The application of improved differential evolution algorithm in electromagnetic fracture monitoring
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Abstract
Hydraulic fracturing is a pivotal technology in the development of unconventional tight reservoirs, in which accurate monitoring of fracture parameters is significant. This paper proposes an improved differential evolution algorithm (EMDE) to calculate the Effective Propped Volume (EPV) accurately. The forward simulation results demonstrate that when the transmitting source plane is in a particular position, the relationship between signals and a specific parameter is the most obvious, providing a basis for the application of inversion algorithms. Furthermore, the difference between the population center and the individual is added to accelerate the convergence of the EMDE algorithm. A simplified selection strategy of the simulated annealing algorithm is used to enhance the convergence speed and the ability to find the global optimal value of the objective function simultaneously. The one-stage and two-stages inversion strategies are designed to calculate the parameters. In the two-stage inversion, the second-stage is constrained by the forward simulation and the first-stage results. It indicates that the errors of the two-stages inversion can be controlled within 5%. Through the inversion simulation proposed in this paper, the feasibility of the electromagnetic method to monitor the EPV is verified, and it provides a theoretical guidance for subsequent fracturing construction adjustments.
Cited as: Qi, J., Zhang, L., Zhang, K., Li, L., Sun, J. The application of improved differential evolution algorithm in electromagnetic fracture monitoring. Advances in Geo-Energy Research, 2020, 4(3): 233-246, doi: 10.46690/ager.2020.03.02
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Abubakar, A., Habashy. T.M. Three-dimensional single-well imaging of the multi-array triaxial induction logging data. Paper Presented at 2006 SEG Annual Meeting, New Orleans, Louisiana, 1-6 October, 2006.
Abubakar, A., Habashy, T.M., Druskin, V.L., et al. 2.5 D forward and inverse modeling for interpreting low-frequency electromagnetic measurements. Geophysics 2008, 73(4): F165-F177.
Alumbaugh, D.L., Wilt, M.J. A numerical sensitivity study of the three dimensional imaging from a single borehole. Petrophysics 2001, 42(1): 19-31.
Basu, S., Sharma, M.M. A new method for fracture diagnostics using low frequency electromagnetic induction. Paper SPE 168606 Presented at SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 4-6 February, 2014.
Brest, J., Greiner, S., Boskovic, B., et al. Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems. IEEE Trans. Evol. Comput. 2006, 10(6): 646-657.
Chen, Y., Yang, S., Nie, Z. The application of a modified differential evolution strategy to some array pattern synthesis problems. IEEE Trans. Antennas Propag. 2008, 56(7): 1919-1927.
Cipolla, C.L., Lolon, E., Mayerhofer, M.J., et al. The effect of proppant distribution and un-propped fracture conductivity on well performance in unconventional gas reservoirs. Paper SPE 119368 Presented at SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 19-21 January, 2009.
Huang, Y., Boyle, K. Antennas: From theory to Practice. Chichester, UK, John Wiley & Sons Ltd, 2008.
LaBrecque, D., Brigham, R., Denison, J., et al. Remote imaging of proppants in hydraulic fracture networks using electromagnetic methods: Results of small-scale field experiments. Paper SPE 179170 Presented at SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 9-11 February, 2016.
Li, M., Abubakar, A., Habashy, T.M. A three-dimensional model-based inversion algorithm for electromagnetic data inversion. Paper Presented at 2011 SEG Annual Meeting, San Antonio, Texas, USA, 18-23 September, 2011.
Liu, J., Abubakar, A., Habashy, T.M., et al. Nonlinear inversion approaches for cross-well electromagnetic data collected in cased-wells. Paper Presented at 2008 SEG Annual Meeting, Las Vegas, Nevada, USA, 9-14 November, 2008.
Liu, J., Lampinen, J. A fuzzy adaptive differential evolution algorithm. Soft Comput. 2005, 9(6): 448-462.
Mallan, R., Alumbaugh, D. The effects of anisotropy on 3D single-well imaging. Paper Presented at 2004 SEG Annual Meeting, Denver, Colorado, USA, 10-15 October, 2004.
Newman, G.A., Alumbaugh, D.L. Three-dimensional massively parallel electromagnetic inversion-I. Theory. Geophys. J. Int. 1997, 128(2): 345-354.
Palisch, T., Al-Tailji, W., Bartel, L., et al. Recent advancements in far-field proppant detection. Paper SPE 179161 Presented at SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 9-11 February, 2016.
Qin, A., Suganthan, P.N. Self-adaptive differential evolution algorithm for numerical optimization. Paper Presented at IEEE Congress on Evolutionary Computation, Edinburgh, Scotland, UK, 2-5 Septenber, 2005.
Ruan, B. 1-D Optimazition inversion method for resistivity and IP sounding data. Journal of Guilin University of Technology 1999, (4): 321-325. (in Chinese)
Storn, R., Price, K. Differential evolutiona simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 1997, 11(4): 341-359.
Symington, W.A., Kaminsky, R.D., Meurer, W.P., et al. ExxonMobil’s ElectrofracTM Process for In Situ Oil Shale Conversion, in Oil Shale: A Solution to the Liquid Fuel Dilemma, edited by O.I. Ogunsola, A.M. Hartstein, O. Ogunsola, Oxford University Press, New York, pp. 185-216, 2010.
Teo, J. Exploring dynamic self-adaptive populations in differential evolution. Soft Comput. 2006, 10(8): 673-686.
Vesterstrom, J., Thomsen, R. A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems. Paper Presented at Proceedings of the 2004 Congress on Evolutionary Computation, Portland, Oregon, USA, 19-23 June, 2004.
Wang, A., Zhang, W. An improved differential evolution algorithm for antenna optimization. Chinese Journal of Radio Science 2009, 24(5): 808-812. (in Chinese)
Wang, Z., He, Z., Tang, B., et al. BSEM 3D inversion research and application case. Paper Presented at 2011 SEG Annual Meeting, San Antonio, Texas, USA, 18-23 September, 2011.
Zaslavsky, M., Druskin, V., Liu, J., et al. A three-dimensional multiplicative-regularized non-linear inversion algorithm for cross-well electromagnetic and controlled-source electromagnetic applications. Paper Presented at 2008 SEG Annual Meeting, Las Vegas, Nevada, USA, 9-14 November, 2008.
Zhang, J., Sanderson, A.C. JADE: Self-adaptive differential evolution with fast and reliable convergence performance. Paper Presented at IEEE Congress on Evolutionary Computation, Singapore, 25-28 September, 2007.
Zhang, K., Wei, W., Lv, Q., et al. The study of 2-D nonlinear conjugate gradients inversion of borehole-to-surface magnetotelluric. ACTA Geologica Sinica 2011, 85(5): 915-924. (in Chinese)
Zhang, L., Qi, J., Li, L., et al. A forward modeling method based on electromagnetic theory to measure the parameters of hydraulic fracture. Fuel 2019, 251: 466-473.
DOI (PDF): https://doi.org/10.46690/ager.2020.03.02
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