Surrogate models can enhance performance in HPC applications. Cache-based surrogates use pre-calculated simulation results for interpolation or extrapolation. However, this is only effective if retrieval is faster than simulation. This paper proposes an MPI-based distributed architecture where parallel processes share memory to build a distributed hash table. Three DHT approaches for HPC are presented. A lock-free design outperforms both coarse-grained and fine-grained locking DHTs, demonstrating good scaling for read and write performance. The lock-free DHT improved the runtime of a reactive transport simulation up to 42%.