An Accurate Mathematical Approach for Calculating Capillary Pressure in Drainage and Imbibition from Centrifuge Data

Document Type : Article


Department of Petroleum Engineering, Research Institute of Petroleum Industry, Tehran, Iran


The conversion of centrifuge data into capillary pressure curves is crucial for rock capillary pressure measurement in various applications. This process involves converting measured fluid productions into local saturation values, and the accuracy and efficiency of this procedure are essential. This paper addresses the challenge of achieving accuracy without sacrificing computational efficiency by introducing a new method based on the Reproducing Kernel Hilbert Space (RKHS) technique. This approach enables the conversion of capillary pressure versus average saturation data into capillary pressure versus local (outlet) saturation. The RKHS method is applied to both drainage and imbibition centrifuge data, and its efficiency and accuracy are evaluated using both artificially generated and experimental datasets. The results obtained with the RKHS method are compared and validated against other existing methods.


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