A data-driven approach to predict compressional and shear wave velocities in reservoir rocks

Teslim Olayiwola , Oluseun A. Sanuade

Petroleum ›› 2021, Vol. 7 ›› Issue (2) : 199 -208.

PDF
Petroleum ›› 2021, Vol. 7 ›› Issue (2) :199 -208. DOI: 10.1016/j.petlm.2020.07.008
research-article
A data-driven approach to predict compressional and shear wave velocities in reservoir rocks
Author information +
History +
PDF

Abstract

Compressional and shear wave velocities (Vp and Vs respectively) are essential reservoir parameters that can be used to delineate lithology, calculate porosity, identify reservoir fluids, evaluate fracture and calculate mechanical properties of rocks. In this study, the potential application of intelligent systems in predicting Vp and Vs of reservoir rocks is presented. To date, considerable efforts are being carried out to obtain the best set of parameters capable of predicting Vp and Vs with a high degree of accuracy. Three intelligent models namely artificial neural network (ANN), adaptive neuro-fuzzy inference system (ANFIS) and least square support vector machine (LSSVM) were used in this study. The different models were based on the available information sourced from wireline log data. Parametric studies showed that measured depth, neutron porosity, gamma-ray, and density log data are vital in predicting both Vp and Vs. In developing the models, a comprehensive dataset available from one of the oil fields in the Norwegian North Basin was used. In evaluating the different models, two different statistical parameters namely Pearson’s correlation coefficient (R2) and root mean square error (RMSE) were considered. It was found that the LSSVM model is the most accurate technique for predicting both Vp and Vs. LSSVM model predicted the Vp with R2 and RSME of 0.9706 and 0.0893 respectively. In addition, the model showed an excellent accuracy level in the prediction of Vs with R2 and RMSE of 0.9991 and 0.0457 respectively. The proposed approach, if implemented, is crucial for geoscientists, reservoir and drilling engineers working on reservoir characterization and drilling operations.

Keywords

Artificial intelligent / Shear wave / ANFIS / Reservoir rocks

Cite this article

Download citation ▾
Teslim Olayiwola, Oluseun A. Sanuade. A data-driven approach to predict compressional and shear wave velocities in reservoir rocks. Petroleum, 2021, 7(2): 199-208 DOI:10.1016/j.petlm.2020.07.008

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

G.R. Pickett, Acoustic character logs and their applications in formation evaluation, J. Petrol. Technol. 15 (1963) 659-667, https://doi.org/10.2118/452-PA.

[2]

M.R. Rezaee, A. Kadkhodaie Ilkhchi, A. Barabadi, Prediction of shear wave velocity from petrophysical data utilizing intelligent systems: an example from a sandstone reservoir of Carnarvon Basin, Australia, J. Petrol. Sci. Eng. 55 (2007) 201-212, https://doi.org/10.1016/j.petrol.2006.08.008.

[3]

C.C. Potter, S.L.M. Miller, G.F. Margrave, Formation elastic parameters and synthetic P-P and P-S seismograms for the Blackfoot field. https://www. crewes.org/ForOurSponsors/ResearchReports/1996/1996-37.pdf, 1996. (Accessed 5 September 2019).

[4]

R. Singh, A. Kainthola, T.N. Singh, Estimation of elastic constant of rocks using an ANFIS approach, Appl. Soft Comput. 12 (2012) 40-45, https://doi.org/10.1016/J.ASOC.2011.09.010.

[5]

C. Chang, M.D. Zoback, A. Khaksar, Empirical relations between rock strength and physical properties in sedimentary rocks, J. Petrol. Sci. Eng. 51 (2006) 223-237, https://doi.org/10.1016/J.PETROL.2006.01.003.

[6]

M. Rajabi, B. Bohloli, E. Gholampour Ahangar, Intelligent approaches for prediction of compressional, shear and Stoneley wave velocities from conventional well log data: a case study from the Sarvak carbonate reservoir in the Abadan Plain (Southwestern Iran), Comput. Geosci. 36 (2010) 647-664, https://doi.org/10.1016/j.cageo.2009.09.008.

[7]

M. Zoback, Reservoir geomechanics. https://books.google.com/books?hl=en&lr=&id=Xx63OaM2JIIC&oi=fnd&pg=PR7& ots=ytmgIU08GY&sig=-y7iqzLA-rMg8hWo6TIGCjwFjA0, 2010. (Accessed 6 September 2019).

