The geophysical inversion technique presented in this paper allows a reduction of the large-scale optimization problem arising in both image-difference wave equation tomography and wave-equation velocity analysis into a series of smaller optimization tasks than lend themselves to efficient solving using existing techniques such as limited-memory BFGS (LBFGS) quasi-Newton method, conjugate-gradients, etc.

The referenced paper (save the thumbnailed link on the left pane as a .pdf file) presents a mathematical model of a steady-state operation of a hydrocarbon pipeline, and describes commercial computer software developed for steady-state pipeline hydraulics simulation. A project is currently under way for porting this software into a web-enabled application, enhancing both its core functionality and interfaces. Project status can be tracked on the project website referenced below.

The original version of the software can be provided under an academic or commercial license upon request.

Pipeline Hydraulics Simulator Project Website

The referenced article presents a mathematical model of industry-standard pipeline cathodic protection systems that provides for reliable recovery of pipeline corrosion and insulation status from the readings of a few field test potential measurements.

Based on the presented mathematical model, an industrial software package for aiding the design of new and upgrade of existing hydrocarbon pipelines was developed in late 90s.

Save the link locally as a .pdf file.

Check out the following publication on a new proposed technique for Wave Equation Migration Velocity Analysis. An overview of non-proprietary mathematical methods of velocity analysis will be presented at the Applied and Industrial Mathematics Seminar (see the Education Section)

Adjoint wave-equation velocity analysis

Marmousi Velocity Model is a synthetic velocity model produced by the French Petroleum Institute and released to general public with the purpose of providing a complex velocity model that can be used for testing the efficiency of migration and velocity analysis algorithms. Here we present a Fortran programme that transfers hard and smooth Marmousi velocity models into a BP FreeDDS dataset.

Save the link in the left pane as a .tar.bz2 (UNIX tar bzip2 archive) file, decompress using `tar xfj` and compile using Intel Fortran compiler. See more info commented in the source files....display full article text

Marmousi to DDS