The compilation of thermodynamic models for geophysical applications is such a tedious and complex process that it is generally impractical for researchers to refit parameters in existing models in light of new constraints. To mitigate this difficulty, we develop a Bayesian algorithm that permits the modification of a thermodynamic model to account for additional observational constraints. This algorithm can be applied to any thermodynamic dataset and can utilize a wide variety of experimental constraints. To demonstrate the applicability of the algorithm it is used to revise the Stixrude and Lithgow‐Bertelloni (2011, https://doi.org/10.1111/j.1365‐246x.2010.04890.x), whole‐mantle terrestrial thermodynamic model, using phase equilibrium constraints provided by Bertka and Fei (1997, https://doi.org/10.1029/96jb03270), for the more iron‐rich compositions that are thought to be relevant to the Martian mantle. The revised thermodynamic model provides a more reliable prediction of phase equilibria in the Martian mantle. Seismic properties are calculated in an internally self‐consistent manner along hot and cold areotherms to constrain the upper and lower bounds of these properties for different bulk silicate Mars compositional models.

中文翻译：

---

热力学参数优化算法：在火星地幔中的应用

用于地球物理应用的热力学模型的编译是一个繁琐而复杂的过程，因此对于研究人员而言，根据新的约束条件重新调整现有模型中的参数通常是不切实际的。为了减轻这一困难，我们开发了一种贝叶斯算法，该算法允许修改热力学模型以解决其他观测约束。该算法可以应用于任何热力学数据集，并且可以利用各种实验约束。为了证明该算法的适用性，它使用以下方法修改了Stixrude和Lithgow-Bertelloni（2011，https://doi.org/10.1111/j.1365-246x.2010.04890.x），这是一种完整的地幔热力学模型。由Bertka和Fei（1997，https://doi.org/10.1029/96jb03270）提供的相位平衡约束，认为与火星地幔有关的铁含量更高的成分。修改后的热力学模型为火星地幔中的相平衡提供了更可靠的预测。沿着热和冷等温线以内部自洽的方式计算地震特性，以约束不同体硅酸盐火星组成模型的这些特性的上限和下限。