Index
229
of individual pools, 52, 60
lognormal, 27–8, 31–4, 48, 57, 88, 119
mean and variance of, 25, 27, 36,
50–54, 121, 135, 137, 145
nonparametric, 57
power normal, 173
predicted, 54
skewed, 48–9
pool-size equation, 5, 17, 120–22, 135–6
approach with large number of
discoveries, 120
pool-size-by-rank, 27, 45–7, 49–51,
53, 55, 63, 74–9, 84, 133–5, 145,
148, 168
computing distribution, 50
estimation distortion, 50
and Monte Carlo simulation, 51
by order statistics, 45–6
population. See also superpopulation
covariance matrix, 45, 123
distribution, 12, 16, 18, 21, 26, 71,
74, 101–103, 105, 144, 171, 173
fi nite, 5, 12–13, 17, 28, 37, 42–3, 45,
61, 100–101, 161, 163–4, 174–5
infi nite, 12, 17
mixed, 8, 25, 50, 61–2, 68–72, 74, 76,
78–9, 143–4
natural, 7–8, 16, 101, 143, 174
random sample set, invalid
assumptions, 15–16
represented by sample mean and
variance, 15–16, 28
simulated, 27, 50, 61, 63, 66–70
statistical, 42–3, 143
porosity, 4, 11–13, 16, 41–2, 45, 103–4,
107, 111, 116, 120–22, 124–5,
136–8, 140, 147
impact on order of discovery, 42
values, 11–12
potential, 3–5, 26–8, 53, 57–9, 131–3,
144–9
conditional, 59
defi ned, 4
expected play, 58–60, 82, 84, 145–6
play, distribution, 27, 57–60, 131,
133, 148
possible play, 144
probable play, 59, 145
reservoir, shown on drill stem
test, 112
summing, 149
total remaining, 26
power normal. See distribution
prediction interval, 53, 55, 59–60,
74–9, 82–4, 146, 150
determining degree of best, 53
prediction uncertainty, measuring, 11,
13
preservation factor, 107–8, 115–16,
130, 133, 138
pressure, reservoir, 22, 137, 140
probabilistic model,
superpopulation, 27–8, 32–3
probabilistic statistical analysis, basic
assumptions, 88–9, 174–5
probability, frequentist interpretation
of, 48
probability distribution. See also
gamma, lognormal, Pareto,
PETRIMES, Weibull
conditional, 44, 59, 112, 114, 128,
135–6
considered as superpopulation
distribution, 124
constructing, 12, 103, 119, 127,
136–7, 139
from expert opinion, 147
continuous, 12–13, 16–18
discrete, 12, 16–17, 36, 91
empirical, 34, 54, 74, 100–101, 144
lognormal approximation of, 54,
101, 147
half-normal, 90–91
incorrect specifi cation of, impact on
resource evaluation, 61, 105
joint, 26, 31, 43, 119
marginal, 107–8, 111–15, 130,
137–8
prospect-level, 116
negative exponential, 30–31, 63,
69–70, 88, 161
normal, 90–91, 93–4, 103
one- and two-parameter
exponential, 91, 93–4
Poisson, 27, 38–9
pool-size. See also pool-size
distribution
empirical, 34, 91
in-place or recoverable volume,
defi ned, 5
and number-of-pools
distribution, 46
posterior number-of-pools, 27, 38–9
power normal, 90–91, 94, 105, 173
prior, 13, 33, 38, 50, 91, 103
shape assumption, 88
superpopulation model, 27–8
testing adequacy of, 91–100
uniform, 90–91
proportionate effect, law of, 103
229
of individual pools, 52, 60
lognormal, 27–8, 31–4, 48, 57, 88, 119
mean and variance of, 25, 27, 36,
50–54, 121, 135, 137, 145
nonparametric, 57
power normal, 173
predicted, 54
skewed, 48–9
pool-size equation, 5, 17, 120–22, 135–6
approach with large number of
discoveries, 120
pool-size-by-rank, 27, 45–7, 49–51,
53, 55, 63, 74–9, 84, 133–5, 145,
148, 168
computing distribution, 50
estimation distortion, 50
and Monte Carlo simulation, 51
by order statistics, 45–6
population. See also superpopulation
covariance matrix, 45, 123
distribution, 12, 16, 18, 21, 26, 71,
74, 101–103, 105, 144, 171, 173
fi nite, 5, 12–13, 17, 28, 37, 42–3, 45,
61, 100–101, 161, 163–4, 174–5
infi nite, 12, 17
mixed, 8, 25, 50, 61–2, 68–72, 74, 76,
78–9, 143–4
natural, 7–8, 16, 101, 143, 174
random sample set, invalid
assumptions, 15–16
represented by sample mean and
variance, 15–16, 28
simulated, 27, 50, 61, 63, 66–70
statistical, 42–3, 143
porosity, 4, 11–13, 16, 41–2, 45, 103–4,
107, 111, 116, 120–22, 124–5,
136–8, 140, 147
impact on order of discovery, 42
values, 11–12
potential, 3–5, 26–8, 53, 57–9, 131–3,
144–9
conditional, 59
defi ned, 4
expected play, 58–60, 82, 84, 145–6
play, distribution, 27, 57–60, 131,
133, 148
possible play, 144
probable play, 59, 145
reservoir, shown on drill stem
test, 112
summing, 149
total remaining, 26
power normal. See distribution
prediction interval, 53, 55, 59–60,
74–9, 82–4, 146, 150
determining degree of best, 53
prediction uncertainty, measuring, 11,
13
preservation factor, 107–8, 115–16,
130, 133, 138
pressure, reservoir, 22, 137, 140
probabilistic model,
superpopulation, 27–8, 32–3
probabilistic statistical analysis, basic
assumptions, 88–9, 174–5
probability, frequentist interpretation
of, 48
probability distribution. See also
gamma, lognormal, Pareto,
PETRIMES, Weibull
conditional, 44, 59, 112, 114, 128,
135–6
considered as superpopulation
distribution, 124
constructing, 12, 103, 119, 127,
136–7, 139
from expert opinion, 147
continuous, 12–13, 16–18
discrete, 12, 16–17, 36, 91
empirical, 34, 54, 74, 100–101, 144
lognormal approximation of, 54,
101, 147
half-normal, 90–91
incorrect specifi cation of, impact on
resource evaluation, 61, 105
joint, 26, 31, 43, 119
marginal, 107–8, 111–15, 130,
137–8
prospect-level, 116
negative exponential, 30–31, 63,
69–70, 88, 161
normal, 90–91, 93–4, 103
one- and two-parameter
exponential, 91, 93–4
Poisson, 27, 38–9
pool-size. See also pool-size
distribution
empirical, 34, 91
in-place or recoverable volume,
defi ned, 5
and number-of-pools
distribution, 46
posterior number-of-pools, 27, 38–9
power normal, 90–91, 94, 105, 173
prior, 13, 33, 38, 50, 91, 103
shape assumption, 88
superpopulation model, 27–8
testing adequacy of, 91–100
uniform, 90–91
proportionate effect, law of, 103