Estimating Hyperbolic Decline Curves Parameters
Abstract: The decline curve
analysis refers to the estimation of some measure of well performance. The
linearization of Arps hyperbolic decline curves leads to the estimation of
initial value of decline exponent.
This work proposes a graphical method to
estimate the initial value of decline exponent and a binomial expansion to
estimate the decline rate and the initial production value. The graphical
approach is used to determine the initial value of the decline exponent for binomial
expansion of hyperbolic Arps equations.
Experimental study from some small data sets shows that our proposed method is
capable in reducing the number of iterations needed in binomial linearization
of hyperbolic decline curves. The main contribution of this work is a
development of initial decline exponent estimation using graphical approach
where the traditional approach is based on trial and error. Bias in estimating
the initial values can produce large number of iterations in estimating the
decline exponent. The proposed method is successfully reduce the number of
iterations in estimating the decline exponent. Experimentally, this study indicates
the existence of lower bound of decline exponent b* for each iteration using
hyperbolic binomial expansion.
Author: Sri Wahyuningsih,
Sutawanir Darwis, Agus Yodi Gunawan, and Asep Kurnia Permadi
Kode Jurnal: jpmatematikagg080003
