Abstract: Methods and systems for extracting formation properties from formation logging data is disclosed. A method includes obtaining a deconvolution filter; and processing the formation logging data using the deconvolution filter to produce estimates of the formation properties. The estimates of the formation properties may be further processed with a diffusion filter, which may be an anisotropic diffusion filter. A system for extracting formation properties from formation logging data includes a central processing unit and a memory, wherein the memory stores a program having instructions for performing a method that includes designing a deconvolution filter; and processing the formation logging data using the deconvolution filter to produce estimates of the formation properties.

Abstract: An NMR tool includes RF antennae and a cylindrical permanent magnet to establish a static magnetic B0 field for performing the NMR measurement sequence. The magnetic field of the magnet is polarized across the diameter of the magnet. A ferrite material is located adjacent to the permanent magnet. The antennae are located near opposite ends of the ferrite material and are formed from corresponding coils that are wound around the ferrite material such that the magnetic moments of the antennae are parallel to the longitudinal axis of the magnet.

Abstract: A method for retrieving corrected individual measurements from a series of sequentially pairwise-combined measurements. The method includes providing an initial estimate for a first one of the corrected individual measurements, deriving temporary estimates for other ones of the corrected individual measurements by subtracting the initial estimate from the first sequentially pairwise-combined measurements to produce an estimate for a second one of the corrected individual measurements, and repeating the subtraction from each of the next sequentially pairwise-combined measurements until temporary estimates for each of the corrected individual measurements are obtained, and correcting errors in the temporary estimates to generate error-corrected estimates by filtering an alternating error component associated with the initial estimate.