the direct ground-truth needed to convert a surface DC-resistivity sounding's apparent-resistivity curve into a correctly layered true-resistivity depth model, resolving the equivalence ambiguity inherent to surface soundings alone.
3. Sonic (acoustic) velocity log. A transmitter/receiver pair (or array) lowered down the hole emits an acoustic pulse and measures the travel time of the compressional (and often shear) wave along a fixed source–receiver spacing, giving interval velocity as a function of depth. Geological use: velocity correlates with rock competency, porosity and degree of fracturing, so the log identifies weak, weathered or highly fractured zones (low velocity) versus competent, intact rock (high velocity) — directly useful for rock-mass quality assessment in a geotechnical hole. Helps interpret other geophysical data: the sonic log (calibrated against a check-shot velocity survey in the same hole) is the key input to a synthetic seismogram, converting the depth-domain lithology at the hole into the time domain so that surface seismic reflection events can be tied confidently to specific geological horizons — without this tie, a surface seismic section can be read structurally but its reflectors cannot be assigned a definite geological identity.