[8]

A.R. Najibi, M.R. Asef, Prediction of seismic-wave velocities in rock at various confining pressures based on unconfined data, Geophysics 79 (2014) D235-D242, https://doi.org/10.1190/geo2013-0349.1.

[9]

M.S. Ameen, B.G.D. Smart, J.M. Somerville, S. Hammilton, N.A. Naji, Predicting rock mechanical properties of carbonates from wireline logs (A case study: Arab-D reservoir, Ghawar field, Saudi Arabia), Mar. Petrol. Geol. 26 (2009) 430-444, https://doi.org/10.1016/j.marpetgeo.2009.01.017.

[10]

W. Ouyang, Comprehensive analysis method for transient pressure and production of multistage fractured horizontal well in tight gas reservoirs, Well Test. 27 (2018) 14-21, https://doi.org/10.19680/j.cnki.1004-4388.2018.01.003.

[11]

G.M. Hamada, Reservoir fluids identification using vp/vs ratio? Oil Gas Sci. Technol. 59 (2004) 649-654, https://doi.org/10.2516/ogst:2004046.

[12]

I. Tsvankin, Reflection moveout and parameter estimation for horizontal transverse isotropy, Geophysics 62 (1997) 614-629, https://doi.org/10.1190/1.1444170.

[13]

Y. Zheng, G. Larson, Seismic fracture detection: ambiguity and practical solution, in: SEG Int’l Expo. 74th Annu. Meet., Denver, Colorado, 2004. http://library.seg.org/. (Accessed 6 September 2019).

[14]

J.R. Granli, B. Arntsen, A. Sollid, E. Hilde, Imaging through gas-filled sediments using marine shear-wave data, Geophysics 64 (1999) 668-677, https://doi.org/10.1190/1.1444576.

[15]

O. Oloruntobi, D. Onalo, S. Adedigba, L. James, R. Chunduru, S. Butt, Datadriven shear wave velocity prediction model for siliciclastic rocks, J. Petrol. Sci. Eng. (2019) 106293, https://doi.org/10.1016/j.petrol.2019.106293.

[16]

D. Wantland, G. Laroque, M. Bollo, D. Dickey, Geophysical measurements of rock properties in situ, in: Proc INTL CONF, 1964. https://trid.trb.org/view/119270. (Accessed 8 September 2019).

[17]

R.D. Carroll, The determination of the acoustic parameters of volcanic rocks from compressional velocity measurements, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 6 (1969) 557-579, https://doi.org/10.1016/0148-9062(69)90022-9.

[18]

S. Ji, Q. Wang, B. Xia, Handbook of Seismic Properties of Minerals, Rocks and Ores, Polytechnique International Press, 2002.

[19]

M.L. Greenberg, J.P. Castagna, SHEAR-WAVE velocity estimation IN porous rocks: theoretical formulation, preliminary verification and applications, Geophys. Prospect. 40 (1992) 195-209, https://doi.org/10.1111/j.1365-2478.1992.tb00371.x.

[20]

S. Chopra, J.P. Castagna, J.P. Castagna, F. Al-Jarrah, S. Chopra,2. Rock-physics foundation for AVO analysis, in: AVO, Society of Exploration Geophysicists, 2014, pp. 15-33, https://doi.org/10.1190/1.9781560803201.ch2.

[21]

H. Eskandari, M. Rezaee, Shear wave velocity estimation utilizing wireline logs for a carbonate reservoir, South-West Iran, Iran, Int. J. 4 (2003) 209-221, 2003, http://journals.ut.ac.ir/pdf_30964_cbea006511f82abf766fcac8b052637f.html. (Accessed 27 August 2019).

[22]

T.M. Brocher, Empirical relations between elastic wavespeeds and density in the earth’s crust, Bull. Seismol. Soc. Am. 95 (2005) 2081-2092, https://doi.org/10.1785/0120050077.

[23]

S. Miller, R. Stewart, Effects of lithology, porosity and shaliness on P and swave velocities from SONIC logs, Can. J. Explor. Geophys. Explor. Geophys. 26 (1990) 94-103. https://pdfs.semanticscholar.org/cf5f/48c47c424604661956bc097b807aeb6c4fc5.pdf?_ga=2.70186969.83368465.1567713278-1147726868.1566939668. (Accessed 5 September 2019).

