A generalised solution for step-drawdown tests including flow dimension and elasticity

Step‐drawdown tests and the Forchheimer equation

[1] Step‐drawdown tests (SDTs) typically involve pumping a well at a constant rate until a quasi‐steady state (QSS) is observed in the drawdown response. The well is then pumped at a higher constant rate until a new QSS is achieved. The process is repeated for additional flow rates. Analysis involves plotting the QSS drawdowns against their corresponding abstraction rates and fitting a nonlinea...

The Temporal Dimension of Drawdown

Multi-period measures of risk account for the path that the value of an investment portfolio takes. The most widely used such path-dependent indicator of risk is drawdown, which is a measure of decline from a historical peak in cumulative returns. In the context of probabilistic risk measures, the focus has been on one particular dimension of drawdown, its magnitude, and not on its temporal dim...

Optimal power flow solution including wind power

In this paper, hybrid particle swarm optimization and gravitational search algorithm is proposed to find the optimal solution for the optimal power flow problem including three wind farms connected to the isolated Adrar Algerian power system. In order to get the cost model, the economic problem is converted into a single objective function considering the fuel cost and cost of wind generation b...

Generalised Score and Wald Tests

OPTIMUM GENERALIZED COMPOUND LINEAR PLAN FOR MULTIPLE-STEP STEP-STRESS ACCELERATED LIFE TESTS

In this paper, we consider an  i.e., multiple step-stress accelerated life testing (ALT) experiment with unequal duration of time . It is assumed that the time to failure of a product follows Rayleigh distribution with a log-linear relationship between stress and lifetime and also we assume a generalized Khamis-Higgins model for the effect of changing stress levels. Taking into account that the...