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Calibrating a Salt Water Intrusion Model with Time-Domain Electromagnetic Data

机译：用时域电磁数据校准盐水入侵模型

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摘要

Salt water intrusion models are commonly used to support groundwater resource management in coastal aquifers. Concentration data used for model calibration are often sparse and limited in spatial extent. With airborne and ground-based electromagnetic surveys, electrical resistivity models can be obtained to provide high-resolution three-dimensional models of subsurface resistivity variations that can be related to geology and salt concentrations on a regional scale. Several previous studies have calibrated salt water intrusion models with geophysical data, but are typically limited to the use of the inverted electrical resistivity models without considering the measured geophysical data directly. This induces a number of errors related to inconsistent scales between the geophysical and hydrologic models and the applied regularization constraints in the geophysical inversion. To overcome these errors, we perform a coupled hydrogeophysical inversion (CHI) in which we use a salt water intrusion model to interpret the geophysical data and guide the geophysical inversion. We refer to this methodology as a Coupled Hydrogeophysical Inversion-State (CHI-S), in which simulated salt concentrations are transformed to an electrical resistivity model, after which a geophysical forward response is calculated and compared with the measured geophysical data. This approach was applied for a field site in Santa Cruz County, California, where a time-domain electromagnetic (TDEM) dataset was collected. For this location, a simple two-dimensional cross-sectional salt water intrusion model was developed, for which we estimated five uniform aquifer properties, incorporating the porosity that was also part of the employed petrophysical relationship. In addition, one geophysical parameter was estimated. The six parameters could be resolved well by fitting more than 300 apparent resistivities that were comprised by the TDEM dataset. Except for three sounding locations, all the TDEM data could be fitted close to a root-mean-square error of 1. Possible explanations for the poor fit of these soundings are the assumption of spatial uniformity, fixed boundary conditions and the neglecting of 3D effects in the groundwater model and the TDEM forward responses.
机译：盐水入侵模型通常用于支持沿海含水层的地下水资源管理。用于模型校准的浓度数据通常稀疏且空间范围有限。通过机载和地面电磁勘测，可以获得电阻率模型，以提供高分辨率的地下电阻率变化的三维模型，该模型可能与区域规模的地质和盐分浓度有关。先前的一些研究已经利用地球物理数据校准了盐水入侵模型，但是通常仅限于使用反演电阻率模型，而不直接考虑所测量的地球物理数据。这引起了许多与地球物理模型和水文模型之间的比例尺不一致以及地球物理反演中应用的正则化约束有关的误差。为了克服这些错误，我们执行了耦合水文地球物理反演（CHI），其中我们使用盐水入侵模型来解释地球物理数据并指导地球物理反演。我们将此方法称为耦合水文地球物理反演状态（CHI-S），其中将模拟盐浓度转换为电阻率模型，然后计算地球物理正向响应并将其与测得的地球物理数据进行比较。该方法已应用于加利福尼亚州圣克鲁斯县的一个现场站点，该站点收集了时域电磁（TDEM）数据集。对于该位置，开发了一个简单的二维横截面盐水入侵模型，为此我们估计了五个均匀的含水层特性，并结合了孔隙度，孔隙度也是所采用的岩石物理关系的一部分。另外，估计了一个地球物理参数。通过拟合TDEM数据集所包含的300多个视电阻率，可以很好地解析这六个参数。除三个测深位置外，所有TDEM数据都可以拟合为均方根误差1。可能解释这些测深差的原因是假设了空间均匀性，固定边界条件以及对3D效果的忽略地下水模型和TDEM的正向响应。

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  • 来源
    《Ground water》 |2013年第3期|385-397|共13页
  • 作者

    Daan Herckenrath; Nick Odium; Vanessa Nenna; Rosemary Knight; Esben Auken; Peter Bauer-Gottwein;

  • 作者单位

    Department of Environmental Engineering, Technical University of Denmark, Miljovej, Bldg. 113, DK-2800, Kgs. Lyngby, Denmark;

    Department of Geophysics, Stanford University, Panama Mall 397, 8000 Stanford, CA;

    Department of Geophysics, Stanford University, Panama Mall 397, 8000 Stanford, CA;

    Department of Geophysics, Stanford University, Panama Mall 397, 8000 Stanford, CA;

    Department of Geoscience, Aarhus University, H0egh-Guldbergs Gade 2, 8000 Aarhus C, Denmark;

    Department of Environmental Engineering, Technical University of Denmark, Miljovej, Bldg. 113, DK-2800, Kgs. Lyngby, Denmark;

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