However, experiments at such high-pressure and high-temperature conditions are technically challenging, so it is difficult to collect an abundant data set covering a sufficiently broad range of pressure and temperature conditions. High-pressure and high-temperature compression experiments provide valuable data to estimate such relation. To characterize Earth's outer core, the relation between density, pressure, P wave velocity, and temperature must be known. Key PointsĮarth's outer core is mainly composed a liquid iron that is essential in understanding Earth's internal structure. Bayesian modeling of the EoS enables integration of small data sets that include unobserved data and evaluation of uncertainty ranges of physical properties, such as ρ and V P, which are essential for comparison with seismological properties of the core.
![liquid iron liquid iron](https://images-na.ssl-images-amazon.com/images/I/91Hs16OzaRL._AC_SL1500_.jpg)
Equivalent deviations of the P- V P profile are −4.8% to −1.5% and −6.0% to −2.3%, respectively. Deviations of the 95% credible intervals of the P- ρ profile for the CMB and the inner core boundary are 6.9–9.7% and 6.5–9.8%, respectively. Assuming that the temperature at the core-mantle boundary (CMB) is 3,500–4,200 K, the P- ρ and P- V P profiles show deviations of ρ and V P from the preliminary reference Earth model of about 8–11% and −3% to −5%, respectively. These posterior probability distributions allow calculation of P- ρ and P- V P profiles of liquid iron along the adiabatic P- T profile together with the associated credible intervals. Our Bayesian inference modeling successfully estimates the posterior probability distribution of the parameters and unobserved data by using the Hamiltonian Monte Carlo method. Experiments at such high pressures ( P) and temperatures ( T) are technically challenging, so there are few data available to use in parameter optimization of the EoS. If you have any questions regarding the way Porter's Paints handles your personal information or wish to seek access to, or correct, personal information we hold about you, please contact our Privacy Officer via or call +613 9263 5678.We use Bayesian modeling of the equation of state (EoS) to constrain the density ( ρ) and P wave velocity ( V P) of liquid iron under conditions of Earth's outer core. It contains further details about: (i) the personal information we collect (ii) what we do with it (iii) where we send it (iv) how you can access and correct it (v) how you can lodge a privacy complaint regarding the handling of your personal information (vi) how we handle those complaints (vii) online privacy and (viii) the types of service providers we use. Please refer to our Privacy Policy, available on our website ( or on request.
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