The application of fractal dimension in micro-seismic interpretation
Jin Qi-hu, Yi Song, He Lin, Ziaojin Zhou, Zhengxin Yao, Gang Xu
Abstract
Jin Qi-hu, Yi Song, He Lin, Ziaojin Zhou, Zhengxin Yao, Gang Xu
Abstract
Hydraulic fracturing is an effective method for reservoir stimulation, micro-seismic monitoring is an effective method of hydraulic fracturing, it can monitor the fracture in real time. Generally, the parameters such as fracture length, height and width monitored by micro-seismic are used to quantify the effect of artificial fracture network(AFN), but, it is difficult to quantify the morphological characteristics of fracture network. Based on the fractal dimension of fractal geometry theory, a quantitative evaluation method of events Distribution Shape Index (DSI) is proposed in this paper. It can directly describe the fracture morphology, and be used in the analysis of fracturing effect, reservoir stress and production. Through theoretical simulation and practical application, the author considers that this method can effectively depict fracture morphology, evaluate fracturing effect and analyze reservoir stress, which opens up a new way for oil and gas development analysis.
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Hydraulic fracturing is an effective method for reservoir stimulation, micro-seismic monitoring is an effective method of hydraulic fracturing, it can monitor the fracture in real time. Generally, the parameters such as fracture length, height and width monitored by micro-seismic are used to quantify the effect of artificial fracture network(AFN), but, it is difficult to quantify the morphological characteristics of fracture network. Based on the fractal dimension of fractal geometry theory, a quantitative evaluation method of events Distribution Shape Index (DSI) is proposed in this paper. It can directly describe the fracture morphology, and be used in the analysis of fracturing effect, reservoir stress and production. Through theoretical simulation and practical application, the author considers that this method can effectively depict fracture morphology, evaluate fracturing effect and analyze reservoir stress, which opens up a new way for oil and gas development analysis.
Key concepts: Fractal dimension, Fractal, Interpretation (philosophy), Dimension (graph theory), Computer science, Geology, Mathematics, Mathematical analysis