Question 2 of 10: Gamma Ray Log Character by Lithology
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Notes on this paper
National Examinations, 17-Pet-B1, Well Logging and Formation Evaluation — December 2019, 3 hours, closed book (Casio or Sharp approved calculators permitted), 10 questions, all marked.
Reference texts: Bassiouni, Theory, Measurement, and Interpretation of Well Logs (SPE Textbook Series Vol. 4); Asquith & Krygowski, Basic Well Log Analysis, 2nd ed. (AAPG); Ellis & Singer, Well Logging for Earth Scientists, 2nd ed.; Schlumberger, Log Interpretation Charts / Log Interpretation Principles and Applications.
Question 2: Gamma Ray Log Character by Lithology (7 marks)
The exam’s figure is NOT a serrated, stylised sketch: it is a clean box-car trace — ten beds, each a flat vertical plateau joined by horizontal steps, with depth increasing downwards and radioactivity increasing to the right. The plateau positions (deflections normalised so the leftmost plateau is 0% and the rightmost is 100% of the trace’s full swing) give only seven distinct levels for the ten beds:
Bed (top to bottom)
Normalised deflection
Lithology
1
84%
Shale (1)
2
0%
Anhydrite (6)
3
84%
Shale (1)
4
64%
Sandy shale (5)
5
84%
Shale (1)
6
4%
Limestone (3)
7
100%
Black marine shale (7)
8
12%
Sandstone (2)
9
45%
Shaly sand (4)
10
82%
Shale (1)
That structure makes the question exact rather than a matter of taste. One level (82–84%) recurs on four separate beds — beds 1, 3, 5 and 10 — and a level that repeats between every other bed is, by construction, the enclosing shale the other lithologies are interbedded with. That fixes zone 1 immediately and leaves exactly six remaining beds for the six remaining lithologies, which then sort uniquely by increasing radioactivity:
Anhydrite (6) — bed 2, 0%, the lowest plateau on the log. CaSO4 contains no K, U or Th at all, so it reads the minimum of the whole trace.
Limestone (3) — bed 6, 4%. Clean calcite is almost as radioactivity-free as anhydrite, but the printed trace separates them by a small, consistent step; the figure therefore DOES distinguish the two, and both must be located individually.
Sandstone (2) — bed 8, 12%. Clean quartz sand sits just above the two evaporite/carbonate end-members: trace feldspar, mica and heavy-mineral content give it a small but real GR above zero.
Shaly sand (4) — bed 9, 45%. Sand-dominated with dispersed/laminated clay: a clearly intermediate plateau, roughly half-way to the shale level.
Sandy shale (5) — bed 4, 64%. The mirror-image mixture, shale-dominated with a sand fraction, so it reads higher than shaly sand but still visibly below the clean shale level.
Shale (1) — beds 1, 3, 5 and 10, 82–84%. The recurring background level, from K-bearing clay minerals.
Black marine shale (7) — bed 7, 100%, the maximum of the trace. Organic-rich marine shale deposited under reducing bottom water adsorbs uranium on top of its ordinary clay K and Th, so it reads ABOVE the ordinary shale level — the only bed on the log that does.
The exam’s gamma-ray trace: ten box-car beds at seven distinct levels, with the recurring 82–84% level (dashed) identifying the enclosing shale and the other six lithologies sorting uniquely by increasing radioactivity.
Check: the printed figure carries no API scale, so the plateau positions are taken as a percentage of the trace’s own full swing (leftmost plateau = 0%, rightmost = 100%) rather than in API units. The assignment does not depend on that normalisation — only on the ORDER of the seven levels and on the fact that one of them recurs four times.