Extracting a Mathematical Model from Oil Drilling Data using GMDH

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Abstract
This paper aims to extract a mathematical model from real-time data obtained during drilling operations in the oil and gas industry. The algorithm employed for model extraction is the Group Method for Data Handling (GMDH). The study utilizes data from tripping and drilling operations conducted on the Norwegian Continental Shelf, which offers vast drilling data. The data is generated by multiple sensors positioned along the wellbore, transmitting information to the surface through a wired drill pipe telemetry system. Despite the significant costs associated with generating and transmitting real-time drilling data through wired systems, much of it remains unused. This paper begins by demonstrating the data acquisition, collection, visualization, cleaning, statistical summary, and partitioning process. Subsequently, it introduces the GMDH algorithm for mathematical model extraction. Additionally, a software tool named GMDH-Oil is developed and presented. Finally, the paper includes experimentation involving the application of the tool to real-time data, along with the corresponding results obtained.

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