Theory and Application of Numerical Simulation of Chemical Flooding in High Temperature and High Salt Reservoirs

ABSTRACT

Applications, theoretical analysis and numerical methods are introduced for the simulation of mechanical models and principles of the porous flow in high temperature, high salt, complicated geology and large-scale reservoirs in this paper. Considering petroleum geology, geochemistry, computational permeation fluid mechanics and computer technology, we state the models of permeation fluid mechanics and put forward a sequence of implicit upwind difference iteration schemes based on refined fractional steps of the upstream, which can compute the pressures, the saturation and the concentrations of different chemistry components. A type of software applicable in major industries has been completed and carried out in numerical analysis and simulations of oil extraction in Shengli Oil-field, which brings huge economic benefits and social benefits. This software gives many characters: spatial steps are taken as ten meters, the number of nodes is up to hundreds of thousands and simulation time period can be tens of years and the high-order accuracy can be promised in numerical data. Precise analysis is present for simplified models of this type and that provides a tool to solve the international famous problem.

KEYWORDS

High Temperature and High Salt Complicated Chemical Flooding, Computational Permeation Fluid Mechanics, Numerical Method and Engineering Software, Actual Application of Oil-Fields, Theoretical Analysis

High Temperature and High Salt Complicated Chemical Flooding, Computational Permeation Fluid Mechanics, Numerical Method and Engineering Software, Actual Application of Oil-Fields, Theoretical Analysis

Cite this paper

Yuan, Y. , Cheng, A. , Yang, D. and Li, C. (2014) Theory and Application of Numerical Simulation of Chemical Flooding in High Temperature and High Salt Reservoirs.*International Journal of Geosciences*, **5**, 956-970. doi: 10.4236/ijg.2014.59082.

Yuan, Y. , Cheng, A. , Yang, D. and Li, C. (2014) Theory and Application of Numerical Simulation of Chemical Flooding in High Temperature and High Salt Reservoirs.

References

[1] Ewing, R.E, Yuan, Y.R. and Li, G. (1989) Finite Element for Chemical-Flooding Simulation. Proceeding of the 7th International Conference Finite Element Method in Flow Problems, The University of Alabama in Huntsville, Huntsville, 1264-1271.

[2] Yuan, Y.R. (2013) Theory and Application of Numerical Simulation Energy Sources. Basis of Numerical Simulation of Chemical Production (Tertiary Oil Recovery), Science Press, Beijing, 257-304.

[3] Institute of Mathematics, Shandong University, Exploration Institute of Daqing Petroleum Administration (1995) Research and Application of the Polymer Flooding Software. Summary of “Eighth-Five” National Key Science and Technology Program, Grant No. 85-203-01-08.

[4] Yuan, Y.R. (1993) The Characteristic Finite Difference Method for Enhanced Oil Recovery Simulation and L2 Estimates. Science in China (A), 11, 1296-1307.

[5] Yuan, Y.R. (1994) The Characteristic Mixed Finite Element Method and Analysis for Two Dimensional Chemical Flooding Reservoir Simulation. Acta Mathematicae Applicatae Sinica, 1, 118-131.

[6] Yuan, Y.R. (1993) The Characteristic Mixed Finite Element Method for Enhanced Oil Recovery Simulation and Optimal Order L2 Error Estimate. Chinese Science Bulletin, 21, 1761-1766.

[7] China National Petroleum Corporation (1995) Evaluation Report of Executive Condition of “Eighth-Five” National Key Science and Technology Program. Grant No. 85-203-01-08.

[8] Yuan, Y.R., Yang, D.P., Qi, L.Q., et al. (1998) Research on Algorithms of Applied Software of the Polymer. In: Gang, Q.L., Ed., Proceeding on Chemical Flooding, Petroleum Industry Press, Beijing, 246-253.

[9] Yuan, Y.R. (2000) Finite Element Method and Analysis for Chemical Flow Simulation. System Science and Mathematical Sciences, 3, 302-308.

[10] Institute of Mathematics, Shandong University, Exploration Institute of Daqing Petroleum Administration (2006) Modification of Solving Mathematical Models of the Polymer and Improvement of Reservoir Description.

[11] Institute of Mathematics, Shandong University, Shengli Oilfield Branch, China Petroleum and Chemical Corporation (2011) Research on Key Technology of High Temperature and High Salinity Chemical Agent Displacement. 83-106.

