IPA14-SE-118
PROCEEDINGS, INDONESIAN PETROLEUM ASSOCIATION
Thirty-Eighth Annual Convention & Exhibition, May 2014
FORMULATION OF ROCK TYPE PREDICTION IN CORED WELL USING FUZZY
SUBTRACTIVE CLUSTERING ALGORITHM
Farizal Hakiki*
Aris Tristianto Wibowo*
ABSTRACT
Knowledge of reservoir rock porosity and
permeability are essential elements of competetent
reservoir simulation and management. Vertical and
horizontal heterogeneities are critical components of
reservoir characterization and are among the key
input parameters into three-dimensional geological
and flow simulation models. A previous study based
upon Keshtkar (2010) has been carried out to
predict permability and rocktype of a well in a gas
field in Iran using fuzzy C-means clustering method
(FCM). A critical review of that paper will be
presented in this paper according to the use of fuzzy
C-means clustering method. By using another
method of fuzzy clustering, fuzzy subtractive
clustering algorithm (FS), the authors attempt to
present a formula to predict carbonate rock type.
The result will be compared to the results of
applying fuzzy C-means clustering method. FS is
used when there is no clear idea how many
clusters there should be for a given data set.
This method, however, strictly depends on the value
of accepted ratio, rejected ratio, influence range and
squash. The fuzzy subtractive method, theoretically,
has the effect of reducing the number of
computations significantly, making it linearly
proportional to the number of input data instead of
being exponentially proportional to its dimension.
The result of rock type determination using this
method resulted in circle clustering. Hence, this
method would be suitable for heterogeneity
grouping rather than equation-based trend of
porosity-permeability grouping.
Keywords: Rock type, Fuzzy subtractive algorithm,
Carbonate rock
INTRODUCTION
In this paper, the authors emphasized the role of
artificial intelligence for reservoir characterization.
* Institute of Technology Bandung
Reservoir characterization plays a crucial role in
modern reservoir management. Pore distribution, a
reflection of permeability distribution and
environmental deposition, is the main point of
discussion of this paper. Porosity and permeability
values acquired form 579 cores of carbonate rock
were input to the clustering program using fuzzy
subtractive algorithm (Jang et al. 1997). Fuzzy
clustering is designed to identify natural groupings
of data wherein each data point belongs to a
cluster to some degree that is specified by a
membership grade. Each data point is specified by
member degrees of fuzzy sets hence each data point
has a possibility to be grouped into every cluster. It
means the data is not absolute and can belong to
more than one group. Data with most member
grades shows the highest possibility to be
substituted into a particular group. Fuzzy C-means
clustering was devised by Dunn in 1973 then further
developed by Bezdek in 1981. In 1994 it was
redeveloped with a new name, Fuzzy Subtractive
Clustering by Chiu.
The purpose of this study is to classify types of
carbonate rocks and critize the use of Fuzzy C-
Means for classifying rock type and permeability
prediction in a paper written by Keshtkar. Shortly, it
is called rock typing. Rock typing is a process of
subdividing a reservoir into groups; each has
specific characteristics geologically as well as
petrophysically (Archie, 1950 in Permadi et al.
2011). This study was evaluated to learn the
applicability of fuzzy clustering in grouping
petrophysical properties of rocks.
METHODOLOGY
According to Chiu, the initial clustering step with
Fuzzy Subtractive Clustering begins with
determining data that have higher potential than
surrounding data. For instance, there are n elements
© IPA, 2014 – 38th Annual Convention Proceedings, 2014