Difference between revisions of "Oil Material Balance"
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== Nomenclature == | == Nomenclature == | ||
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| + | :<math> B_{g}</math> = gas formation volume factor, bbl/scf | ||
| + | :<math> B_{ginj}</math> = initial gas formation volume factor, bbl/scf | ||
| + | :<math> B_{ginj}</math> = injection gas formation volume factor, bbl/scf | ||
| + | |||
| + | :<math> B_{oi}</math>= initial oil formation volume factor, bbl/stb | ||
| + | :<math>B_o </math>= oil formation volume factor, bbl/stb | ||
| + | |||
| + | :<math> </math> | ||
| + | :<math> </math> | ||
| + | :<math> </math> | ||
| + | :<math> </math> | ||
| + | :<math> </math> | ||
| + | |||
| + | |||
| + | B_w | ||
| + | B_w | ||
| + | B_w | ||
| + | c_f | ||
| + | c_w | ||
| + | G_{gi} | ||
| + | M | ||
| + | m | ||
| + | N | ||
| + | N | ||
| + | N | ||
| + | N | ||
| + | N_p | ||
| + | N_p | ||
| + | P_{res} | ||
| + | P_i | ||
| + | R_{si} | ||
| + | R_p | ||
| + | R_s | ||
| + | R_s | ||
| + | S_{wc} | ||
| + | Swc | ||
| + | W_e | ||
| + | W_i | ||
| + | W_p | ||
| + | |||
:<math> B_g </math> = gas formation volume factor, ft<sup>3</sup>/scf | :<math> B_g </math> = gas formation volume factor, ft<sup>3</sup>/scf | ||
Revision as of 12:57, 28 March 2018
Brief
The general form of the Oil Material Balance equation was first published by Schilthuis in 1941[1].
Math & Physics
Equating all underground withdrawals to the sum of the volume changes[1]:
For use in the code to find Pres:
Pres = Pi - (Np * Bo + Np * (Rp - Rs) * Bg + (Wp * Bw - Wi * Bw - Ggi * Bgi - We * Bw) - (N * (Bo - Boi) + N * (Rsi - Rs) * Bg + m * N * Boi * (Bg / Bgi - 1))) * (1 - Swc) / (N * (1 + m) * Boi * (cw * Swc + cf))
For use in the code to find Np:
Np = (N * (Bo - Boi) + N * (Rsi - Rs) * Bg + m * N * Boi * (Bg / Bgi - 1) + N * (1 + m) * Boi * (Pi - Pres) * (cw * Swc + cf) / (1 - Swc) - (Wp * Bw - Wi * Bw - Ggi * Bgi - We * Bw)) / (Bo + (Rp - Rs) * Bg)
Discussion
... most powerful tool for investigating reservoirs and understanding their performance ...— L.P. Dake [2]
... the safest technique in the business since it's minimum assumption route through the subject of reservoir engineering ...— L.P. Dake [2]
See also
Nomenclature
= gas formation volume factor, bbl/scf
= initial gas formation volume factor, bbl/scf- = injection gas formation volume factor, bbl/scf
= initial oil formation volume factor, bbl/stb
= oil formation volume factor, bbl/stb
B_w
B_w
B_w
c_f
c_w
G_{gi}
M
m
N
N
N
N
N_p
N_p
P_{res}
P_i
R_{si}
R_p
R_s
R_s
S_{wc}
Swc
W_e
W_i
W_p
= gas formation volume factor, ft3/scf
= initial gas formation volume factor, ft3/scf
= gas initially in place, scf
= cumulative gas produced, scf
References
- ↑ 1.0 1.1 Dake, L.P. (1978). Fundamentals of Reservoir Engineering. Amsterdam, Hetherlands: Elsevier Science. ISBN 0-444-41830-X.
- ↑ 2.0 2.1 Dake, L.P. (1994). The Practice of Reservoir Engineering. Amsterdam, Hetherlands: Elsevier Science. ISBN 0-444-88538-2.
