Hasegawa Laboratory, Institute of Industrial Science, The University of Tokyo

Estimation of turbulent states from limited measurements

Estimation of turbulent states from limited measurements

We are studying a practical system in a wide area environment by the method of “inverse analysis” that searches the cause from the result. Consider the problem of finding the source of air pollution. Sensors that measure atmospheric components are installed at various locations. It is easy to identify the source by arranging many sensors in a small area and observing the concentration gradient, but in the actual environment where complicated turbulence occurs in a wide area, the method is inefficient.
In order to accurately estimate the source from noisy data with fewer sensors, we are studying a method of maximum likelihood estimation.

We develop an inverse analysis algorithm based on statistical methods called variational method and Bayesian estimation, and obtain theoretical limits of estimation accuracy and optimal sensor placement. Example: Exploration of submarine resources 

On the seabed of Japan, submarine hydrothermal deposits have been found in places such as the Bayonace Knoll (Izu/Ogasawara area) and the Izena Sea Cave (Okinawa area), and groundwater heated by magma erupts in that area. It is considered to be an important resource in Japan because precious metals and rare metals are deposited and precipitated by rapidly cooling it with the surrounding seawater.
However, it is not easy to discover new hydrothermal deposits because the amount of sensor information that can be obtained is limited in the vast and deep sea that is isolated from humankind.
Therefore, we are studying a method of measuring and exploring while moving in the sea using an autonomous robot equipped with a sensor. (Collaboration with the University of Tokyo, Maki Lab)


In the future, we will introduce multiple exploration robots equipped with flow velocity, temperature, and concentration sensors, and use the observation data obtained at stations installed on the seabed to determine the three-dimensional distribution of seawater flow, seawater temperature, chemical concentration, etc. and inversely estimate its time evolution.
Furthermore, based on the results of the back analysis, the robot moves to a position where it is easier to observe the flow and substance concentration conditions. We aim to discover the source efficiently by repeating measurement and movement.
This method can be applied in various ways depending on the environment and fluid, such as using a drone with a sensor to fly if it is the atmosphere, or using a self-propelled robot if it is on the ground. In recent years, along with the development of IoT, various sensor information is becoming available in the environment. We hope to integrate this information and create new services and businesses that estimate environmental conditions.

                                                    



Reconstruction of a turbulent state based on randomly distributed sensors
Left) True flow state Right) Estimated flow state by integrating limited measurement data into simulation
It can be seen that the estimated state in the right figure converges to the true state with increasing the number of sensing points shown by yellow dots.
Reference: Suzuki & Hasegawa, J. Fluid Mech. (2017), Liu & Hasegawa (2020)


Scalar source estimation based on limited sensing information in turbulent environment
(Left) forward simulation, (Right) Adjoint simulation
Reference: Cerizza et al. (Flow Turb. Comb., 2016), Wang et al. (J. Fluid Mech., 2019)

Poster