基于水锤效应与倒谱变换的停泵压力分析方法

doi:10.13809/j.cnki.cn32-1825/te.2023.01.012

Abstract

Abstract:

Real-time monitoring and evaluation of fractures is one of the core issues in the multi-stage fracturing process of horizontal wells, and has long been a focus of many scholars. During the fracturing construction, the pressure during pump shutdown includes water hammer pressure and seepage pressure. By installing a high-frequency pressure device at the wellhead, not only the pump shutdown pressure drop curve but also the water hammer waveform curve can be completely collected. In this paper, the simulated pressure data are obtained by numerically solving the governing equation of wellbore water hammer. The cepstrum analysis of the simulated water hammer pressure verifies that the pressure generated by the water hammer has convolution characteristics. According to the related theory of wave impedance and cepstrum analysis, the water hammer wave can be used to determine the number of fracture clusters and the depth in multi-cluster fracturing of horizontal wells. The field application in Sichuan shale gas well shows that this method can find five liquid inlet points, of which the inversion results of four liquid inlet points are close to four perforation positions, and the remaining four clusters of holes in the design correspond to the liquid inlet points It was not detected in the cepstrum analysis.

Key words: high-frequency pressure monitoring, data analysis of pump shutdown, cepstrum analysis, multi-stage hydraulic fracturing for horizontal well, inversion of fracture parameter, liquid inlet location

CLC Number:

TE357

Xiaoqiang WANG,Li’an ZHAO,Zhiyuan WANG, et al. Data analysis method of pump shutdown pressure based on water hammer effect and cepstrum transformation[J]. Reservoir Evaluation and Development, 2023, 13(1): 108-116.

Figures/Tables 8

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Table 1

Numerical simulation parameter values"

参数名称	符号	取值
井指数[MPa/（m³·d^-1）]	$R$	5×10^-5
井筒存储常数（m³/MPa）	$C$	0.02
惯性系数（kg/m⁴）	$I$	100
井筒截面积（m²）	$A$	1.52×10^-2
波速（m/s）	c	1 194

Table 1

Fig. 5

Fig. 6

Table 2

References 31

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簇号	射孔顶、底（m）	倒谱峰值时间（s）	倒谱反演位置（m）
1	2 334.5~2 335.0	3.91	2 336.43
2	2 326.0~2 326.5
3	2 317.5~2 318.0
4	2 309.0~2 309.5	3.87	2 311.20
5	2 300.5~2 301.0	3.85	2 300.01
6	2 292.0~2 292.5
7	2 283.5~2 284.0	3.83	2 286.57
8	2 274.0~2 274.5
9	2 264.5~2 265.0	3.79	2 268.37

Data analysis method of pump shutdown pressure based on water hammer effect and cepstrum transformation

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