[24]

A. Jorstad, T. Mukerji, G. Mavko, Model-based shear-wave velocity estimation versus empirical regressions, Geophys. Prospect. 47 (1999) 785-797, https://doi.org/10.1046/j.1365-2478.1999.00154.x.

[25]

Z. Hossain, T. Mukerji, I.L. Fabricius, Vp-Vs relationship and amplitude variation with offset modelling of glauconitic greensandz, Geophys. Prospect. 60 (2012) 117-137, https://doi.org/10.1111/j.1365-2478.2011.00968.x.

[26]

B.H. Russell, D.P. Hampson, L.R. Lines, A case study in the local estimation of shear-wave logs, in: SEG Tech. Progr. Expand. Abstr. 2004, Society of Exploration Geophysicists, 2004, pp. 390-393, https://doi.org/10.1190/1.1851278.

[27]

T. Olayiwola, Application of artificial neural network to estimate permeability from nuclear magnetic resonance log, in: SPE Annu. Tech. Conf. Exhib., 2017, https://doi.org/10.2118/189294-STU.

[28]

A.K. Verma, B.A. Cheadle, A. Routray, W.K. Mohanty, L. Mansinha, Porosity and permeability estimation using neural network approach from well log data, search discov, 41276, http://www.searchanddiscovery.com/documents/2014/41276verma/ndx_verma, 2014. (Accessed 5 September 2019).

[29]

S. Singh, A.I. Kanli, S. Sevgen, A general approach for porosity estimation using artificial neural network method: a case study from Kansas gas field, Studia Geophys. Geod. 60 (2016) 130-140, https://doi.org/10.1007/s11200-015-0820-2.

[30]

S. Zaker, S. mohamadi nafchi, M. Rastegarnia, S. Bagheri, A. Sanati, A. Naghibi, Prediction of new perforation intervals in a depleted reservoir to achieve the maximum productivity: a case study of PNN logging in a cased-well of an Iranian oil reservoir, Petroleum (2019), https://doi.org/10.1016/J.PETLM.2019.06.003.

[31]

A. Ansari, M. Heras, J. Nones, M. Mohammadpoor, F. Torabi, Predicting the performance of steam assisted gravity drainage (SAGD) method utilizing artificial neural network (ANN), Petroleum (2019), https://doi.org/10.1016/J.PETLM.2019.04.001.

[32]

A. Hashemi Fath, F. Madanifar, M. Abbasi, Implementation of multilayer perceptron (MLP) and radial basis function (RBF) neural networks to predict solution gas-oil ratio of crude oil systems, Petroleum (2018), https://doi.org/10.1016/J.PETLM.2018.12.002.

[33]

O.A. Sanuade, P. Adetokunbo, M.A. Oladunjoye, A.A. Olaojo, Predicting moisture content of soil from thermal properties using artificial neural network, Arab. J. Geosci. 11 (2018) 566, https://doi.org/10.1007/s12517-018-3917-4.

[34]

G. Çakmak, C. Yıldız, The prediction of seedy grape drying rate using a neural network method, Comput. Electron. Agric. 75 (2011) 132-138, https://doi.org/10.1016/J.COMPAG.2010.10.008.

[35]

H. Çanakcı, A. Baykasoğlu, H. Güllü, Prediction of compressive and tensile strength of Gaziantep basalts via neural networks and gene expression programming, Neural Comput. Appl. 18 (2009) 1031-1041, https://doi.org/10.1007/s00521-008-0208-0.

[36]

M.A. Ahmadi, S.R. Shadizadeh, K. Shah, A. Bahadori, An accurate model to predict drilling fluid density at wellbore conditions, Egypt, J. Petrol. 27 (2018) 1-10, https://doi.org/10.1016/J.EJPE.2016.12.002.

[37]

I. Aizenberg, L. Sheremetov, L. Villa-Vargas, J. Martinez-Mu-noz, Multilayer Neural Network with Multi-Valued Neurons in time series forecasting of oil production, Neurocomputing 175 (2016) 980-989, https://doi.org/10.1016/J.NEUCOM.2015.06.092.

[38]

S.O. Olatunji, A. Selamat, A.R.A. Azeez, Harnessing the power of type-2 fuzzy logic system to achieve improved permeability prediction accuracy in a hybrid setting, in: SPE Kingdom Saudi Arab. Annu. Tech. Symp. Exhib., Society of Petroleum Engineers, 2016, https://doi.org/10.2118/182745-MS.

