SlideShare a Scribd company logo
1 of 19
Direct Spatiotemporal Interpolation of Reservoir Flow Responses Presented by Shekhar Srinivasan Supervisor: Dr. Sanjay Srinivasan The University of Texas at Austin Petroleum & Geosystems Engineering
History Matching ,[object Object],Porosity Permeability Rock & fluid compressibilities Saturations
History Matching ,[object Object],[object Object],[object Object],Perm field Change map Production response
Objective of Problem Sampled pressure transients Desired pressure data ? P t P t P t P t P t P t P t P t P t P t P t 15000 ft 15000 ft
Time series modeling P t P = a 0 a 1 a 2 + f 2  (t) a n + + … f n  (t) f 1  (t) ,[object Object],[object Object],Known basis functions c – y  t  sin (  t  ) e  -t
Wavelets: A Handy Tool Scale  2 Scale  1 Original image
Inverse transform Scale  2 Scale  1 Reconstructed image
Scaling & Translation Scaling parameter ‘m’ Translation parameter ‘n’
Identify structure   ,[object Object],[object Object],[object Object],[object Object],S m (32) (16)A m-1 D m-1 (16) D m-2 (8) (8)A m-2 (4)A m-3 D m-3 (4) + Noise Trend Transient map
Well Model   ,[object Object],[object Object],[object Object],Plot map at  various scales 15000 ft 15000 ft 15000 ft 15000 ft
Infer spatial variability 3 rd  time window 1 st  time window 4 th  time window 2 nd   time window ,[object Object],[object Object],[object Object]
Information Networking Sequential simulation Spread of information Spatial correlation Relation between them Simulated nodes Students & visitors Conditional data nodes Company representatives Geostatistical nomenclature Information Networking
Model spatial correlation ,[object Object],[object Object]
Sequential simulation
Simulated maps at various scales 3 rd  time window 1 st  time window 4 th  time window 2 nd   time window ,[object Object],[object Object],[object Object]
Reconstruction  ,[object Object],[object Object]
Summary ? ? Pressure data Wavelet decomp Coefficients At all wells Semivariogram ? Interpolation Maps Reconstruction
Advantages ,[object Object],[object Object],[object Object]
Questions?

More Related Content

What's hot

DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...
DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...
DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...Deltares
 
05 modello idrologico_bacini_rocciosi_di_testata_en
05 modello idrologico_bacini_rocciosi_di_testata_en05 modello idrologico_bacini_rocciosi_di_testata_en
05 modello idrologico_bacini_rocciosi_di_testata_enCIAT
 
Pierdicca-Igarss2011_july2011.ppt
Pierdicca-Igarss2011_july2011.pptPierdicca-Igarss2011_july2011.ppt
Pierdicca-Igarss2011_july2011.pptgrssieee
 
Nwp performance gonu Tropical Cyclone conference
Nwp performance gonu Tropical Cyclone conferenceNwp performance gonu Tropical Cyclone conference
Nwp performance gonu Tropical Cyclone conferenceSultan AL-Yahyai
 
Flood frequency analysis
Flood frequency analysisFlood frequency analysis
Flood frequency analysisSanjan Banerjee
 
DSD-INT 2016 The eWaterCyle global Hydrological forecasting system - Drost
DSD-INT 2016 The eWaterCyle global Hydrological forecasting system - DrostDSD-INT 2016 The eWaterCyle global Hydrological forecasting system - Drost
DSD-INT 2016 The eWaterCyle global Hydrological forecasting system - DrostDeltares
 
DMUG 2016 - Prof. Alan Robins, University of Surrey
DMUG 2016 - Prof. Alan Robins, University of SurreyDMUG 2016 - Prof. Alan Robins, University of Surrey
DMUG 2016 - Prof. Alan Robins, University of SurreyIES / IAQM
 
DSD-INT 2018 River Temperature Modeling, USA - Boyington
DSD-INT 2018 River Temperature Modeling, USA - BoyingtonDSD-INT 2018 River Temperature Modeling, USA - Boyington
DSD-INT 2018 River Temperature Modeling, USA - BoyingtonDeltares
 
DSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De Goede
DSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De GoedeDSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De Goede
DSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De GoedeDeltares
 
FR1.T03.2 Zou_IGARSS_2011.ppt
FR1.T03.2 Zou_IGARSS_2011.pptFR1.T03.2 Zou_IGARSS_2011.ppt
FR1.T03.2 Zou_IGARSS_2011.pptgrssieee
 
DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...
DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...
DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...Deltares
 
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equation
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equationUnsteady radial flow in a confined aquifer Nonequilibrium well pumping equation
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equationNaresh Kumar
 

What's hot (19)

DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...
DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...
DSD-INT 2017 The unsaturated zone MetaSWAP-package, recent developments - Van...
 
