Decline Curve Library
Project description
Empirical analysis of production data requires implementation of several decline curve models spread over years and multiple SPE publications. Additionally, comprehensive analysis requires graphical analysis among multiple diagnostics plots and their respective plotting functions. While each model’s q(t) (rate) function may be simple, the N(t) (cumulative volume) may not be. For example, the hyperbolic model has three different forms (hyperbolic, harmonic, exponential), and this is complicated by potentially multiple segments, each of which must be continuous in the rate derivatives. Or, as in the case of the PowerLaw Exponential model, the N(t) function must be numerically evaluated.
This library defines a single interface to each of the implemented decline curve models. Each model has validation checks for parameter values and provides simpletouse methods for evaluating arrays of time to obtain the desired function output.
Additionally, we also define an interface to attach a GOR/CGR yield function to any primary phase model. We can then obtain the outputs for the secondary phase as easily as the primary phase.
Analytic functions are implemented wherever possible. When not possible, numerical evaluations are performed using scipy.integrate.fixed_quad. Given that most of the functions of interest that must be numerically evaluated are monotonic, this generally works well.
Primary Phase  Transient Hyperbolic, Modified Hyperbolic, PowerLaw Exponential, Stretched Exponential, Duong 
Secondary Phase  PowerLaw Yield 
Water Phase  PowerLaw Yield 
The following functions are exposed for use
Base Functions  rate(t), cum(t), D(t), beta(t), b(t), 
Transient Hyperbolic  transient_rate(t), transient_cum(t), transient_D(t), transient_beta(t), transient_b(t) 
Primary Phase  add_secondary, add_water 
Secondary Phase  gor(t), cgr(t) 
Water Phase  wor(t) 
Utility  bourdet, get_time, get_time_monthly_vol 
Getting Started
Install the library with pip:
pip install petboxdca
A default time array of evenlylogspaced values over 5 log cycles is provided as a convenience.
>>> from petbox import dca >>> t = dca.get_time() >>> mh = dca.MH(qi=1000.0, Di=0.8, bi=1.8, Dterm=0.08) >>> mh.rate(t) array([986.738, 982.789, 977.692, ..., 0.000])
We can also attach secondary phase and water phase models, and evaluate the rate just as easily.
>>> mh.add_secondary(dca.PLYield(c=1200.0, m0=0.0, m=0.6, t0=180.0, min=None, max=20_000.0)) >>> mh.secondary.rate(t) array([1184.086, 1179.346, 1173.231, ..., 0.000]) >>> mh.add_water(dca.PLYield(c=2.0, m0=0.0, m=0.1, t0=90.0, min=None, max=10.0)) >>> mh.water.rate(t) array([1.950, 1.935, 1.917, ..., 0.000])
Once instantiated, the same functions and process for attaching a secondary phase work for any model.
>>> thm = dca.THM(qi=1000.0, Di=0.8, bi=2.0, bf=0.8, telf=30.0, bterm=0.03, tterm=10.0) >>> thm.rate(t) array([968.681, 959.741, 948.451, ..., 0.000]) >>> thm.add_secondary(dca.PLYield(c=1200.0, m0=0.0, m=0.6, t0=180.0, min=None, max=20_000.0)) >>> thm.secondary.rate(t) array([1162.417, 1151.690, 1138.141, ..., 0.000]) >>> ple = dca.PLE(qi=1000.0, Di=0.1, Dinf=0.00001, n=0.5) >>> ple.rate(t) array([904.828, 892.092, 877.768, ..., 0.000]) >>> ple.add_secondary(dca.PLYield(c=1200.0, m0=0.0, m=0.6, t0=180.0, min=None, max=20_000.0)) >>> ple.secondary.rate(t) array([1085.794, 1070.510, 1053.322, ..., 0.000])
Applying the above, we can easily evaluate each model against a data set.
>>> import matplotlib.pyplot as plt >>> fig = plt.figure() >>> ax1 = fig.add_subplot(121) >>> ax2 = fig.add_subplot(122) >>> ax1.plot(t_data, rate_data, 'o') >>> ax2.plot(t_data, cum_data, 'o') >>> ax1.plot(t, thm.rate(t)) >>> ax2.plot(t, thm.cum(t) * cum_data[1] / thm.cum(t_data[1])) # normalization >>> ax1.plot(t, ple.rate(t)) >>> ax2.plot(t, ple.cum(t) * cum_data[1] / ple.cum(t_data[1])) # normalization >>> ... >>> plt.show()
See the API documentation for a complete listing, detailed use examples, and model comparison.
Development
petboxdca is maintained by David S. Fulford (@dsfulf). Please post an issue or pull request in this repo for any problems or suggestions!
Version History
1.0.6
 New functions
 Added WaterPhase class
 Added WaterPhase.wor method
 Added PrimaryPhase.add_water method
 Other Changes
 A yield model may inherit both SecondaryPhase and WaterPhase, with the respective methods removed upon attachment to a PrimaryPhase.
1.0.5
 New functions
 Bourdet algorithm
 Other Changes
 Update docstrings
 Add bourdet data derivatives to detailed use examples
1.0.4
 Fix typos in docs
1.0.3
 Add documentation
 Genericize numerical integration
 Various refactoring
0.0.1  1.0.2
 Internal releases
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