### ASA 129th Meeting - Washington, DC - 1995 May 30 .. Jun 06

## 1pAO1. What acoustic tomography can tell us about the state of the ocean:
Theoretical considerations.

**Robert N. Miller
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*College of Oceanic and Atmos. Sci., Oregon State Univ., Corvallis, OR
97330
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Acoustic tomographic data consist of line integrals of sound speed along
ray paths. The community has little experience with line integral data, and
most of the methods for mapping oceanic properties and for data assimilation
(i.e., combining observed data with results from dynamical models) have been
designed and tested with point measurements in mind. In this work, the tools of
estimation theory were used to investigate the potential for reconstructing
time series of oceanic pressure and density fields by assimilation of line
integral data into a simple ocean model. Under ideal conditions, with
noise-free data and ocean dynamics given exactly by a simple combination of
linear waves, time series of integral quantities along the edges and diagonals
of a square array are sufficient to determine time series of amplitudes of a
large collection of waves, most of whose wavelengths are much shorter than the
length of the edge of the array. Simulation experiments were performed to
investigate the consequences of imperfect, possibly nonlinear dynamical ocean
models and noisy data.