05 modello idrologico_bacini_rocciosi_di_testata_en
05 modello idrologico_bacini_rocciosi_di_testata_en05 modello idrologico_bacini_rocciosi_di_testata_en
05 modello idrologico_bacini_rocciosi_di_testata_en
 
Pierdicca-Igarss2011_july2011.ppt
Pierdicca-Igarss2011_july2011.pptPierdicca-Igarss2011_july2011.ppt
Pierdicca-Igarss2011_july2011.ppt
 
Nwp performance gonu Tropical Cyclone conference
Nwp performance gonu Tropical Cyclone conferenceNwp performance gonu Tropical Cyclone conference
Nwp performance gonu Tropical Cyclone conference
 
Flood frequency analysis
Flood frequency analysisFlood frequency analysis
Flood frequency analysis
 
Presentation
PresentationPresentation
Presentation
 
DSD-INT 2016 The eWaterCyle global Hydrological forecasting system - Drost
DSD-INT 2016 The eWaterCyle global Hydrological forecasting system - DrostDSD-INT 2016 The eWaterCyle global Hydrological forecasting system - Drost
DSD-INT 2016 The eWaterCyle global Hydrological forecasting system - Drost
 
ESA_smpehle_16October2015
ESA_smpehle_16October2015ESA_smpehle_16October2015
ESA_smpehle_16October2015
 
ADNOC_Simulation_Challenges
ADNOC_Simulation_ChallengesADNOC_Simulation_Challenges
ADNOC_Simulation_Challenges
 
MUSE
MUSEMUSE
MUSE
 
Fluvial response to climate change
Fluvial response to climate changeFluvial response to climate change
Fluvial response to climate change
 
DMUG 2016 - Prof. Alan Robins, University of Surrey
DMUG 2016 - Prof. Alan Robins, University of SurreyDMUG 2016 - Prof. Alan Robins, University of Surrey
DMUG 2016 - Prof. Alan Robins, University of Surrey
 
DSD-INT 2018 River Temperature Modeling, USA - Boyington
DSD-INT 2018 River Temperature Modeling, USA - BoyingtonDSD-INT 2018 River Temperature Modeling, USA - Boyington
DSD-INT 2018 River Temperature Modeling, USA - Boyington
 
DSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De Goede
DSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De GoedeDSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De Goede
DSD-INT 2018 Delft3D FM - validation of hydrodynamics (2D,3D) - De Goede
 
FR1.T03.2 Zou_IGARSS_2011.ppt
FR1.T03.2 Zou_IGARSS_2011.pptFR1.T03.2 Zou_IGARSS_2011.ppt
FR1.T03.2 Zou_IGARSS_2011.ppt
 
Chromatography
ChromatographyChromatography
Chromatography
 
DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...
DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...
DSD-INT 2018 Morphodynamic evolution of tidal inlet systems using Delft3D FM:...
 
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equation
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equationUnsteady radial flow in a confined aquifer Nonequilibrium well pumping equation
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equation
 
ForceAbstract110902
ForceAbstract110902ForceAbstract110902
ForceAbstract110902
 

Similar to Geostatistical Space Time Modeling

Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...
Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...
Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...Putika Ashfar Khoiri
 
DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...
DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...
DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...Deltares
 
dahlstrom_doherty_MODFLOW98
dahlstrom_doherty_MODFLOW98dahlstrom_doherty_MODFLOW98
dahlstrom_doherty_MODFLOW98Dave Dahlstrom
 
Abstract_Dissertation
Abstract_DissertationAbstract_Dissertation
Abstract_DissertationAmir Norouzi
 
Abstract with Work Index
Abstract with Work IndexAbstract with Work Index
Abstract with Work IndexJignesh Thaker
 
IGARSS2011_DInSAR_MORRISON.ppt
IGARSS2011_DInSAR_MORRISON.pptIGARSS2011_DInSAR_MORRISON.ppt
IGARSS2011_DInSAR_MORRISON.pptgrssieee
 
DSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallaties
DSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallatiesDSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallaties
DSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallatiesDeltares
 
Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...
Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...
Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...Tarun Kumar
 
