[1]孟宪伟,刘洪杰,王佩文,等. 基于卷积和矩阵变流量压降试井解释新方法[J].油气井测试,2018,27(03):1-6.[doi:10.19680/j.cnki.1004-4388.2018.03.001]
　MENG Xianwei,LIU Hongjie,WANG Peiwen,et al. A new interpretation technique based on convolution and matrix for variablerate falloff test[J].Well Testing,2018,27(03):1-6.[doi:10.19680/j.cnki.1004-4388.2018.03.001]
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 基于卷积和矩阵变流量压降试井解释新方法()
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《油气井测试》[ISSN:1006-6977/CN:61-1281/TN]

卷:
27
期数:
2018年03期
页码:
1-6
栏目:
出版日期:
2018-06-25

文章信息/Info

Title:
 A new interpretation technique based on convolution and matrix for variablerate falloff test
文章编号:
1004-4388(2018)03-0001-06
作者:
 孟宪伟; 刘洪杰; 王佩文; 刘军; 张浩; 郑建军
 中海石油（中国）有限公司蓬勃作业公司，天津，300459
Author(s):
 MENG Xianwei;  LIU Hongjie;  WANG Peiwen;  LIU Jun;  ZHANG Hao;  ZHENG Jianjun
 Pengbo Operation Company of CNOOC (China) Co., Ltd., Tianjin 300459, China
关键词:
 ; 变流量试井; 压降测试; 杜哈美原理; 卷积; 矩阵; 最优化方法; 点源函数
Keywords:
 ; variablerate well testing;  falloff test;  Duhamel’s principle;  convolution;  matrix;  optimal method;  pointsource function
分类号:
TE353
DOI:
10.19680/j.cnki.1004-4388.2018.03.001
文献标志码:
A
摘要:
 

为解决油井压降测试过程中变流量下的压力动态响应问题，克服实际应用中缺少高精度压力数据的困难，使不稳定试井分析方法能够应用实际生产动态数据评价油气藏，应用杜哈美积分原理结合线性系统的卷积理论引出基于离散系统卷积和矩阵的压力动态响应关系式，选用单井径向流点源函数建立模型；利用油井实际压降测试数据和最优化方法求解符合该井实际生产动态的模型参数。利用离散系统卷积和矩阵关系式模型结合最优化方法求得的压力响应结果符合实际生产动态，求解得到理论解和实际测试结果误差较小；模型反映了油井的生产动态特性，可对油气藏历史生产状况进行评价，同时对生产动态预测具有较好应用价值。通过建立卷积和矩阵关系式模型，解决了变流量下的压力动态响应和缺少高精度压力条件下不稳定压力分析方法解释困难的问题。该模型可扩展性强，应用点源函数理论可推广到不同的实际油藏模型。

Abstract:
 

To highlight dynamic pressure responses under variable flow during falloff test of oil wells for providing highresolution

pressure data to facilitate the pressure transient well testing in reservoir assessment, the Duhamel integral principle and the convolution theory for linear system were combined to generate the

correlation between discrete system convolution sum matrix for identifying dynamic pressure responses. Then, the model was constructed by using radial flow pointsource function of a well, and

actual falloff test data and optimal method were used jointly to derive the model parameters conforming to the actual production performance of the well. It is indicated that the pressure responses

derived by using the model constructed according to the discrete system convolution sum matrix correlation together with the optimal method coincide well with actual production performance. Minor

errors are observed between actual testing data and the theoretical solution derived through optimal solution of the model. The proposed model reflects the production performance of oil well, and

it can be used to assess the production history of reservoirs and also predict the production performance. The model based on the convolution sum matrix correlation can derive the dynamic pressure

responses under variable flow and provides a technique of transient pressure analysis without highprecision pressure data. This model is expandable and can be extended to different reservoirs in

conjunction with the pointsource function.

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备注/Memo

备注/Memo:
 2018-03-08收稿,2018-04-19修回,2018-05-10接受,2018-06-15网络版发表
“十三五”国家科技重大专项“渤海油田加密调整及提高采收率油藏工程技术示范”

孟宪伟，男，1984年出生，硕士，工程师，2010年毕业于中国石油勘探开发研究院油气田开发专业，现主要从事油气田开发方面研究工作。电话：

022-66501625，15122162784；Email：mengxw@cnooc.com.cn。地址：天津市滨海新区塘沽海川路2121号渤海石油管理局A座，邮政编码：300459。

更新日期/Last Update: 2018-08-09