利用机器学习辅助方法建立基于毕奥理论的动态方程模型

IF 1.6 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Fansheng Xiong, Bochen Wang, Jiawei Liu, Zhenwei Guo, Jianxin Liu
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引用次数: 0

摘要

描述地震波在流体饱和多孔介质中的传播特征可以很好地提高解释地震数据的精度,从而有利于更好地理解储层性质。一些重要的指标,包括波的频散和衰减,以及波场,被广泛用于解释储层,它们可以从岩石物理模型中获得。在现有的模型中,有些模型由于其复杂性,例如数值求解困难或成本高昂,其应用范围受到限制。有鉴于此,本研究提出了建立现有模型等效动态方程的方法。首先,根据 Biot 理论推导出等效模型的框架,同时将弹性系数设为未知因素。下一步是使用深度神经网络(DNN)预测这些系数,并在训练 DNN 之后建立未知系数的代用模型。训练数据由原始模型自然生成。与原始复杂模型和其他一些等效方法(如粘弹性模型)相比,方程形式简单,使该框架更容易进行波场模拟。数值示例表明,所建立的等效模型不仅能预测相似的频散和衰减,还能获得差异较小的波场。这也表明,仅根据频散和衰减建立等效模型可能就足够了,与模拟波场相比,生成这些数据的成本非常低。因此,建议的方法有望有效改善一些现有模型的计算难度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Biot's theory-based dynamic equations modeling using machine learning auxiliary approach
Characterizing seismic wave propagation in fluid-saturated porous media well enhances the precision of interpreting seismic data, bringing benefits to understanding reservoir properties better. Some important indicators, including wave dispersion and attenuation, along with wavefield, are widely used for interpreting the reservoir, and they can be obtained from a rock physics model. In existing models, some of them are limited in scope due to their complexity, for example, numerical solutions are difficult or costly. In view of this, this study proposes an approach of establishing equivalent dynamic equations of existing models. First, the framework of the equivalent model is derived based on Biot's theory, while the elastic coefficients are set as unknown factors. The next step is to use deep neural networks (DNNs) to predict these coefficients, and surrogate models of unknowns are established after training DNNs. The training data is naturally generated from the original model. The simplicity of the equations form, compared to the original complex model and some other equivalent manners such as viscoelastic model, enables the framework to perform wavefield simulation easier. Numerical examples show that the established equivalent model can not only predict similar dispersion and attenuation, but also obtain wavefields with small differences. This also indicates that it may be sufficient to establish an equivalent model only according to dispersion and attenuation, and the cost of generating such data is very small compared to simulating the wavefield. Therefore, the proposed approach is expected to effectively improve the computational difficulty of some existing models.
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来源期刊
Journal of Geophysics and Engineering
Journal of Geophysics and Engineering 工程技术-地球化学与地球物理
CiteScore
2.50
自引率
21.40%
发文量
87
审稿时长
4 months
期刊介绍: Journal of Geophysics and Engineering aims to promote research and developments in geophysics and related areas of engineering. It has a predominantly applied science and engineering focus, but solicits and accepts high-quality contributions in all earth-physics disciplines, including geodynamics, natural and controlled-source seismology, oil, gas and mineral exploration, petrophysics and reservoir geophysics. The journal covers those aspects of engineering that are closely related to geophysics, or on the targets and problems that geophysics addresses. Typically, this is engineering focused on the subsurface, particularly petroleum engineering, rock mechanics, geophysical software engineering, drilling technology, remote sensing, instrumentation and sensor design.
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