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pyGIMLi: An open-source library for modelling and inversion in geophysics

机译：pyGIMLi：一个用于地球物理学建模和反演的开源库

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摘要

Many tasks in applied geosciences cannot be solved by single measurements, but require the integration of geophysical, geotechnical and hydrological methods. Numerical simulation techniques are essential both for planning and interpretation, as well as for the process understanding of modern geophysical methods. These trends encourage open, simple, and modern software architectures aiming at a uniform interface for interdisciplinary and flexible modelling and inversion approaches. We present pyGIMLi (Python Library for Inversion and Modelling in Geophysics), an open-source framework that provides tools for modelling and inversion of various geophysical but also hydrological methods. The modelling component supplies discretization management and the numerical basis for finite-element and finite volume solvers in 1D, 2D and 3D on arbitrarily structured meshes. The generalized inversion framework solves the minimization problem with a Gauss-Newton algorithm for any physical forward operator and provides opportunities for uncertainty and resolution analyses. More general requirements, such as flexible regularization strategies, time-lapse processing and different sorts of coupling individual methods are provided independently of the actual methods used. The usage of pyGIMLi is first demonstrated by solving the steady-state heat equation, followed by a demonstration of more complex capabilities for the combination of different geophysical data sets. A fully coupled hydrogeophysical inversion of electrical resistivity tomography (ERT) data of a simulated tracer experiment is presented that allows to directly reconstruct the underlying hydraulic conductivity distribution of the aquifer. Another example demonstrates the improvement of jointly inverting ERT and ultrasonic data with respect to saturation by a new approach that incorporates petrophysical relations in the inversion. Potential applications of the presented framework are manifold and include time-lapse, constrained, joint, and coupled inversions of various geophysical and hydrological data sets.
机译：应用地球科学中的许多任务无法通过一次测量来解决，而是需要整合地球物理，岩土和水文方法。数值模拟技术对于计划和解释以及现代地球物理方法的过程理解都是必不可少的。这些趋势鼓励开放，简单和现代的软件体系结构，旨在为跨学科的，灵活的建模和反演方法提供统一的界面。我们介绍了pyGIMLi（用于地球物理学反演和建模的Python库），这是一个开放源代码框架，提供了用于对各种地球物理方法以及水文方法进行建模和反演的工具。建模组件为任意结构的网格上的1D，2D和3D中的有限元和有限体积求解器提供离散化管理和数值基础。通用反演框架使用高斯-牛顿算法解决了任何物理正向算子的最小化问题，并为不确定性和分辨率分析提供了机会。独立于所使用的实际方法，提供了更通用的要求，例如灵活的正则化策略，延时处理和不同类型的耦合单个方法。首先通过求解稳态热方程式来演示pyGIMLi的用法，然后演示用于组合不同地球物理数据集的更复杂功能。提出了模拟示踪剂实验的电阻层析成像（ERT）数据的完全耦合的水文地球物理反演，该数据可以直接重建地下含水层的水力传导率分布。另一个例子表明，通过将岩石物理关系纳入反演的新方法，就饱和度而言，将ERT和超声数据联合反演得到了改善。所提出框架的潜在应用是多种多样的，包括各种地球物理和水文数据集的时移，约束，联合和耦合反演。

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