• Corpus ID: 246442173

Accelerated 3D Electrical Resistivity Tomography with a Scalable Jacobian-free Approach

  title={Accelerated 3D Electrical Resistivity Tomography with a Scalable Jacobian-free Approach},
  author={Jonghyun Lee},
A Jacobian-free inversion method is presented to accelerate Electrical Resistivity Tomography (ERT) for shallow aquifer characterization. The ERT problem typically implements the adjoint state method to efficiently compute Jacobian during the inversion. However, the adjoint state method needs intrusive forward model code changes and may not be computationally scalable with many observations especially when one performs 3D ERT surveys with dense multi-electrode arrays. Here the Principal… 



Improved hydrogeophysical characterization and monitoring through parallel modeling and inversion of time-domain resistivity andinduced-polarization data

A parallel distributed-memory forward and inverse modeling algorithm for analyzing resistivity and time-domain induced polar-ization (IP) data and its primary components include distributed computation of the pole solutions in parallel computing environments.

Scalable subsurface inverse modeling of huge data sets with an application to tracer concentration breakthrough data from magnetic resonance imaging

The Principal Component Geostatistical Approach (PCGA) is extended to handle a large number of measurements by constructing a fast preconditioner whose computational cost scales linearly with the data size, showing the efficiency and effectiveness of the proposed method.

Large‐scale hydraulic tomography and joint inversion of head and tracer data using the Principal Component Geostatistical Approach (PCGA)

The stochastic geostatistical inversion approach is widely used in subsurface inverse problems to estimate unknown parameter fields and corresponding uncertainty from noisy observations. However, the

Quasi‐Linear Geostatistical Theory for Inversing

A quasi-linear theory is presented for the geostatistical solution to the inverse problem. The archetypal problem is to estimate the log transmissivity function from observations of head and log

Improved Characterization of DNAPL Source Zones via Sequential Hydrogeophysical Inversion of Hydraulic‐Head, Self‐Potential and Partitioning Tracer Data

High‐resolution characterization of hydraulic properties and dense nonaqueous phase liquid (DNAPL) contaminant source is crucial to develop efficient remediation strategies. However, DNAPL

PBBFMM3D: A parallel black-box algorithm for kernel matrix-vector multiplication

Large-Scale Inverse Problems and Quantification of Uncertainty

1 Introduction 1.1 Introduction 1.2 Statistical Methods 1.3 Approximation Methods 1.4 Kalman Filtering 1.5 Optimization 2 A Primer of Frequentist and Bayesian Inference in Inverse Problems 2.1