Fracture network characterization through fractal dimension and Gutenberg–Richter parameter: Decatur open-source dataset as a study case

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Claudia Pavez-Orrego, Denisse Pastén, Rodrigo Estay
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引用次数: 0

Abstract

The fractal formalisms are well known for providing new understandings regarding the geometrical, spatial, and temporal behaviour of seismicity. Particularly, the fractal dimensions give information about the seismic events self-organization and self-similarity. On the other hand, the Gutenberg–Richter value, known as the b-value, has shown through the years to give handy information regarding the statistical distribution of earthquakes, on-site physical parameters, and geomechanical inputs. The Gutenberg–Richter value (b) and the capacity and correlation fractal dimensions, (D0 and D2), of the spatial distribution of earthquake hypocentres interact mathematically for micro- and macro-events. From this interaction, it is possible to obtain new insights into the fracture network development and the microseismicity source characterization in terms of single fractures, fault planes, or densely fractured volumetric spaces. Here we show this interaction for the open-source Decatur CO2 project seismicity catalogue, comparing it with the results obtained for a natural earthquake catalogue of Illinois, in the United States. The fractal dimension D0 is calculated using two different methodologies: box-counting and correlation integral partitioning. This last method is also used to calculate D2. The results presented in this study allow us to describe how the fracture network geometry influences the earthquake complexity. Together with the calculation of the b-value, we present clear indications which show that seismicity recorded in the Illinois tectonic environment partially follows the Aki relationship D0 ∼ 2b, which is not the case for induced events. In addition, the induced earthquake dataset shows that D2 > D0, an anomalous behaviour in terms of the fractal formalisms. All these facts might be used to establish spatial fracture network control techniques and seismicity-type distinctions in CO2 injection sites located in highly active tectonic areas, respectively.

Abstract Image

通过分形维度和古腾堡-里克特参数确定断裂网络特征:以迪凯特开源数据集为研究案例
众所周知,分形形式对地震的几何、空间和时间行为提供了新的理解。特别是,分形维数提供了有关地震事件自组织和自相似性的信息。另一方面,古腾堡-里克特值(又称 b 值)多年来已显示出有关地震统计分布、现场物理参数和地质力学输入的有用信息。古腾堡-里克特值(b)与地震次中心空间分布的容量和相关分形维数(D0 和 D2)在微观和宏观事件上存在数学上的相互作用。通过这种交互作用,我们可以从单一断裂、断层面或密集断裂的体积空间方面,对断裂网络的发展和微震源特征有新的认识。在此,我们展示了开源迪凯特二氧化碳项目地震目录中的这种相互作用,并将其与美国伊利诺伊州天然地震目录的结果进行了比较。分形维度 D0 采用两种不同的方法计算:盒式计数法和相关积分分割法。最后一种方法也用于计算 D2。这项研究的结果使我们能够描述断裂网络的几何形状是如何影响地震复杂性的。连同 b 值的计算,我们提出了明确的迹象,表明伊利诺斯构造环境中记录的地震活动部分遵循阿基关系 D0 ∼ 2b,而诱发事件并非如此。此外,诱发地震数据集显示 D2 > D0,这在分形形式上是一种异常行为。所有这些事实都可用于建立空间断裂网络控制技术,以及在位于高度活跃构造地区的二氧化碳注入地点进行地震类型区分。
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来源期刊
Geophysical Prospecting
Geophysical Prospecting 地学-地球化学与地球物理
CiteScore
4.90
自引率
11.50%
发文量
118
审稿时长
4.5 months
期刊介绍: Geophysical Prospecting publishes the best in primary research on the science of geophysics as it applies to the exploration, evaluation and extraction of earth resources. Drawing heavily on contributions from researchers in the oil and mineral exploration industries, the journal has a very practical slant. Although the journal provides a valuable forum for communication among workers in these fields, it is also ideally suited to researchers in academic geophysics.
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