Patent ID: 7130758
Filing Date: 2006-10-31
Classification: G06F

Abstract:
1. A method for obtaining closed form expressions for subsurface temperature depth distribution along with its error bounds, the method comprising: defining at least two different types of boundary conditions involving at least three different heat sources; selecting computer inputs from said defined boundary conditions; using said inputs in a computerized stochastic heat conduction equation incorporating random thermal conductivity to obtain a mean and variance in temperature fields for said input, said equation being: where T is the temperature (° C.), A(z) is the radiogenic heat source (μW/m K(z)={overscore (K)}+K′(z) is the thermal conductivity (W/m° C.) which is expressed as a sum of a deterministic component {overscore (K)} and a random component K′(z) is the random component with mean zero and a Gaussian colored noise correlation structure represented by where σ ρ is the correlation decay parameter m outputting said mean and variance in temperature fields.