[39]

F.A. Anifowose, A. Abdulraheem, A functional networks-type-2 fuzzy logic hybrid model for the prediction of porosity and permeability of oil and gas reservoirs, in: 2010 Second Int. Conf. Comput. Intell. Model. Simul., IEEE, 2010, pp. 193-198, https://doi.org/10.1109/CIMSiM.2010.43.

[40]

A. Bhatt, H.B. Helle, Committee neural networks for porosity and permeability prediction from well logs, Geophys. Prospect. 50 (2002) 645-660, https://doi.org/10.1046/j.1365-2478.2002.00346.x.

[41]

A. Kamari, F. Moeini, M.-J. Shamsoddini-Moghadam, S.-A. Hosseini, A.H. Mohammadi, A. Hemmati-Sarapardeh, Modeling the permeability of heterogeneous oil reservoirs using a robust method, Geosci. J. 20 (2016) 259-271, https://doi.org/10.1007/s12303-015-0033-2.

[42]

H. Eskandari, M.R. Rezaee, M. Mohammadnia, Application of multiple regression and artificial neural network techniques… CSEG Rec. (2004) 41-48. https://pdfs.semanticscholar.org/8297/e5cbc916763d97fa59251-4a3ebe087b8-92.pdf. (Accessed 5 September 2019).

[43]

M.R. Rezaee, A. Kadkhodaie Ilkhchi, A. Barabadi, Prediction of shear wave velocity from petrophysical data utilizing intelligent systems: an example from a sandstone reservoir of Carnarvon Basin, Australia, J. Petrol. Sci. Eng. 55 (2007) 201-212, https://doi.org/10.1016/J.PETROL.2006.08.008.

[44]

M. Zoveidavianpoor, A. Samsuri, S.R. Shadizadeh, Adaptive neuro fuzzy inference system for compressional wave velocity prediction in a carbonate reservoir, J. Appl. Geophys. 89 (2013) 96-107, https://doi.org/10.1016/j.jappgeo.2012.11.010.

[45]

M. Asoodeh, P. Bagheripour, Prediction of compressional, shear, and Stoneley wave velocities from conventional well log data using a committee machine with intelligent systems, Rock Mech. Rock Eng. 45 (2012) 45-63, https://doi.org/10.1007/s00603-011-0181-2.

[46]

A. Nourafkan, A. Kadkhodaie-Ilkhchi, Shear wave velocity estimation from conventional well log data by using a hybrid ant colony-fuzzy inference system: a case study from Cheshmeh-Khosh oilfield, J. Petrol. Sci. Eng. 127 (2015) 459-468, https://doi.org/10.1016/j.petrol.2015.02.001.

[47]

F.A. Hadi, R. Nygaard,Shear wave prediction in carbonate reservoirs: can artificial neural network outperform regression analysis?, in: 52nd US Rock Mech. /Geomech. Symp. American Rock Mechanics Association, Seattle, Washington, USA, 2018. https://www.onepetro.org/conference-paper/ARMA-2018-905. (Accessed 6 September 2019).

[48]

M. Anemangely, A. Ramezanzadeh, H. Amiri, S.A. Hoseinpour, Machine learning technique for the prediction of shear wave velocity using petrophysical logs, J. Petrol. Sci. Eng. 174 (2019) 306-327, https://doi.org/10.1016/j.petrol.2018.11.032.

[49]

Equinor, Volve Data. https://data.equinor.com/dataset/Volve, 2018.

[50]

S. Dutta, J.P. Gupta, PVT correlations for Indian crude using artificial neural networks, J. Petrol. Sci. Eng. 72 (2010) 93-109, https://doi.org/10.1016/j.petrol.2010.03.007.

[51]

S.R. Moosavi, B. Vaferi, D.A. Wood, Applying orthogonal collocation for rapid and reliable solutions of transient flow in naturally fractured reservoirs, J. Petrol. Sci. Eng. 162 (2018) 166-179, https://doi.org/10.1016/j.petrol.2017.12.039.

[52]

R. Zabihi, D. Mowla, H.R. Karami, Artificial intelligence approach to predict drag reduction in crude oil pipelines, J. Petrol. Sci. Eng. 178 (2019) 586-593, https://doi.org/10.1016/j.petrol.2019.03.042.

