Forecasting multiple-well flow rates using a novel space-time modeling approach

Abstract A different approach based on existing spatiotemporal models is developed in this research for forecasting the production flow rates of a group of adjacent wells in a reservoir. Unlike the previous single-well analysis techniques, this new methodology tries to forecast the flow rates of a number of producing wells located in a certain neighborhood. It also takes into account the variety of flow rate patterns that may take place during the production period of the wells. Regarding the time-series nature of flow rate data and the spatial relationships between multiple wells in a proximity, the Space-Time Auto-Regressive Moving-Average technique, abbreviated as STARMA, is borrowed to employ in this research to capture the spatial inter-relationships of the wells and model the flow rate data of multiple wells simultaneously. Partitioning the field into different groups of adjacent wells based on the similarity of flow rate patterns is also recommended using the spatial clustering algorithms as an enhancing part of the proposed methodology. The capability of the proposed approach in forecasting the flow rates of multiple wells is verified using the real data of a case study including 38 active oil producing wells located in a reservoir in South West Iran. The forecasts generated by the proposed method are finally compared with the predictions obtained by the current ARIMA techniques. Based on findings of this research, the proposed space time modeling of multiple well flow rates helps in estimating the more accurate forecasts, when the single well analysis techniques fail in predicting the real trend of future flow rates.

[1]  EunSu Lee,et al.  Forecasting Oil Production in North Dakota Using the Seasonal Autoregressive Integrated Moving Average (S-ARIMA) , 2015 .

[2]  Stuart Jay Deutsch,et al.  Variance of the Sample Space-time Autocorrelation Function , 1981 .

[3]  Leonid Sheremetov,et al.  Forecasting Oil Production Time Series with a Population-Based Simulated Annealing Method , 2015 .

[4]  Hans-Peter Kriegel,et al.  A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise , 1996, KDD.

[5]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[6]  Moghadam Mohammad Reza A COMPARISON OF DATA ANALYSIS TECHNIQUES FOR OIL PRODUCTION PREDICTION: THE CASE STUDY OF AHVAZ FIELD , 2009 .

[7]  Phaedon C. Kyriakidis,et al.  Geostatistical Space–Time Models: A Review , 1999 .

[8]  Eugene Morgan,et al.  Combining Decline-Curve Analysis and Geostatistics To Forecast Gas Production in the Marcellus Shale , 2019, SPE Reservoir Evaluation & Engineering.

[9]  Ying Wah Teh,et al.  Time-series clustering - A decade review , 2015, Inf. Syst..

[10]  Roger Bivand,et al.  Comparing Implementations of Estimation Methods for Spatial Econometrics , 2015 .

[11]  M. Shcherbakov,et al.  A Survey of Forecast Error Measures , 2013 .

[12]  Babatunde J. Ayeni,et al.  Crude oil reserve estimation: An application of the autoregressive integrated moving average (ARIMA) model , 1992 .

[13]  George Athanasopoulos,et al.  Forecasting: principles and practice , 2013 .

[14]  Zuo Zhang,et al.  Urban traffic network modeling and short-term traffic flow forecasting based on GSTARIMA model , 2010, 13th International IEEE Conference on Intelligent Transportation Systems.

[15]  Fotios Petropoulos,et al.  forecast: Forecasting functions for time series and linear models , 2018 .

[16]  Ari Karppinen,et al.  Integrated Systems for Forecasting Urban Meteorology , Air Pollution and Population Exposure FUMAPEX , 2006 .

[17]  L. Madden,et al.  Analysis of epidemics using spatio-temporal autocorrelation , 1988 .

[18]  Ahmed H. El-Banbi,et al.  Analysis of Commingled Tight Gas Reservoirs , 1996 .

[19]  G. Box,et al.  Distribution of Residual Autocorrelations in Autoregressive-Integrated Moving Average Time Series Models , 1970 .

[20]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[21]  Daniel Lemire,et al.  Faster retrieval with a two-pass dynamic-time-warping lower bound , 2008, Pattern Recognit..

[22]  E. Pebesma,et al.  Classes and Methods for Spatial Data , 2015 .

[23]  Igor N. Aizenberg,et al.  Multilayer Neural Network with Multi-Valued Neurons in time series forecasting of oil production , 2014, Neurocomputing.

[24]  Volkan Ş. Ediger,et al.  Forecasting production of fossil fuel sources in Turkey using a comparative regression and ARIMA model , 2006 .

[25]  Dimitris Kotzinos,et al.  Bivariate Traffic Relations: a Space-Time Modeling Approach ∗ , 2004 .

[26]  Stuart Jay Deutsch,et al.  Space-Time ARMA Modeling With Contemporaneously Correlated Innovations , 1981 .

[27]  Roger Bivand,et al.  Computing the Jacobian in Gaussian Spatial Autoregressive Models: An Illustrated Comparison of Available Methods , 2013 .

[28]  Yi Zhang,et al.  Short-term traffic flow forecasting of urban network based on dynamic STARIMA model , 2009, 2009 12th International IEEE Conference on Intelligent Transportation Systems.

[29]  Richard Simon,et al.  Bias in error estimation when using cross-validation for model selection , 2006, BMC Bioinformatics.

[30]  V. Ediger,et al.  ARIMA forecasting of primary energy demand by fuel in Turkey , 2007 .

[31]  Rob J Hyndman,et al.  Automatic Time Series Forecasting: The forecast Package for R , 2008 .

[32]  Samuel E. Bodily,et al.  A test of space-time arma modelling and forecasting of hotel data , 1990 .

[33]  Peter J. Rousseeuw,et al.  Clustering by means of medoids , 1987 .

[34]  P. Pfeifer,et al.  Identification and Interpretation of First Order Space-Time ARMA Models , 1980 .

[35]  Eamonn J. Keogh,et al.  Experimental comparison of representation methods and distance measures for time series data , 2010, Data Mining and Knowledge Discovery.

[36]  Madan M. Gupta,et al.  An innovative neural forecast of cumulative oil production from a petroleum reservoir employing higher-order neural networks (HONNs) , 2013 .

[37]  Hans-Peter Kriegel,et al.  OPTICS: ordering points to identify the clustering structure , 1999, SIGMOD '99.

[38]  Yiannis Kamarianakis,et al.  Space-time modeling of traffic flow , 2002, Comput. Geosci..

[39]  Thomas C. Halsey Computational sciences in the upstream oil and gas industry , 2016, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[40]  Leonid Sheremetov,et al.  Time Series Forecasting: Applications to the Upstream Oil and Gas Supply Chain , 2013, MIM.

[41]  Roger Bivand,et al.  Bindings for the Geospatial Data Abstraction Library , 2015 .

[42]  Rizwan Mushtaq,et al.  Augmented Dickey Fuller Test , 2011 .

[43]  J. J. Arps Analysis of Decline Curves , 1945 .

[44]  A. Tarantola Inversion of seismic reflection data in the acoustic approximation , 1984 .

[45]  Friedrich Leisch,et al.  A toolbox for K-centroids cluster analysis , 2006 .

[46]  Hinrich Schütze,et al.  Book Reviews: Foundations of Statistical Natural Language Processing , 1999, CL.

[47]  Sandeep Mudigonda,et al.  Spatio-temporal Modeling of Yellow Taxi Demands in New York City Using Generalized STAR Models , 2017 .

[48]  R. Bennett,et al.  The Representation and Identification of Spatio-Temporal Systems: An Example of Population Diffusion in North-West England , 1975 .

[49]  Clive W. J. Granger,et al.  Aggregation of space-time processes , 2004 .