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24-Pet-B1 Natural Gas Engineering · May 2016

Question 7 of 12: Order of Magnitude of the SNP Panel Correction

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

Notes on this paper

National Exams, 98-Pet-B1, Well Logging and Formation Evaluation — May 2016, 3 hours, closed book (approved calculators permitted), 12 questions, all of them marked, values shown per question. neutron and density tools, SP, caliper, Archie, and log crossplots. There is no natural-gas-engineering content in the paper. All twelve questions are answered below.

Reference texts: Bassiouni, Theory, Measurement, and Interpretation of Well Logs (SPE Textbook Series Vol. 4); Asquith & Krygowski, Basic Well Log Analysis, 2nd ed. (AAPG Methods in Exploration 16); Ellis & Singer, Well Logging for Earth Scientists, 2nd ed.; Schlumberger, Log Interpretation Charts / Log Interpretation Principles and Applications.

The exam supplies a formula sheet (page 15) and four chart attachments: an SNP borehole-size correction chart and a nonideal-shale-membrane SP departure chart (page 16), SNP mud-weight and temperature/pressure correction charts (page 17), and a water-oil relative permeability ratio chart plus the Schlumberger Rw-equivalent conversion chart (page 18). Every chart reading below is quoted with the reading tolerance it deserves.

Question 7: Order of Magnitude of the SNP Panel Correction (7 marks)

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.

Given.

QuantityValue
Raw SNP porosity from the calibration curves25 p.u.
Borehole diameter6 in (calibration hole is 7⅞ in)
Drilling fluid12 lb/gal barite, fresh-water base (83 % water by volume)
Formation temperature160 °F (chart is drawn for 175 °F)
Formation pressure3800 psia

Find. The size of the correction the SNP surface panel applies automatically — not the total environmental correction.

Approach. The question turns on a distinction printed on the charts themselves. Read each attachment chart at 25 p.u., separate the corrections labelled "computed from caliper signal and automatically applied by panel" and "correction applied automatically by panel" from the one that is not so labelled, and sum only the automatic ones.

raw SNP reading25.0 p.u., calibration curves+ borehole size (6 in)+2.2 p.u. PANEL+ mud weight (12 lb/gal)+1.7 p.u. PANEL+ temperature and pressure+0.6 p.u. MANUAL252627282930panel output 28.9 p.u.SNP porosity, porosity unitstotal panel correction about +4 p.u.
Waterfall of the SNP environmental corrections at 25 p.u. The panel applies the borehole-size and mud-weight terms automatically; the temperature and pressure term is left to the analyst.
  1. Borehole-size correction — panel applied. The upper chart on attachment page 16 plots the correction for 6-in and 10-in boreholes against porosity derived assuming a 7⅞-in hole, and is captioned "CORRECTION COMPUTED FROM CALIPER SIGNAL AND AUTOMATICALLY APPLIED BY PANEL". Entering the 6-in band at 25 p.u. and reading the mean of the shaded band, $$\Delta\phi_{bh} \approx +2.2\ \text{p.u.}$$ The sign is positive because the calibration assumes a larger (7⅞-in) hole; a narrower hole puts less moderating mud in front of the skid, the count rate rises, and the uncorrected reading is too low.
  2. Mud-weight correction — panel applied. The upper chart on attachment page 17 gives the correction for weighted muds against porosity derived assuming fresh water (8.3 lb/gal) in the hole, and carries the caption "CORRECTION APPLIED AUTOMATICALLY BY PANEL". Entering the 12 lb/gal barite (83 % water) band at 25 p.u., $$\Delta\phi_{mud} \approx +1.7\ \text{p.u.}$$
  3. Sum the automatic corrections. These two are the corrections the panel makes on its own, from the caliper signal and the entered mud weight: $$\Delta\phi_{panel} = \Delta\phi_{bh} + \Delta\phi_{mud} = 2.2 + 1.7$$ $$\boxed{\Delta\phi_{panel} \approx +3.9 \approx +4\ \text{porosity units}}$$ which is about 16 % of the raw 25 p.u. reading. The panel therefore outputs approximately $$\phi_{SNP} = 25.0 + 3.9 = 28.9\ \text{p.u.}$$
  4. Identify what the panel does NOT correct. The lower chart on page 17, "correction for temperature of 175 °F" with its "Combined Temperature and Pressure Corrections" curve, carries no automatic-application caption. At 25 p.u. the combined temperature-and-pressure curve gives roughly $+0.6$ p.u., and because the true formation temperature here is 160 °F rather than the chart's 175 °F the term is at the low end of its range. This correction must be applied by hand, bringing the fully corrected porosity to about 29.5 p.u.

The answer to the question as asked is therefore the panel-applied total: an order of magnitude of a few porosity units, about +4 p.u. — not tenths of a unit, and not tens.

CorrectionMagnitude at 25 p.u.Applied by
Borehole diameter, 6 in+2.2 p.u.panel (from caliper signal)
Mud weight, 12 lb/gal barite+1.7 p.u.panel
Total panel correction≈ +3.9 p.u. (≈ +4 p.u., 16 % of the reading)panel
Panel output porosity28.9 p.u.—
Temperature and pressure (160 °F, 3800 psia)≈ +0.6 p.u.analyst, by hand
Fully corrected porosity≈ 29.5 p.u.—

Check: the three departure values are read from the shaded bands of the supplied charts and carry the width of those bands, roughly ±0.4 p.u. each. The conclusion — a panel correction of order +4 p.u., with the temperature/pressure term excluded from it — is unaffected by reading anywhere within the bands.