基于遗传算法建立的凝析气藏露点压力改进模型

摘要/Abstract

摘要：

利用前人实验测试结果,总结国内不同地区凝析气藏的露点压力数据,运用最优化算法遗传算法进行计算得到预测凝析气藏露点压力的模型,该模型考虑的影响因素比其它模型多,其中包括温度、流体组成、重组分分子量及相对密度、气油比,且其露点压力计算值与前人实验测试值接近,相对误差绝对值的平均值为3.05 %。为进一步验证该模型的预测能力,另外将TLM油田10口井样品的实验测试值与该露点压力改进模型、N-K、Elsharkawy、孙志道和王海应模型计算结果进行对比。其结果表明,本模型预测精度相对较高,其相对误差绝对值的平均值为1.79 %,其它模型的平均相对误差分别为49.53 %、27.05 %、3.30 %、7.05 %。

关键词: 露点压力, 凝析气藏, 遗传算法, 优化算法, 预测模型

Abstract:

By the experimental data of the forefathers and the dew point pressure of the gas condensate reservoirs derived from different parts of the domestic, we make an empirical correlation expression for the calculation of the dew point pressure based on the genetic algorithm（GA）. This expression considers more factors than that of other existing models including the temperature, fluid compositions, molecular mass and density ratio of heavy constituent, gas-oil ratio. The calculation results are more closed to the experimental data than the previous test values. The average of the relative error's absolute value is 3.05 %. In order to further verify the new empirical expression's prediction ability, the experimental data of other 10 groups of dew point pressure are compared with the results calculated by four models that is the N-K, Elsharkawy, Sun Zhidao's model and Wang Haiying's model. The results are relatively high in accuracy with the absolute value of 1.79 %. The absolute values of other four models are 49.53 %, 27.05 %, 3.30 % and 7.05 %.

Key words: dew point pressure, gas condensate reservoir, genetic algorithm（GA）, optimization algorithm, prediction model

中图分类号:

TE31

孙雷,周芳芳,夏静等. 基于遗传算法建立的凝析气藏露点压力改进模型[J]. 油气藏评价与开发, 2018, 8(3): 12-17.

Lei Sun,Fangfang Zhou,Jing Xia, et al. An improved dew point pressure model for condensate gas based on genetic algorithm[J]. Reservoir Evaluation and Development, 2018, 8(3): 12-17.

图/表 14

表1

N-K关联式普遍化参数值"

$i$	$A i$	$i$	$A i$
1	-2.062 305 4×10^-2	7	7.429 995 1×10^-5
2	6.625 972 8×10^-3	8	-0.113 811 95
3	-4.467 055 9×10^-3	9	6.247 649 7×10^-4
4	-1.880 702 3×10^-3	10	-1.071 686 6×10^-3
5	3.267 371 4×10^-3	11	10.746 622
6	-3.645 327 7×10^-3	12	6.895×10^-3

表1

表2

楚纪正关联式普遍化参数值"

$i$	$A i$	$i$	$A i$
1	254.74	10	-0.474 54
2	-9.954 1	11	5.382 7
3	0.409 58	12	-0.224 53
4	-0.031 323	13	0.084 961
5	-0.891 23	14	0.000 687 28
6	0.054 063	15	-0.000 882 31
7	-0.327 52	16	0.001 663 5
8	-0.017 871	17	0.005 361 1
9	7.204 1	18	0.005 196 4

表2

表3

Humoud和Al-Marhoun关联式普遍化参数值"

$i$	$β i$	$i$	$β i$
0	43.777 183	4	-4.291 404
1	-3.594 131	5	-3.698 703
2	-0.247 436	6	-4.590 091
3	-0.053 527

表3

表4

Elsharkawy关联式普遍化参数值"

$i$	$A i$	$i$	$A i$
0	4 268.85	11	40 660.36
1	0.094 056	12	205.26
2	-7 157.87	13	-7 260.32
3	-4 540.58	14	-352.413
4	-4 663.55	15	-114.519
5	-1 357.56	16	8.133
6	-7 776.1	17	94.916
7	-9 967.99	18	238.252
8	-4 257.1	19	0.006 897
9	-1 417.1	20	-459.67
10	691.529 8

表4

表5

王海应普遍化参数值"

