Simultaneous Inversion of Source Parameters and Attenuation Factor Using Genetic Algorithms

Simultaneous Inversion of Source Parameters and Attenuation Factor Using Genetic Algorithms
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使用遗传算法同时反演源参数和衰减因子

DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Maria Dolores Romacho
Maria Dolores Romacho
中科院分区：
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文献类型：
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作者：
Abigail Jiménez;José Manuel Pacheco García;Maria Dolores Romacho

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提出了一种利用遗传算法(GA)确定光谱参数Ω0、角频率f0和衰减因子Q的方法。通过二维阿克利函数为遗传算法选择了适当的策略。对于地震谱的模拟，使用了Boatwright震源模型和与频率无关的衰减因子。对几个目标函数进行了测试，发现最好的目标函数是观测光谱和模型光谱之间对数差的L2范数。为了检验该方法的准确性，对合成光谱进行了一些测试，包括带有噪声的光谱。对已经用其他光谱方法研究过的实际数据进行了分析，以比较结果。用Brune模型计算了西班牙南部格拉纳达13次地震的频谱参数及其震源参数：地震矩M0、震源半径r和应力降Δσ。地震矩为3.65E+17~9.98E+18达因厘米，半径为0.08~0.2公里，静应力降为0.32~1.73巴。衰减因子范围为53~726，平均值为303。所获得的结果与其他研究人员在研究该地区类似震级的事件时所获得的结果相似。
A method to determine the spectral parameters, spectral level Ω 0 , corner frequency f 0 , and attenuation factor Q , using a genetic algorithm (ga), is presented. An adequate strategy for the ga was chosen by means of the 2D Ackley function. For modeling the seismic spectrum, a Boatwright source model and an attenuation factor independent of the frequency were used. Several objective functions are tested, and the best was found to be the L2 norm of the log difference between the observed and modeled spectra. To check the accuracy of the method, some tests with synthetic spectra were made, including spectra with noise. Real data, which have been already studied with other spectral methods, were analyzed to compare the results. The spectral parameters of 13 earthquakes (Granada, southern Spain) were calculated, as well as its source parameters: the seismic moment M 0 , the source radius r , and the stress drop Δ σ , following Brune’s model. The seismic moments ranged from 3.65E + 17 to 9.98E + 18 dyne cm; the radii were between 0.08 and 0.2 km, and the static stress drops ranged from 0.32 to 1.73 bars. The attenuation factors ranged from 53 to 726, with an averaged value of 303. The results obtained are similar to those obtained by other researchers working with events of comparable magnitudes in the region.