TEM-function

In petroleum engineering, true effective mobility (TEM), also called TEM-function is a criterion to characterize dynamic two-phase flow characteristics of rocks (or dynamic rock quality). TEM is a function of relative permeability, porosity, absolute permeability and fluid viscosity, and can be determined for each fluid phase separately. TEM-function has been derived from Darcy's law for multiphase flow.

𝑇 𝐸 𝑀 = \frac{k k_{𝑟}}{ϕ μ}

in which $k$ is the absolute permeability, $k_{𝑟}$ is the relative permeability, φ is the porosity, and μ is the fluid viscosity. Rocks with better fluid dynamics (i.e., experiencing a lower pressure drop in conducting a fluid phase) have higher TEM versus saturation curves. Rocks with lower TEM versus saturation curves resemble low quality systems.

TEM-function in analyzing relative permeability data is analogous with Leverett J-function in analyzing capillary pressure data. Furthermore, TEM-function in two-phase flow systems is an extension of RQI (rock quality index) for single-phase systems.

Also, TEM-function can be used for averaging relative permeability curves (for each fluid phase separately, i.e., water, oil, gas, CO₂).

Average kr = \frac{\sum_{i = 1}^{n} {𝑇 𝐸 𝑀}_{i}}{\sum_{i = 1}^{n} {(\frac{k}{ϕ μ})}_{i}} = \frac{\sum_{i = 1}^{n} {(\frac{k k_{𝑟}}{ϕ μ})}_{i}}{\sum_{i = 1}^{n} {(\frac{k}{ϕ μ})}_{i}}

References

1 2 3 4 5 Mirzaei-Paiaman, A.; Saboorian-Jooybari, H.; Chen, Z.; Ostadhassan, M. (2019). "New technique of True Effective Mobility (TEM-Function) in dynamic rock typing: Reduction of uncertainties in relative permeability data for reservoir simulation". Petroleum Research. 179: 210–227. doi:10.1016/j.petrol.2019.04.044. S2CID 149962022.
↑ Mirzaei-Paiaman, A.; Asadolahpour, S.R.; Saboorian-Jooybari, H.; Chen, Z.; Ostadhassan, M. (2020). "A new framework for selection of representative samples for special core analysis". Petroleum Research. 5 (3): 210–226. doi:10.1016/j.ptlrs.2020.06.003.
↑ Mirzaei-Paiaman, A. (2019). "New Concept of Dynamic Rock Typing and Necessity of Modifying Current Reservoir Simulators" (PDF). SPE Review London: 7–10. Retrieved 6 August 2020.
↑ Faramarzi-Palangar, M. (2020). "Investigating dynamic rock quality in two-phase flow systems using TEM-function: A comparative study of different rock typing indices". Petroleum Research. 6: 16–25. doi:10.1016/j.ptlrs.2020.08.001.
↑ Wang, R. (2019). "Grid density overlapping hierarchical algorithm for clustering of carbonate reservoir rock types: A case from Mishrif Formation of West Qurna-1 oilfield, Iraq". Journal of Petroleum Science and Engineering. 182 106209. doi:10.1016/j.petrol.2019.106209. S2CID 198327827.
↑ Noorbakhsh, A. (2020). "Field Production Optimization Using Sequential Quadratic Programming (SQP) Algorithm in ESP-Implemented Wells, A Comparison Approach". Journal of Petroleum Science and Technology. Retrieved 6 August 2020.
↑ Nazari, M.H. (2019). "Investigation of factors influencing geological heterogeneity in tight gas carbonates, Permian reservoir of the Persian Gulf". Journal of Petroleum Science and Engineering. 183 106341. doi:10.1016/j.petrol.2019.106341. S2CID 202080296.
↑ Liu, Y. (2019). "Petrophysical static rock typing for carbonate reservoirs based on mercury injection capillary pressure curves using principal component analysis". Journal of Petroleum Science and Engineering. 181: 106175. doi:10.1016/j.petrol.2019.06.039. S2CID 197095683.
↑ Shakiba, M. (2020). "An experimental investigation of the proportion of mortar components on physical and geomechanical characteristics of unconsolidated artificial reservoir sandstones". Journal of Petroleum Science and Engineering. 189 107022. doi:10.1016/j.petrol.2020.107022. S2CID 214481575.
↑ Huang, R. (2020). "Research on Dynamic Simulation System of Multidimensional Reservoirs". 2020 IEEE International Conference on Power, Intelligent Computing and Systems (ICPICS). pp. 96–99. doi:10.1109/ICPICS50287.2020.9202339. ISBN 978-1-7281-9874-3. S2CID 221914057.