$i$	$A i$	$i$	$A i$
1	554.560 2	6	457.547 7
2	-0.211 8	7	0.174 4
3	-445.646 9	8	-62.931 6
4	-447.142 0	9	-156.858 3
5	-713.055 0	10	-49.413 3

表5

图1

Table 6

表7

凝析气藏流体物性数据"

井号	T/ K	$y N 2 + C O 2$ , %	$y C 1$ ,%	$y C 2 - 6$ ,%	$y C 7 +$ , %	$M C 7 +$ , （g·mol^-1）	$γ C 7 +$	R/（m³·m^-3）	露点压力/MPa	露点压力计算值/MPa	绝对误差
DH12	389.15	2.53	74.95	15.54	6.98	197	0.823	1 030	50.47	49.19	-1.280
YH2	412.05	4.64	75.1	14.01	6.25	228	0.844	1 002	47.67	47.68	0.011
JL109	376.95	5.65	84.32	6.38	3.65	159	0.795	2 737	45.57	46.72	1.146
JL102	375.15	6.72	81.99	7.45	3.84	152	0.802	3 250	45.28	45.48	0.199
YM7	378.15	2.13	86.62	8.86	2.39	144	0.783	4 146	45.08	44.81	-0.272
LN59	399.85	3.54	94.22	1.17	1.07	166	0.801	11 865	44.69	44.34	-0.349
YH3	410.15	4.85	70.38	14.93	9.84	189	0.827	847.8	44.13	45.75	1.620
LN58	379.85	6.36	79.64	8.09	5.91	142	0.782	1 581	43.9	44.89	0.986
YM23	377.55	1.99	88.2	8.32	1.49	172	0.805	7 069	43.41	47.78	4.374
TZ402	377.15	6.91	74.09	13.4	5.6	154	0.804	1 256	43.33	44.51	1.181
TZ421	376.15	12.85	65.59	15.14	6.42	138	0.762	1 248	42.14	41.29	-0.847
TZ101	384.85	10.89	84.26	3.59	1.26	145	0.805	10 568	40.87	41.14	0.271
TZ1	392.15	14.69	71.6	9.76	3.95	143	0.783	2 383	40.77	37.90	-2.865
TZ6	387.05	8.35	86.33	4.31	1.01	136	0.804	13 142	39.83	40.42	0.592
TZ422	377.55	10.96	74.95	11.68	2.41	134	0.775	2 800	37.93	39.39	1.457
T1	410.15	1.89	71.87	18.82	7.42	152	0.79	1 298	36.85	40.01	3.158
TZ1	390.15	14.96	74.56	7.81	2.67	131	0.772	3 692	35.77	36.69	0.925

表7

图2

表8

图3

表9

凝析气藏露点压力预测结果对比"

井号	$T$ / K	$y N 2 + C O 2$ ,%	$y C 1$ ,%	$y C 2 - C 6$ ,%	$y C 7 +$ ,%	$M C 7 +$ /（g·mol）	$γ C 7 +$	$R$ /（m³·m^-3）	露点压力/MPa	露点压力计算值 /MPa	相对误差的绝对值
1	418.15	4.67	63.70	21.52	10.10	147	0.792	530	38.19	38.26	0.19
2	376.95	4.99	82.67	7.72	4.62	139	0.782	1865	46.28	44.96	2.86
3	410.75	3.36	95.57	0.77	0.30	205	0.847	31 426	46.95	47.08	0.29
4	378.45	5.16	84.96	6.50	3.38	143	0.787	3 004	44.33	44.67	0.77
5	405.65	3.90	94.75	1.14	0.21	174	0.821	45 001	43.99	44.87	2.00
6	396.95	8.50	86.86	4.08	0.56	124	0.759	37 177	39.51	38.43	2.72
7	378.15	15.48	72.94	8.67	2.91	124	0.759	2 983	36.93	37.89	2.60
8	389.95	9.58	85.43	3.91	1.08	136	0.777	10 577	39.34	39.89	1.40
9	419.05	9.54	70.39	9.15	10.93	144	0.788	717	38.75	39.87	2.89
10	423.77	2.50	77.34	9.04	11.11	153	0.799	974	41.64	42.55	2.18

表9

表10

图4

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预测方法	相对误差绝对值平均值,%
N-K	40.725
Elsharkawy	16.887
孙志道	3.513
王海应	7.435
本方法	3.05