In February 2007, the U.S. Department of Energy, BP Exploration (Alaska), and the U.S. Geological Survey, collected the first open-hole formation pressure response data in a gas hydrate reservoir (the “Mount Elbert” stratigraphic test well) using Schlumberger’s Modular Dynamics Formation Tester (MDT) wireline tool. As part of an ongoing effort to compare the world’s leading gas hydrate reservoi...

A new analytical solution for residual drawdown during the recovery period after a constant rate pumping test is described. A comparison between the proposed solution, existing solutions and experimental data from field observation are presented. The proposed analytical solution is in perfect agreement with the experimental data for α = 0.01, in contrast to the CooperJacob solution. A new analy...

We study drawdowns and rallies of Brownian motion. A rally is defined as the difference of the present value of the Brownian motion and its historical minimum, while the drawdown is defined as the difference of the historical maximum and its present value. This paper determines the probability that a drawdown of a units precedes a rally of b units. We apply this result to examine stock market c...

Sand production is a universally encountered issue during the exploration of unconsolidated sandstone reservoirs particularly during production. The production of sand particles with the reservoir fluids depends on the stress around a wellbore and the properties of the reservoir rocks and fluids. Therefore, it is crucial to predict under what production conditions sanding will occur and when sa...

Leaky faults provide important flow paths for fluids to move underground. It is often necessary to characterize such faults in engineering projects such as deep well injection of waste liquids, underground natural gas storage, and radioactive waste isolation. To provide this characterization, analytical solutions are presented for groundwater flow through saturated aquifer-fault-aquifer systems...

We consider the portfolio choice problem for an investor interested in long-run growth optimality while facing drawdown constraints in a general continuous semimartingale model. The paper introduces the numéraire property through the notion of expected relative return and shows that drawdown-constrained strategies with the numéraire property exist and are unique, but may depend on the financial...

A new distance-drawdown method for aquifers with anisotropy on the horizontal plane is presented. The method uses scalar transformation to convert to an equivalent, isotropic medium, thus permitting application of the Cooper-Jacob Method. The method is applicable to cases where at least one ellipse of equal drawdown can be delineated but can also be applied where no ellipse can be discerned fro...

The estimates of transmissivity (T) and storativity (S) obtained from analysis of observation-well responses to constant-rate pumping tests are affected by the correlation between the specified (measured) flow rate and the subsequent pressure response, with both the magnitude and rate of change of the pressure response being a function of the diffusivity (D) – the ratio of T to S. Traditional w...