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[Mirzaei-Paiaman2019-1] 1 2 3 4 5 Mirzaei-Paiaman, A.; Saboorian-Jooybari, H.; Chen, Z.; Ostadhassan, M. (2019). "New technique of True Effective Mobility (TEM-Function) in dynamic rock typing: Reduction of uncertainties in relative permeability data for reservoir simulation". Petroleum Research. 179: 210–227. doi:10.1016/j.petrol.2019.04.044. S2CID 149962022.

[Mirzaei-Paiaman2020-2] Mirzaei-Paiaman, A.; Asadolahpour, S.R.; Saboorian-Jooybari, H.; Chen, Z.; Ostadhassan, M. (2020). "A new framework for selection of representative samples for special core analysis". Petroleum Research. 5 (3): 210–226. doi:10.1016/j.ptlrs.2020.06.003.

[Mirzaei-Paiaman2019c-3] Mirzaei-Paiaman, A. (2019). "New Concept of Dynamic Rock Typing and Necessity of Modifying Current Reservoir Simulators" (PDF). SPE Review London: 7–10. Retrieved 6 August 2020.

[Faramarzi-Palangar2020-4] Faramarzi-Palangar, M. (2020). "Investigating dynamic rock quality in two-phase flow systems using TEM-function: A comparative study of different rock typing indices". Petroleum Research. 6: 16–25. doi:10.1016/j.ptlrs.2020.08.001.

[Wang2019-5] Wang, R. (2019). "Grid density overlapping hierarchical algorithm for clustering of carbonate reservoir rock types: A case from Mishrif Formation of West Qurna-1 oilfield, Iraq". Journal of Petroleum Science and Engineering. 182 106209. doi:10.1016/j.petrol.2019.106209. S2CID 198327827.

[Noorbakhsh2019-6] Noorbakhsh, A. (2020). "Field Production Optimization Using Sequential Quadratic Programming (SQP) Algorithm in ESP-Implemented Wells, A Comparison Approach". Journal of Petroleum Science and Technology. Retrieved 6 August 2020.

[Nazari2019-7] Nazari, M.H. (2019). "Investigation of factors influencing geological heterogeneity in tight gas carbonates, Permian reservoir of the Persian Gulf". Journal of Petroleum Science and Engineering. 183 106341. doi:10.1016/j.petrol.2019.106341. S2CID 202080296.

[Liu2019-8] Liu, Y. (2019). "Petrophysical static rock typing for carbonate reservoirs based on mercury injection capillary pressure curves using principal component analysis". Journal of Petroleum Science and Engineering. 181: 106175. doi:10.1016/j.petrol.2019.06.039. S2CID 197095683.

[Shakiba2020-9] Shakiba, M. (2020). "An experimental investigation of the proportion of mortar components on physical and geomechanical characteristics of unconsolidated artificial reservoir sandstones". Journal of Petroleum Science and Engineering. 189 107022. doi:10.1016/j.petrol.2020.107022. S2CID 214481575.

[Huang2020-10] Huang, R. (2020). "Research on Dynamic Simulation System of Multidimensional Reservoirs". 2020 IEEE International Conference on Power, Intelligent Computing and Systems (ICPICS). pp. 96–99. doi:10.1109/ICPICS50287.2020.9202339. ISBN 978-1-7281-9874-3. S2CID 221914057.

TEM-function

See also

References