[12] Ewing, R.E. (1983) The Mathematics of Reservoir Simulation. SIAM, Philadelphia.

http://dx.doi.org/10.1137/1.9781611971071

[13] Yuan, Y.R. (2002) The Upwind Difference Method for Compressible Two-Phase Displacement Problem. Acta Mathematicae Applicatae Sinica, 3, 484-496.

[14] Yuan, Y.R. (1999) The Characteristic Finite Difference Fractional Steps Method for Compressible Two-Phase Displacement Problem. Science in China (A), 1, 48-57.

http://dx.doi.org/10.1007/BF02872049

[15] Yuan, Y.R. (2003) The Upwind Finite Difference Fractional Steps Method for Two-Phase Compressible Flow in Porous Media. Numerical Methods for Partial Differential Equations, 19, 67-88.

http://dx.doi.org/10.1002/num.10036

[16] Yuan, Y.R. (2001) Characteristic Finite Difference Fractional Steps Method for Three-Dimensional Compressible Multi-Component Displacement Problem. Acta Mathematicae Applicatae Sinica, 2, 242-249.

[1] Ewing, R.E, Yuan, Y.R. and Li, G. (1989) Finite Element for Chemical-Flooding Simulation. Proceeding of the 7th International Conference Finite Element Method in Flow Problems, The University of Alabama in Huntsville, Huntsville, 1264-1271.

[2] Yuan, Y.R. (2013) Theory and Application of Numerical Simulation Energy Sources. Basis of Numerical Simulation of Chemical Production (Tertiary Oil Recovery), Science Press, Beijing, 257-304.

[3] Institute of Mathematics, Shandong University, Exploration Institute of Daqing Petroleum Administration (1995) Research and Application of the Polymer Flooding Software. Summary of “Eighth-Five” National Key Science and Technology Program, Grant No. 85-203-01-08.

[4] Yuan, Y.R. (1993) The Characteristic Finite Difference Method for Enhanced Oil Recovery Simulation and L2 Estimates. Science in China (A), 11, 1296-1307.

[5] Yuan, Y.R. (1994) The Characteristic Mixed Finite Element Method and Analysis for Two Dimensional Chemical Flooding Reservoir Simulation. Acta Mathematicae Applicatae Sinica, 1, 118-131.

[6] Yuan, Y.R. (1993) The Characteristic Mixed Finite Element Method for Enhanced Oil Recovery Simulation and Optimal Order L2 Error Estimate. Chinese Science Bulletin, 21, 1761-1766.

[7] China National Petroleum Corporation (1995) Evaluation Report of Executive Condition of “Eighth-Five” National Key Science and Technology Program. Grant No. 85-203-01-08.

[8] Yuan, Y.R., Yang, D.P., Qi, L.Q., et al. (1998) Research on Algorithms of Applied Software of the Polymer. In: Gang, Q.L., Ed., Proceeding on Chemical Flooding, Petroleum Industry Press, Beijing, 246-253.

[9] Yuan, Y.R. (2000) Finite Element Method and Analysis for Chemical Flow Simulation. System Science and Mathematical Sciences, 3, 302-308.

[10] Institute of Mathematics, Shandong University, Exploration Institute of Daqing Petroleum Administration (2006) Modification of Solving Mathematical Models of the Polymer and Improvement of Reservoir Description.

[11] Institute of Mathematics, Shandong University, Shengli Oilfield Branch, China Petroleum and Chemical Corporation (2011) Research on Key Technology of High Temperature and High Salinity Chemical Agent Displacement. 83-106.

[12] Ewing, R.E. (1983) The Mathematics of Reservoir Simulation. SIAM, Philadelphia.

http://dx.doi.org/10.1137/1.9781611971071

[13] Yuan, Y.R. (2002) The Upwind Difference Method for Compressible Two-Phase Displacement Problem. Acta Mathematicae Applicatae Sinica, 3, 484-496.

[14] Yuan, Y.R. (1999) The Characteristic Finite Difference Fractional Steps Method for Compressible Two-Phase Displacement Problem. Science in China (A), 1, 48-57.

http://dx.doi.org/10.1007/BF02872049

[15] Yuan, Y.R. (2003) The Upwind Finite Difference Fractional Steps Method for Two-Phase Compressible Flow in Porous Media. Numerical Methods for Partial Differential Equations, 19, 67-88.

http://dx.doi.org/10.1002/num.10036

[16] Yuan, Y.R. (2001) Characteristic Finite Difference Fractional Steps Method for Three-Dimensional Compressible Multi-Component Displacement Problem. Acta Mathematicae Applicatae Sinica, 2, 242-249.