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Dual fractal model of carbonate acidizing wormholes

Zhang He-wen,Zou Hong-lan,Liu Shuang-shuang,Yan Xue-mei,Liang Chong   

  1. Research Institute of Petroleum Exploration & Development,Beijing 100083,China
  • Received:2016-12-02 Revised:2017-01-18 Online:2017-03-10 Published:2017-03-10

Abstract:

Matrix acidizing is one of the most popular and cost-efficient method for carbonate stimulation.The main characteristic of carbonate acidizing is forming wormholes.Until now,there is no effective model to describe these wormholes quantitatively,because of so many affecting parameters,wormhole types and their growing randomness.There are two main parts to calculate carbonate acidizing wormholes parameters,distribution and its length of single wormhole and competition relationship between several wormholes.This is an important prerequisite to optimize the acidizing treatment design and develop such carbonate reservoir cost-effectively.To this end,several sets of core flow experiments were completed,and the actual shape of wormhole were reorganized using three dimensional computed tomography scan facility.By analyzing these wormholes,fractal characteristic was proved to be both of linear and radial flow status.Their fractal dimensions,which are key parameter for describing fractal geometry,were given then.Based on previous conclusions,fractal model of dingle wormhole equivalent length was established,which make it possible to describe wormhole considering both length and plane distribution.Secondly,in order to clarify the relationship between several different wormholes,competition mathematic model of multiple wormholes was given.After solution and simulation analysis of this model,its fractal characteristic and fractal dimension were also obtained.On this basis,dual fractal mathematic model of wormholes was finally established,which make it possible to describe three-dimensional shape of wormhole quantitatively and optimize a more accurate acidizing treatment design.

Key words: Oil/gas production engineering, Acidizing;Carbonate, Wormhole, Fractal

CLC Number: 

  • TE357

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