﻿ 水平井阵列持水率测井资料成像插值算法分析 Analysis on Imaging Interpolation Algorithm for Logging Data of Water Holdup Array Tool in Horizontal Wells

Journal of Oil and Gas Technology
Vol.38 No.01(2016), Article ID:17116,9 pages
10.12677/jogt.2016.381004

Analysis on Imaging Interpolation Algorithm for Logging Data of Water Holdup Array Tool in Horizontal Wells

Hongwei Song1,2, Haimin Guo1,2

1Key Laboratory of Exploration Technologies for Oil and Gas Resources (Yangtze University), Ministry of

Education, Wuhan Hubei

2School of Geophysics and Oil Resources, Yangtze University, Wuhan Hubei

Received: Aug. 30th, 2015; accepted: Jan. 7th, 2016; published: Mar. 15th, 2016

ABSTRACT

With the progress of science and technology, imaging observation technology was more and more advanced. The large well logging companies abroad pushed out the full well logging tool of array holdup applied in flow imaging logging; this tool could measure the local water holdup at the circular ring inner wall of the casing at the same depth. Based on data feature of logging data of CAT, the principles of simple inverse distance weighting value, Gauss basis function interpolation, ordinary Kriging interpolation and variogram function inverse weighting method were analyzed in this paper. The comparison of these interpolation methods both in theory and in practical application shows that the result of Kriging interpolation method is better than that of the other three methods. The result can better show the distribution of the medium of oil-water in the well and total water holdup clearly and directly.

Keywords:Horizontal Well, Water Holdup Array Tool, Flow Imaging, Production Logging

1油气资源与勘探技术教育部重点实验室(长江大学)，湖北 武汉

2长江大学地球物理与石油资源学院，湖北 武汉

1. 引言

2. 成像插值算法

CAT仪器是用来解决在水平井或大斜度井中区别井下流相的分布，它在井中居中测量，并且和井斜仪配合测量。由于油、气、水有不同的介电常数，每个探头的输出频率随着它周围流体的不同而变化，对仪器进行刻度可准确地鉴别探头周围流体的性质。仪器由12个特定的微小的电容传感器组成，并安装于每个弹簧弓里，每个探头测量其周围流体的介电常数，12个值同时传送给地面或存储单元，通过数据处理和仪器在油和水中的刻度将响应值转化为每个探头的局部持水率 [4] 。CAT仪器的12个探头均匀分布在井筒截面圆周上，为单环模式(见图1图2)。根据12个探头的测井响应值对井截面进行插值成像，实际上就是根据12个探头的响应值对井筒截面上其他点的局部响应值进行插值估计，再根据井筒截面上持水率的高低分配以不同的颜色显示，展示出整个井筒截面上的流体分布情况。

Figure 1. CAT single ring mode of capacitance array water holdup logging tool

Figure 2. The profile distribution of 12 probes of CAT instrument

2.1. 简单距离反比加权插值原理

(1)

2.2. 高斯径向基函数插值原理

(2)

(3)

2.3. 普通克里金插值原理

(4)

λi ()为待求权系数，无偏性和估计方差最小被作为λi选取的标准，即：

(5)

(6)

(7)

(8)

(9)

(10)

(11)

2. 3.1. 克里金插值法中的变差函数

(12)

2.3.2. 变差函数的理论模型

(13)

2.4. 克里金中的变差函数距离反比插值原理

(14)

3. 算法理论分析

4. 在实际应用中效果比较

Figure 3. Comparison diagram of inverse distance weighting, Gaussian radial basis function, variation function distance inverse function

Figure 4. CAT interpolation image data processing module

Table 1. Water holdup of 12 CAT probes in horizontal well

Table 2. Comparison for cross validation results of interpolation algorithms

Figure 5. CAT experimental data for water holdup imaging processing results under different water cut conditions being compared with the test pictures

5. 结语

Analysis on Imaging Interpolation Algorithm for Logging Data of Water Holdup Array Tool in Horizontal Wells[J]. 石油天然气学报, 2016, 38(01): 24-32. http://dx.doi.org/10.12677/jogt.2016.381004

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