一种新型泡点压力预测模型的建立和应用——以塔里木油区为例

doi:10.13809/j.cnki.cn32-1825/te.2022.06.012

Abstract

Abstract:

Bubble point pressure（p_b） is an essential parameter for determining reservoir type, formulating reservoir development scheme and reservoir engineering calculation. It is also the basis for calculating oilfield reserves and selecting oil well working system. In order to conveniently and rapidly predict the bubble point pressure value of reservoir fluid, the empirical model for determining the bubble point pressure value of deep complex reservoir fluid is described based on a large number of PVT high-pressure physical property test data. And the main controlling factors affecting the bubble point pressure of oil in deep complex reservoir of Tarim oildom are analyzed and determined. Meanwhile, A model for rapid prediction of reservoir fluid bubble point pressure is established. Based on 132 groups of sample data in Tarim oil area, the regression analysis is carried out by using digital simulation software, and the values of 10 influencing factors and related parameters of the new bubble point pressure model are obtained. It is verified by the supplementary PVT experimental data of 10 subsequent formation fluid samples. Compared with the existing empirical formula, the prediction model has better prediction effect.

Key words: complex reservoirs, bubble point pressure, conjugate-gradient, empirical formula, fitting and contrast

CLC Number:

TE344

WANG Jiaying,ZHAO Renbao,LI Shuxuan,JIA Yu,FU Ning,QI Shuangyu. A new model to predict bubble point pressure: Its establishment and application in Tarim Oildom[J].Petroleum Reservoir Evaluation and Development, 2022, 12(6): 927-934.

Figures/Tables 21

Table 1

List of conventional empirical formulas"

常规经验公式	计算公式
STANDING	$p e x p = 24.46 R s γ g 0.83 × 10 1.638 × 10 - 3 T - 1.768 ? 6 γ o$
LASATER	$p e x p = 0.024 ? 2 T + 273 4.239 ? 5 y g 3.52 + 1 γ g ； y g = R s R s + 24 ? 056 γ o M o$ $γ o ≥ 0.834 ? 8 时， M o = 646.958 ? 8 - 1 ? 372.128 ? 7 1.076 γ o - 1$ $0.834 ? 8 ＞ γ o ＞ 0.788 ? 3 时， M o = 490.223 ? 7 - 857.627 ? 3 1.076 γ o - 1$ $γ o ＜ 0.788 ? 3 时， M o = 438.888 ? 9 - 730.555 ? 6 1.076 γ o - 1$
GLASO	$l o g p e x p = 1.744 ? 7 l o g p e x p * - 0.302 ? 18 l o g p e x p * 2 - 0.394 ? 6$ $p e x p * = 4.087 ? 6 R s γ g 0.816 1.821 ? 3 5.625 × 10 - 2 T + 1 0.173 124.628 ? 5 1.076 γ o - 1 0.989$
AL-MARHOUN	$p e x p = 0.470 ? 751 R s 0.715 ? 082 γ g - 1.877 ? 840 γ o 3.143 ? 700 (3.658 ? 5 × 10 - 3 T + 1) 1.326 ? 570$
DOKLA-QSMAN	$p e x p = 0.544 ? 021 R s 0.724 ? 047 γ g - 1.010 ? 49 γ o 0.107 ? 991 (3.658 ? 5 × 10 - 3 T + 1) 0.952 ? 584$

Table 1

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经验公式	p_b（MPa）	R_s（m³/m³）	γ_g	γ_o	T（℃）	CO₂含量（%）	N₂含量（%）
STANDING	0.90~24.64	3.56~253.60	0.75~1.37	0.73~0.96	37.80~126.00
GLASO	1.03~48.26
LASATER	0.33~39.85	0.53~517.38	0.57~1.22	0.77~0.95	27.80~133.44
AL-MARHOUN	0.10~45.79	0~588.08	0.58~2.51	0.76~1.00	24.00~149.00
DOKLA-QSMAN	4.07~31.99	32.60~408.15	0.80~1.29	0.82~0.89	87.78~135.00	0.37 ~ 8.90	0~3.89
塔里木油区	1.90~74.30	3.00~713.00	0.61~1.50	0.78~1.02	83.60~164.40	0~13.70

序号	模型参数	对应影响因素
1	P₁	溶解气油比R_s（m³/m³）
2	P₂	溶解气相对密度γ_g
3	P₃	地层温度T（℃）
4	P₄	脱气原油相对密度γ_o
5	P₅	CO₂摩尔分数（%）
6	P₆	N₂和C₁摩尔分数（%）
7	P₇	C₂—C₆的摩尔分数（%）
8	P₈	C₇₊的摩尔分数（%）
9	P₉	临界压力p_cr（MPa）
10	P₁₀	临界温度T_cr（℃）

序号	模型参数	最优解	序号	模型参数	最优解
1	P₁	0.032 7	6	P₆	-0.448 1
2	P₂	0.786 8	7	P₇	-0.016 9
3	P₃	-0.254 2	8	P₈	0.194 5
4	P₄	0.950 8	9	P₉	0.017 2
5	P₅	4.072 3	10	P₁₀	0.870 6

序号	模型参数	最优解
1	P₁	-0.094 2
2	P₂	-0.515 3
3	P₃	2 497.081 9
4	P₄	-0.099 6
5	P₅	-0.009 6
6	P₆	0.927 9
7	P₇	0.095 9

序号	井号	泡点压力p_b（MPa）	气油比 R_s（m³/m³）	脱气原油相对密度γ_o	地层温度T（℃）	溶解气相对密度γ_g	CO₂摩尔分数（%）	N₂和C₁ 摩尔分数（%）	C₂—C₆的摩尔分数（%）	C₇₊的摩尔分数（%）	临界压力p_cr（MPa）	临界温度T_cr（℃）
1	YM322-H3	7.75	33.00	0.90	117.40	0.84	0.91	18.83	12.76	67.50	5.11	407.60
2	ST2-9	18.53	88.00	0.78	103.70	0.83	0.09	39.74	14.84	45.33	7.35	410.80
3	YM33	14.28	89.00	1.03	130.30	0.83	0.87	25.56	28.29	45.28	7.15	439.50
4	JY1-1	19.80	128.00	0.89	153.80	0.82	1.01	35.82	23.64	39.53	9.03	412.00
5	TZ62-2	37.32	154.00	0.64	132.30	0.84	2.00	58.57	4.15	35.28	17.54	431.00
6	QL1	30.68	156.00	0.77	113.40	0.84	0.11	50.68	17.32	31.89	12.90	452.80
7	LG11-1	50.02	172.00	0.61	118.00	0.86	1.35	65.93	2.56	30.16	15.86	482.00
8	YM17-1	50.09	207.00	0.65	105.80	0.85	0.09	63.62	8.89	27.40	23.58	469.70
9	ZG15-2	34.28	317.00	0.78	134.40	0.79	3.37	57.37	14.98	24.28	25.05	318.90
10	YM1	39.48	415.00	0.67	156.50	0.80	1.16	67.13	17.74	13.97	22.13	313.60

A new model to predict bubble point pressure: Its establishment and application in Tarim Oildom

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经验公式	模型考虑因素个数	泡点压力绝对误差平均值（MPa）	相对误差平均值（%）
STANDING	4	6.74	12.5
LASATER	4	8.16	19.4
GLASO	4	5.63	12.9
AL-MARHOUN	4	5.37	1.6
DOKLA-QSMAN	4	13.25	44.4
新模型	10	1.87	0.3

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