[53]

J. Moghadasi, K. Kazemi, S. Moradi, The application of artificial neural networks in determination of bubble point pressure for iranian crude oils, Petrol. Sci. Technol. 31 (2013) 2475-2482, https://doi.org/10.1080/10916466.2011.572107.

[54]

J.J. Hopfield,Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Natl. Acad. Sci. U.S.A. 81 (1984) 3088-3092, https://doi.org/10.1073/pnas.81.10.3088.

[55]

M.A. Ahmadi, Developing a robust surrogate model of chemical flooding based on the artificial neural network for enhanced oil recovery implications, Math. Probl Eng. 2015 (2015), https://doi.org/10.1155/2015/706897.

[56]

M.A. Ahmadi, Prediction of asphaltene precipitation using artificial neural network optimized by imperialist competitive algorithm, J. Pet. Explor. Prod. Technol. 1 (2011) 99-106, https://doi.org/10.1007/s13202-011-0013-7.

[57]

M.A. Ahmadi, S.R. Shadizadeh, New approach for prediction of asphaltene precipitation due to natural depletion by using evolutionary algorithm concept, Fuel 102 (2012) 716-723, https://doi.org/10.1016/j.fuel.2012.05.050.

[58]

E. Jorjani, S. Chehreh Chelgani, S. Mesroghli, Application of artificial neural networks to predict chemical desulfurization of Tabas coal, Fuel 87 (2008) 2727-2734, https://doi.org/10.1016/j.fuel.2008.01.029.

[59]

J.R. Jang, ANFIS : adaptive-Network-based fuzzy inference system, IEEE Trans. Syst. Man Cybern. 23 (1993) 665-685.

[60]

A.K. Lohani, N.K. Goel, K.K.S. Bhatia, Takagi-Sugeno fuzzy inference system for modeling stage-discharge relationship, J. Hydrol. 331 (2006) 146-160, https://doi.org/10.1016/j.jhydrol.2006.05.007.

[61]

L.A. Zadeh, Fuzzy sets Inf. Control 8 (1965) 338-353, https://doi.org/10.1016/S0019-9958(65)90241-X.

[62]

T. Takagi, M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. Syst. Man Cybern. SMC-15 (1985) 116-132, https://doi.org/10.1109/TSMC.1985.6313399.

[63]

S.Y. Yi, M.J. Chung, Identification of fuzzy relational model and its application to control, Fuzzy Set Syst. 59 (1993) 25-33, https://doi.org/10.1016/0165-0114(93)90222-4.

[64]

E.H. Mamdani, Application of fuzzy logic to approximate reasoning using linguistic synthesis, IEEE Trans. Comput. Ce 26 (1977) 1182-1191, https://doi.org/10.1109/TC.1977.1674779.

[65]

S.A. Ghallab, N. Badr, M. Hashem, A.B. Salem, M.F. Tolba, Modeling an application for oil and gas ratio prediction using ANFIS, Egypt, Comput. Sci. J. 36 (2012) 1-10.

[66]

D. Karaboğa, E. Kaya, Training ANFIS by using the artificial bee colony algorithm, Turk. J. Electr. Eng. Comput. Sci. 25 (2017) 1669-1679, https://doi.org/10.3906/elk-1601-240.

[67]

H.A. Zamani, S. Rafiee-Taghanaki, M. Karimi, M. Arabloo, A. Dadashi, Implementing ANFIS for prediction of reservoir oil solution gas-oil ratio, J. Nat. Gas Sci. Eng. 25 (2015) 325-334, https://doi.org/10.1016/j.jngse.2015.04.008.

[68]

H. Rezaei, M. Rahmati, H. Modarress, Application of ANFIS and MLR models for prediction of methane adsorption on X and Y faujasite zeolites: effect of cations substitution, Neural Comput. Appl. 28 (2017) 301-312, https://doi.org/10.1007/s00521-015-2057-y.

[69]

M. Najib, M. Salleh, K. Hussain,A review of training methods of ANFIS for applications in business and economics, Int. J. Univ. Tun Hussein Serv. Sci. Technol. 9 (2016) 165-172.

