Difference between revisions of "Oil Material Balance"

Revision as of 12:31, 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:

N_p B_o + N_p (R_p - R_s) B_g = N (B_o - B_{oi}) + N (R_{si} - R_s) B_g + m N B_{oi} (\frac{B_g}{B_{gi}} - 1) + (P_i - P_{res}) N (1 + m) B_{oi} \frac{c_w S_{wc} + c_f}{1 - Swc}- (W_p B_w - W_i B_w - G_{gi} B_{gi} - W_e B_w)

Np * Bo + Np * (Rp - Rs) * Bg = N * (Bo - Boi) + N * (Rsi - Rs) * Bg + m * N * Boi * (Bg / Bgi - 1) + (Pi - Pres)* N * (1 + m) * Boi * (cw * Swc + cf) / (1 - Swc) - (Wp * Bw - Wi * Bw - Ggi * Bgi - We * Bw)

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))

GIIP \times B_{gi}= (GIIP - G_p) B_g

Nomenclature

B_g

= gas formation volume factor, ft³/scf

B_{gi}

= initial gas formation volume factor, ft³/scf

GIIP

= gas initially in place, scf

G_p

= cumulative gas produced, scf

References

↑ Dake, L.P. (1978). Fundamentals of reservoir engineering. Amsterdam, Hetherlands: Elsevier Science. ISBN 0-444-41830-X.

[DakeF-1] Dake, L.P. (1978). Fundamentals of reservoir engineering. Amsterdam, Hetherlands: Elsevier Science. ISBN 0-444-41830-X.

[1]

@@ Line 6: / Line 6: @@
 Equating all underground withdrawals to the sum of the volume changes:
-:<math>N_p B_o + N_p (R_p - R_s) B_g = N (B_o - B_{oi}) + N (R_{si} - R_s) B_g + m N B_{oi} (\frac{B_g}{B_{gi}} - 1) + (P_i - P_{res}) N (1 + m) B_{oi} \frac{c_w S_{wc} + c_f}{1 - Swc}</math>
+:<math>N_p B_o + N_p (R_p - R_s) B_g = N (B_o - B_{oi}) + N (R_{si} - R_s) B_g + m N B_{oi} (\frac{B_g}{B_{gi}} - 1) + (P_i - P_{res}) N (1 + m) B_{oi} \frac{c_w S_{wc} + c_f}{1 - Swc}- (W_p B_w - W_i B_w - G_{gi} B_{gi} - W_e B_w) </math>
 Np * Bo + Np * (Rp - Rs) * Bg = N * (Bo - Boi) + N * (Rsi - Rs) * Bg + m * N * Boi * (Bg / Bgi - 1) + (Pi - Pres)* N * (1 + m) * Boi * (cw * Swc + cf) / (1 - Swc) - (Wp * Bw - Wi * Bw - Ggi * Bgi - We * Bw)

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