Computer based fluid flow velocity estimation from concentrations of a reacting constituent for products and services

摘要

A method for estimating a fluid flow velocity may include receiving, with a processing device, a plurality of observations corresponding to a concentration of a constituent of a flowing fluid mixture, and computing a final estimate of an average velocity of the flowing fluid mixture based at least in part on the observations, wherein the constituent is undergoing a chemical reaction and the computing implements a reactive transport model.

主权项

1. A computer-implemented method for estimating a fluid flow velocity with a volumetric flow measurement device, comprising:
receiving, with a processing device, a plurality of observations from the volumetric flow measurement device corresponding to a concentration of a constituent of a flowing fluid mixture; and computing, with the processing device, a final estimate of an average velocity of the flowing fluid mixture based at least in part on the observations so as to provide an estimate of the volumetric flow rate without necessitating a dedicated flow measurement device, wherein the constituent is undergoing a chemical reaction and the computing implements a reactive transport model comprising the following partial differential equation:∂C⁡(x,t)∂t=-u⁡(t)⁢∂C⁡(x,t)∂x+K⁡(u⁡(t))⁢C⁡(x,t), wherein u is the velocity of the flowing fluid mixture, C(x,t) is the concentration of the reacting constituent at a location, x, and time, t, and the concentration decays according to the first order constant, K.