Analytical modelling of groundwater wells and well systems: how to get it r...
Analytical modelling of  groundwater wells and well systems:  how to get it r...Analytical modelling of  groundwater wells and well systems:  how to get it r...
Analytical modelling of groundwater wells and well systems: how to get it r...Anton Nikulenkov
 
New Methods to Spatially Extend Thermal Response Test Assessments
New Methods to Spatially Extend Thermal Response Test AssessmentsNew Methods to Spatially Extend Thermal Response Test Assessments
New Methods to Spatially Extend Thermal Response Test AssessmentsJasmin Raymond
 
Rodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.pptRodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.pptgrssieee
 
Rodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.pptRodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.pptgrssieee
 
Implementation of Wilcox k − ω model to UCNS3D
Implementation of Wilcox k − ω model to UCNS3DImplementation of Wilcox k − ω model to UCNS3D
Implementation of Wilcox k − ω model to UCNS3DArpit Aggarwal
 
Jwrhe10065 20150204-144509-1366-46826
Jwrhe10065 20150204-144509-1366-46826Jwrhe10065 20150204-144509-1366-46826
Jwrhe10065 20150204-144509-1366-46826yimer mulate
 
McGill Ozone Contactor Design Project
McGill Ozone Contactor Design ProjectMcGill Ozone Contactor Design Project
McGill Ozone Contactor Design ProjectNicholas Mead-Fox
 

Similar to Geostatistical Space Time Modeling (20)

Hydrological Modelling of Slope Stability
Hydrological Modelling of Slope StabilityHydrological Modelling of Slope Stability
Hydrological Modelling of Slope Stability
 
Final-Thesis-present.pptx
Final-Thesis-present.pptxFinal-Thesis-present.pptx
Final-Thesis-present.pptx
 
Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...
Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...
Improving Distributed Hydrologocal Model Simulation Accuracy Using Polynomial...
 
DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...
DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...
DSD-INT 2017 Vegetated Flow Simulation using Delft3D for a Large-scale Outdoo...
 
dahlstrom_doherty_MODFLOW98
dahlstrom_doherty_MODFLOW98dahlstrom_doherty_MODFLOW98
dahlstrom_doherty_MODFLOW98
 
Abstract_Dissertation
Abstract_DissertationAbstract_Dissertation
Abstract_Dissertation
 
Abstract with Work Index
Abstract with Work IndexAbstract with Work Index
Abstract with Work Index
 
IGARSS2011_DInSAR_MORRISON.ppt
IGARSS2011_DInSAR_MORRISON.pptIGARSS2011_DInSAR_MORRISON.ppt
IGARSS2011_DInSAR_MORRISON.ppt
 
DSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallaties
DSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallatiesDSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallaties
DSD-NL 2015, Geo Klantendag D-Series, 5 Grote deformaties bij paalinstallaties
 
Briaud2001
Briaud2001Briaud2001
Briaud2001
 
Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...
Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...
Electro-acoustic coupling in porous oil-water two-phase systems: Role of liqu...
 
Analytical modelling of groundwater wells and well systems: how to get it r...
Analytical modelling of  groundwater wells and well systems:  how to get it r...Analytical modelling of  groundwater wells and well systems:  how to get it r...
Analytical modelling of groundwater wells and well systems: how to get it r...
 
New Methods to Spatially Extend Thermal Response Test Assessments
New Methods to Spatially Extend Thermal Response Test AssessmentsNew Methods to Spatially Extend Thermal Response Test Assessments
New Methods to Spatially Extend Thermal Response Test Assessments
 
Lecture22012.pptx
Lecture22012.pptxLecture22012.pptx
Lecture22012.pptx
 
Rodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.pptRodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.ppt
 
Rodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.pptRodriguez_et_al_SWOT_IGARSS2011.ppt
Rodriguez_et_al_SWOT_IGARSS2011.ppt
 
Implementation of Wilcox k − ω model to UCNS3D
Implementation of Wilcox k − ω model to UCNS3DImplementation of Wilcox k − ω model to UCNS3D
Implementation of Wilcox k − ω model to UCNS3D
 
Jwrhe10065 20150204-144509-1366-46826
Jwrhe10065 20150204-144509-1366-46826Jwrhe10065 20150204-144509-1366-46826
Jwrhe10065 20150204-144509-1366-46826
 
McGill Ozone Contactor Design Project
McGill Ozone Contactor Design ProjectMcGill Ozone Contactor Design Project
McGill Ozone Contactor Design Project
 
Chaos Soliton Paper
Chaos Soliton PaperChaos Soliton Paper
Chaos Soliton Paper
 

Geostatistical Space Time Modeling