Use of inverse and ensemble modelling techniques for improved volcanic ash forecasts

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Use of inverse and ensemble modelling techniques for improved volcanic ash forecasts Meelis Zidikheri, Richard Dare, Rodney Potts, and Chris Lucas Australian Bureau of Meteorology

Introduction Aim is to highlight ongoing research at the Australian Bureau of Meteorology focussed on improving volcanic ash forecasts by quantifying uncertainties in meteorological fields using ensembles improving the ash source term and quantifying uncertainties thereof using satellite observations Will use the 13 February 2014 eruption of Kelut in Java, Indonesia, as a case study

13 February 2014 Kelut eruption Eruption commenced ~ 1600 UTC CALIPSO identifies ash at over 18 km with stratospheric ash reaching over 25 km How well can we forecast the locations of ash over 24 hours or so using meteorological ensembles? Can we deduce the ash profile using the MTSAT ash distribution alone?

Dispersion ensemble prediction system Makes use of the Bureau's global ensemble model o Based on UK Met Office MOGREPS model o Employs ETKF and stochastic physics to generate perturbations o 24 ensemble members HYSPLIT run with each ensemble member to produce ensemble ash forecast Line source employed to 19 km

BT 6-24 hour forecasts Dare, R.A., D.H. Smith, and M.J. Naughton, 2015: Ensemble prediction of the dispersion of volcanic ash from the 13 February 2014 eruption of Kelut, Indonesia. Journal of Applied Meteorology and Climatology (accepted). VAAC Control forecast BTD Probabilistic forecast

Inverse modelling approach for source term OLD PARADIGM NEW PARADIGM Specified input Model Non-optimal output Obs Ensemble of inputs Filter Optimal outputs In the new paradigm observations are directly integrated into the modelling process using an inverse model Obs

Inverse modelling algorithm A grid of all possible values of the model parameters (represented by p) is formed Pattern correlations are used as a measure of model agreement with observations for all gridded parameter values r p = i=n i=1 (x i p x (p))(y i y) i=n i=1 (x i p x p ) 2 i=n i=1 (y i y) 2 Model In the deterministic scheme, parameters yielding highest pattern correlations are chosen as the solution In the probabilistic scheme, parameters yielding pattern correlations above a specified threshold are chosen as members of the solution ensemble Obs

Source top estimation Line source extending from summit with uniform mass distribution Variable top altitude

Inverse model results (source top) Scaled pattern correlation Time (UTC) Top altitude (km) Pattern corr. 1630 1730 1830 1930 2030 2130 2230 20.0 23.0 28.0 29.0 22.0 24.0 24.0 0.84 0.76 0.72 0.77 0.79 0.78 0.71 Discrete probability distribution 1830 UTC analysis 2230 UTC analysis

Source base estimation Line source with non-uniform mass distribution Fixed top altitude Variable base altitude

Using inverse model to infer source base altitude Time (UTC) Bottom altitude (km) Pattern corr. 1630 1730 1830 1930 2030 2130 2230 6.0 6.0 8.0 7.0 7.0 7.0 8.0 0.88 0.78 0.78 0.82 0.82 0.81 0.75 1830 UTC analysis 2230 UTC analysis

Two-dimensional inversion Time (UTC) 1630 1730 1830 1930 2030 2130 2230 Base altitude (km) 8.0 6.0 8.0 6.0 6.0 8.0 8.0 1830 UTC analysis Top altitude (km) 20.0 24.0 22.0 26.0 26.0 22.0 26.0 2230 UTC analysis Pattern corr. 0.89 0.79 0.78 0.82 0.82 0.81 0.75

Umbrella cloud Line source 100 km 'disc' 200 km 'disc' Vary source altitude and diameter

Umbrella cloud 2D inverse model Time (UTC) altitude (km) 1630 1730 1830 1930 2030 2130 2230 18.0 18.0 18.0 18.0 18.0 18.0 18.0 Diam. (km) Pattern corr. 100.0 250.0 250.0 250.0 250.0 200.0 150.0 0.82 0.84 0.83 0.80 0.87 0.83 0.74 1830 UTC 2230 UTC

Ash forecasts (14/0630 UTC) from 13/1830 UTC analyses compared Uniform mass distribution (1D) Non-uniform mass distribution (2D) CALIPSO track VOLCAT ash detection Non-uniform Mass distribution (1D) Umbrella cloud (2D) Forecasts of ash probabilities at 14/0630 UTC based on different analyses at 13/1830 UTC

Conclusion Have shown that the meteorological ensemble increases spread of ash forecasts, leading to better agreement with observations Have shown that top altitude of ash column can be estimated quite well with inverse model generally > 20 km consistent with CALIPSO Have shown that low-altitude cut-off can also be estimated generally about 6-8 km here which is a crude model of non-uniform vertical emission rates Have shown that the inversions can be performed simultaneously i.e. 2D inversion Have shown that umbrella cloud span (diameter) may be estimated. Generally > 100 km in this case Have demonstrated the importance of quantifying uncertainties via a probabilistic description.

Future work Integrate inverse modelling of source term with meteorological ensemble model Introduce continuous variations into emission profile by making use of VOLCAT mass loading retrievals Estimate optimal particle size distributions ETC

Thank you Presenter s name: Dr Meelis J. Zidikheri Presenter s phone number: +61 03 9669 4427 m.zidikheri@bom.gov.au