Microlocal analysis of borehole seismic data
نویسندگان
چکیده
Borehole seismic data is obtained by receivers located in a well, with sources on the surface or another well. Using microlocal analysis, we study possible approximate reconstruction, via linearized, filtered backprojection, of an isotropic sound speed subsurface for three types sets. The may form dense array surface, be along line (walkaway geometry) borehole (crosswell). We show that array, reconstruction feasible, no artifacts absence caustics background ray geometry, and mild presence fold sense define. In contrast, walkaway crosswell sets both give rise to strong, nonremovable artifacts.
منابع مشابه
Microlocal Analysis of a Seismic Linearized Inverse Problem.
Microlocal analysis of a seismic linearized inverse problem. Abstract: The seismic inverse problem is to determine the wavespeed c(x) in the interior of a medium from measurements at the boundary. In this paper we analyze the linearized inverse problem in general acoustic media. The problem is to nd a left inverse of the linearized forward map F, or, equivalently, to nd the inverse of the norma...
متن کاملComparison of seismic and borehole data at the same scale
Well-log measurements and seismic measurements should be compared at the same scale. The conversion of highly detailed borehole data into less detailed seismic data has to be done in a specific way considering conclusions from scaling analysis. One has to be careful with the differentiation to convert borehole acoustic impedance into reflectivity. In addition coarsening has to occur in such a w...
متن کاملSeismic Waves in a Borehole - a Review
The propagation of seismic waves in an open borehole is reviewed. The principal wave types are the refracted P and S waves and the two guided waves pseudo-Rayleigh and Stoneley. The dispersion properties of the gUided waves are analyzed. An efficient method of computing synthetic microseismograms is described. The relative effects of the borehole. fluid and formation properties on the propagati...
متن کاملCased Borehole Effect on Downhole Seismic Measurements
Approximate and exact formulations are presented for the interaction of an incident wave with a cased borehole. In the approximate method, the borehole coupling theory is used to compute pressure in the fluid at a low frequency. The results are simple and explicit. They are useful in the study of cased borehole coupling and as well as borehole radiation. In the exact method, elastic potentials ...
متن کاملMicrolocal Analysis in Tomography
In this chapter, we introduce a range of tomography problems, including Xray imaging, limited data problems, electron microscopy and radar imaging. We are interested in the recovery of the singular features of the medium or object rather than exact inversion formulas. Toward this end, we show how microlocal analysis helps researchers understand the strengths and limitations inherent in the reco...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems and Imaging
سال: 2022
ISSN: ['1930-8345', '1930-8337']
DOI: https://doi.org/10.3934/ipi.2022026