Accurate equations for extrapolating the density of water to varying pressures and temperatures are important for the petroleum industry. Water is a key component in drilling fluids, and extrapolation models of water are essential for calculating the density of the fluid as a whole for different depths in the well. This is further of paramount importance to be able to keep the pressure in the well within safety limits. This paper shows and explains how density–pressure–temperature (DPT) models referred to in the field of Petroleum are not well-suited for high-pressure, high-temperature (HPHT) wells which are becoming more and more common. It also discusses DPT- and pressure–volume–temperature (PVT) models from other disciplines and demonstrates that models with the accuracy needed for HPHT wells, are excessively complex and have unnecessary long execution times. For many challenging wells, hydraulic models run today in parallel with the operation in real-time and may constitute one of several components in a digital twin. In such applications it is important that each component runs as efficiently as possible, such that the entire system is able to deliver its results in time. In this work, new polynomial DPT models are constructed, that fill this gap in water DPT modeling. I.e., they are designed for being used for calculating the water density in real-time, and cover HPHT wells with pressure up to 200MPa and temperature up to 260°C. It is demonstrated that it is possible to construct polynomial models that are 1−2 decades faster than the industry standard used for comparison, while also being more accurate over the pressure and temperature range relevant to HPHT wells. If the accuracy can be slightly relaxed, a new model that is 2−3 orders of magnitude faster than the industry standard is proposed.
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