c) Your subsurface team has determined the following thresholds and defined the associated events A and B as: Event A: Porosity > 10.0% Event B: Acoustic Impedance ≤ 30 kg/m²s*10³ Provide the following probabilities for the team to support your pre-drill prediction model: vi. Prob(A | B) i. Prob(AUB) ii. Prob (An B) iii. Prob (BBC) iv. Prob(AUBC) v. Prob(BU BC) vi. Prob(A | Bº)

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c) Your subsurface team has determined the following thresholds and defined the associated
events A and B as:
Event A: Porosity ≥ 10.0%
Event B: Acoustic Impedance ≤ 30 kg/m²s*10³
Provide the following probabilities for the team to support your pre-drill prediction model:
i. Prob(AUB)
iv. Prob (A U BC)
vi. Prob(A | B)
ii. Prob(An B)
v. Prob(BUBC)
iii. Prob (BBC)
vi. Prob(A | BC)
Transcribed Image Text:c) Your subsurface team has determined the following thresholds and defined the associated events A and B as: Event A: Porosity ≥ 10.0% Event B: Acoustic Impedance ≤ 30 kg/m²s*10³ Provide the following probabilities for the team to support your pre-drill prediction model: i. Prob(AUB) iv. Prob (A U BC) vi. Prob(A | B) ii. Prob(An B) v. Prob(BUBC) iii. Prob (BBC) vi. Prob(A | BC)
3. Marginal, Conditional and Joint Probability: You are on the St. Malo (Gulf of Mexico)
reservoir subsurface development team and you have just collected data from a new well.
You need to understand the relationship between acoustic impedance and porosity to
improve your predictions of porosity from seismic. You built a joint frequency table for
porosity and acoustic impedance as follows:
Porosity (%)
12.5 12 000
10.0 12 320
7.5 0353
1
2
2 4 2
1 3 1 2
10 30 50 70 90
Acoustic Impedance (kg/m2s*10^3)
a) Calculate the joint probability table
Porosity (%)
5.0 0
2.5 0
12.5
10.0
7.5
5.0
2.5
10 30 50 70 90
Acoustic Impedance (kg/m2s*10^3)
b) Calculate the conditional probability for porosity given acoustic impedance of 70
kg/m²s*10³.
P(Porosity Al = 70)
2.5 5.0 7.5 10.0 12.5
Porosity (%)
Transcribed Image Text:3. Marginal, Conditional and Joint Probability: You are on the St. Malo (Gulf of Mexico) reservoir subsurface development team and you have just collected data from a new well. You need to understand the relationship between acoustic impedance and porosity to improve your predictions of porosity from seismic. You built a joint frequency table for porosity and acoustic impedance as follows: Porosity (%) 12.5 12 000 10.0 12 320 7.5 0353 1 2 2 4 2 1 3 1 2 10 30 50 70 90 Acoustic Impedance (kg/m2s*10^3) a) Calculate the joint probability table Porosity (%) 5.0 0 2.5 0 12.5 10.0 7.5 5.0 2.5 10 30 50 70 90 Acoustic Impedance (kg/m2s*10^3) b) Calculate the conditional probability for porosity given acoustic impedance of 70 kg/m²s*10³. P(Porosity Al = 70) 2.5 5.0 7.5 10.0 12.5 Porosity (%)
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