弹性二相法新式的推导及应用

doi:10.13809/j.cnki.cn32-1825/te.2023.02.001

Abstract

Abstract:

For volumetric closed gas reservoirs, when the gas well produces with stable production rate, it can be divided into unsteady state stage, transient stage and pseudo steady state stage according to the variation behaviours of flowing bottom hole pressure and producing time. The unsteady state stage is called the elastic one-phase stage, and the pseudo steady state stage is called the elastic two-phase stage. The latter is a dynamic method to evaluate the Original Gas in Place（OGIP） controlled by gas wells. The elastic two-phase method proposed by CHEN Yuanqian in 1991 in the pseudo steady state stage has been repeatedly listed in the National Oil and Gas Industry Standards, and has been widely valued and applied in China. Based on the diffusion equation considering the elastic expansions of natural gas, rock and irreducible water in a gas well with stable production in the finite closed gas reservoir boundary, a new elastic two-phase method for the pseudo steady state stage represented by flowing bottom hole pressure and cumulative production rate is derived, which can be used to evaluate the original gas in place（OGIP）controlled by a gas well. The new formula of elastic two-phase method is superior to the old formula which based on the relationship between flowing bottom hole pressure and production time, and the new can overcome the influence of production fluctuation on the evaluation results. The application shows that the new formula of elastic two-phase method is practical and effective.

Key words: volumetric closed gas reservoir, pseudo steady state stage, elastic two-phase method, original gas in place, new formula, derivation, application

CLC Number:

CHEN Yuanqian,SHI Xiaomin. Derivation and application of a new formula of the elastic two-phase method[J].Reservoir Evaluation and Development, 2023, 13(2): 135-140.

Figures/Tables 4

Fig. 1

Table 1

Data of pressure draw down test of Well Su 5[7,9]"

t（d）	G_p（10⁴m³）	p_wf（MPa）	$p w f 2$ （MPa²）
0.045	0.446	26.722	714.049
0.111	1.113	26.007	676.385
0.139	1.388	25.913	671.489
0.183	1.833	25.819	666.605
0.228	2.279	25.703	660.649
0.283	2.833	25.602	655.483
0.345	3.446	25.561	653.380
0.395	3.946	25.495	649.975
0.505	5.054	25.373	643.804
0.639	6.388	25.335	641.847
0.833	8.333	25.233	636.704
1.100	11.000	25.148	632.397
1.522	15.221	24.977	623.846
1.800	18.000	24.913	620.643
2.278	22.779	24.705	610.332
2.889	28.888	24.511	600.789
3.916	39.158	24.187	584.992
5.229	52.288	23.816	567.188
6.790	67.896	23.452	550.010
8.345	83.454	23.166	536.668
10.873	108.729	22.538	507.979
13.998	139.979	21.921	480.530
16.623	166.229	21.481	461.453
19.304	193.038	21.013	441.534
22.165	221.646	20.528	421.411
24.568	245.675	20.093	403.717
28.206	282.063	19.504	380.390
30.037	300.371	19.212	369.097

Table 1

Fig. 2

Fig. 3

References 9

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Derivation and application of a new formula of the elastic two-phase method

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