[70]

Y. Gershteyn, L. Perman, Matlab : ANFIS Toolbox what Is ANFIS ?, 2003.

[71]

J.P.S. Catal-ao, H.M.I. Pousinho, V.M.F. Mendes, Hybrid wavelet-PSO-ANFIS approach for short-term wind power forecasting in Portugal, IEEE Trans. Sustain. Energy 2 (2011) 50-59, https://doi.org/10.1109/TSTE.2010.2076359.

[72]

C. Cortes, V. Vapnik, Support-vector networks, Mach. Learn. 20 (1995) 273-297, https://doi.org/10.1007/BF00994018.

[73]

J.A.K. Suykens, J. Vandewalle, Least squares support vector machine classifiers, Neural Process. Lett. 9 (1999) 293-300, https://doi.org/10.1023/A:1018628609742.

[74]

A.J. Smola, B.S.C.H. Scholkopf, A tutorial on support vector regression, Stat. Comput. 14 (2004) 199-222. https://link.springer.com/content/pdf/10.1023% 2FB%3ASTCO.0000035301.49549.88.pdf. (Accessed 23 August 2019).

[75]

K. Pelckmans, J.A.K. Suykens, T. Van Gestel, J. De Brabanter, L. Lukas, B. Hamers, B. De Moor, J. Vandewalle,LS-SVMlab: a Matlab/C Toolbox for Least Squares Support Vector Machines, vol. 142, Tutor. KULeuven-ESAT Leuven, Belgium, 2002 citeulike-article-id: 6858102.

[76]

J.A.K. Suykens, T. Van Gestel, J. Vandewalle, B. De Moor, A support vector machine formulation to PCA analysis and its kernel version, IEEE Trans. Neural Network. 14 (2003) 447-450, https://doi.org/10.1109/TNN.2003.809414.

[77]

A. Shokrollahi, M. Arabloo, F. Gharagheizi, A.H. Mohammadi, Intelligent model for prediction of CO2 -reservoir oil minimum miscibility pressure, Fuel 112 (2013) 375-384, https://doi.org/10.1016/j.fuel.2013.04.036.

[78]

S. Esmaeili, H. Sarma, T. Harding, B. Maini, A data-driven model for predicting the effect of temperature on oil-water relative permeability, Fuel 236 (2019) 264-277, https://doi.org/10.1016/j.fuel.2018.08.109.

[79]

M.A. Ahmadi, B. Mahmoudi, A. Yazdanpanah, Development of robust model to estimate gas-oil interfacial tension using least square support vector machine: experimental and modeling study, J. Supercrit. Fluids 107 (2016) 122-128, https://doi.org/10.1016/j.supflu.2015.08.012.

[80]

M.A. Ahmadi, A. Bahadori, A LSSVM approach for determining well placement and conning phenomena in horizontal wells, Fuel 153 (2015) 276-283, https://doi.org/10.1016/j.fuel.2015.02.094.

[81]

M.A. Ahmadi, Toward reliable model for prediction Drilling Fluid Density at wellbore conditions: a LSSVM model, Neurocomputing 211 (2016) 143-149, https://doi.org/10.1016/j.neucom.2016.01.106.

[82]

M.A. Ahmadi, Connectionist approach estimates gas-oil relative permeability in petroleum reservoirs: application to reservoir simulation, Fuel 140 (2015) 429-439, https://doi.org/10.1016/j.fuel.2014.09.058.

[83]

M.A. Ahmadi, M. Ebadi, P.S. Marghmaleki, M.M. Fouladi, Evolving predictive model to determine condensate-to-gas ratio in retrograded condensate gas reservoirs, Fuel 124 (2014) 241-257, https://doi.org/10.1016/j.fuel.2014.01.073.

[84]

O. Oloruntobi, S. Butt, The new formation bulk density predictions for siliciclastic rocks, J. Petrol. Sci. Eng. 180 (2019) 526-537, https://doi.org/10.1016/j.petrol.2019.05.017.

[85]

M. Anemangely, A. Ramezanzadeh, B. Tokhmechi, Shear wave travel time estimation from petrophysical logs using ANFIS-PSO algorithm: a case study from Ab-Teymour Oilfield, J. Nat. Gas Sci. Eng. 38 (2017) 373-387, https://doi.org/10.1016/j.jngse.2017.01.003.

[86]

Matlab, MATLAB, (2016). (mathworks.com/patents).

PDF

0

Accesses

0

Citation

Detail

Sections
Recommended

/