We propose a 2D/3D forward modelling and inversion package to invert direct current (DC)-resistivity, time-domain induced polarization (TDIP), and frequency-domain induced polarization (FDIP) data. Each cell used for the discretization of the 2D/3D problems is characterized by a DC-resistivity value and a chargeability or complex conductivity for TDIP/FDIP problems, respectively. The governing ...

A physically based inverse method is developed using hybrid formulation and coordinate transform to simultaneously estimate hydraulic conductivity tensors, steady-state flow field, and boundary conditions for a confined aquifer under ambient flow or pumping condition. Unlike existing indirect inversion techniques, the physically based method does not require forward simulations to assess model-...

In this work, we extend the finite-difference contrast source inversion (FDCSI) method to the frequency-domain elastic wave equations, where the parameters describing the subsurface structure are simultaneously reconstructed. The FD-CSI method is an iterative nonlinear inversion method, which exhibits several strengths. First, the finite-difference operator only relies on the background media a...

a rare case of non-puerperal uterine inversion caused by a large fundal leiomyoma in a 39-year nulliparous, infertile woman resulting in intractable hemorrhage was reported after a myomectomy. attempts to reduce the inversion vaginally by transecting the anterior and posterior cervix were unsuccessful and a laparotomy was performed. the inversion was not successfully corrected and hysterectomy ...

In this paper, a new algorithm based on Set Inversion techniques and Modal Interval Analysis is presented. This algorithm allows solving problems involving quantified constraints over the reals through the characterization of their solution sets. The presented methodology can be applied over a wide range of problems involving uncertain (non)linear systems. Finally, an advanced application is so...

The Krĕın-Langer integral representation of a matrix-valued generalized Nevanlinna function arises in problems of spectral theory and interpolation. A version of this formula which is suitable for such problems, and a corresponding Stieltjes inversion formula, are derived. Some classes of generalized Nevanlinna functions which are defined in terms of behavior at infinity are characterized in te...

Missing trace reconstruction is an ongoing challenge in seismic processing due to incomplete acquisition schemes and irregular grids. Noise is also a concern because it is naturally present in acquired seismic data through several mechanisms such as natural noise and equipment noise. Both problems need to be adequately addressed, especially because they negatively affect several important proce...

Some new, efficient, and numerically stable algorithms for the recursive solution of matrix problems arising in optimal beamforming and direction finding are described and analyzed. The matrix problems considered are systems of linear equations and spectral decomposition. While recursive solution procedures based on the matrix inversion lemma may be unstable, ours are stable. Furthermore, these...