April 2015 WHITE PAPER Drillinginfo Graded Acreage Philosophy Understanding Productive Quality of Reservoir Zones in Unconventional Hydrocarbon Plays subsurface composition. However, while the underlying Summary geology is critical to production outcomes, drilling and As unconventional oil and gas play development con- completion operations may also significantly influ- tinues to expand across the United States, these plays ence production, independent of the reservoir quality. demonstrate significant heterogeneity between the If an operator uses poor techniques or the wrong ap- sweet spots and the fringe areas. Drawing on a rich data- proach to drilling and completing a well, the well may set of geologic parameters and production outcomes, experience low production even if it is located in a high Drillinginfo’s Geology and Analytics teams perform quality area of the reservoir. Therefore, operators and comprehensive subsurface analyses and advanced investors must closely study these two primary drivers statistical modeling to qualify the productivity of the res- of productivity, the geologic variables and the opera- ervoir rock and assign grades tional variables, and determine to the acreage for each pro- the independent effects of each ductive interval within a play. The graded acreage provides a guideline for strategic decisions around acquiring, consolidating and drilling lease positions. In addition, graded acreage enables benchmarking of operator performance and completion techniques “...operators and investors must closely study these two drivers of productivity, the geologic variables and the operational variables, and determine the independent effects of each one on production.” one on production. Drillinginfo’s Geology and Analytics teams solve this problem by creating a Graded Acreage map that defines the quality of production for the reservoir zone independent of the way the wells were (or will be) within the context of similar res- drilled and completed. Drilling- ervoir quality. info’s teams isolate the influence of the geologic variables by fixing the operational Introduction variables as though all wells were drilled and completed the same way. The resulting predicted production As oil and gas producers evaluate assets, they need to thus reflects only the variation in geologic conditions1, identify the most productive drilling locations indicated by the reservoir quality. Much time and money is invested in developing a thorough understanding of the 1 The absolute values of the predicted production will be a function of the fixed operational values chosen for the model, but the relative values of the predicted production remain the same. 1 WHITE PAPER enabling the Drillinginfo teams to quantify the relation- variables (independent variables) to known produc- ship and develop maps grading the acreage quality of a tion (dependent variables). The Graded Acreage solu- reservoir at a one square mile resolution. tion utilizes the statistical relationship between input variables and known production to predict production across the play at one square mile resolution, and then Methodology categorizes results into letter grades A through J (“A” is The Drillinginfo Geology and Analytics teams use highest production and “J” is lowest). established interpolation methods, combined with multivariate statistical modeling and data valida- Figure 1 shows the six steps to the grading solution, tion techniques, to relate geologic and operational which are described in more detail below. DI Geology Steps 1 - 3 1. Identify candidate data sources - Production metrics - Completion data - Geologic data 2. Interpret geology at target and bounding formations DI Analytics Steps 4 - 6 4. Build statistical model to predict production --Production Control for metrics variation in completion methods --Completion data Control for over-fitting - Geologic data 5. Test and validate model - Perform out of sample validations - Refine LAS data - Identify stratigraphic framework 3. Interpolate geology data and assign data to producing wells - Thin-plate spline, b-spline, kriging and inverse distance weighting 6. Assign grades - Bin predicted production - Categorize into grades at one square mile resolution Figure 1: Graded Acreage Workflow 2 WHITE PAPER (1) Identify Candidate Data Sources only lateral lengths and azimuth, yet these serve as For a given play, two datasets are required for the reliable predictors of production outcomes and the model analysis: production and geologic wells. Production generates robust results because operational practices wells provide gas and oil production volumes and op- are more uniform. In the Bakken, lateral lengths are erational variables as reported to state regulatory clustered at 5,000 and 10,000 feet, and therefore the sta- agencies. Geologic wells contribute information mea- tistical modeling utilizes additional operational variables sured via well logs submitted to state regulatory agen- to accurately assess production, including proppant cies. Drillinginfo digitizes the well logs into log ASCII type and volume, number of stages, fluid type and standard (LAS) files. Further details about the datasets volume, and azimuths. are as follows: (2) Interpret Geology • Geologic wells: The datasets include approxi- From the LAS files, the Drillinginfo Geology team interprets mately 2,200, 1,070 and 1,950 LAS files for the Bak- geologic parameters at the target and bounding formations: ken, Barnett and Eagleford, respectively. average and standard deviation resistivity, formation depth, • Production wells: The datasets include horizontal, formation thickness, rock properties, organic context, and vertical and directional wells that have at least other variables. As a specific example, the team interprets three months of production reported from the the following geologic parameters for the Eagleford shale: pertinent reservoirs. In states like Texas, where production is reported at the lease level, the • Formation depth for Austin Chalk, Upper wells are required to be one well on a lease to Eagleford, Lower Eagleford, Buda and Edwards. avoid concerns regarding allocated production The formation surfaces are chosen using methodologies. Well coverage includes 10,000 sequence stratigraphic techniques. wells in the Bakken with first production as of January 2004 or later, 18,000 wells in the Barnett with first production as of January 2004 or later, and 12,000 wells in the Eagleford with first production as of January 2007 or later. Approximately 80% of the production wells in each area are used for the regression modeling, and the remaining wells are used to cross-validate the model results. • Formation thickness for the five formations mentioned above. • Gamma ray average and standard deviation across the Upper and Lower Eagleford. • Net feet having gamma ray greater than 75 for the Upper and Lower Eagleford. • Average and standard deviation resistivity measured by Deep Induction Log (ILD), neutron porosity (NPHI), and bulk density (RHOB) for the Upper The operational variables employed in the model depend and Lower Eagleford formations. on the play and the variance of drilling and completion techniques within a play. The predictive statistical mod- The geologic parameters (g1, …, gN) are determined eling for the Eagleford and the Barnett incorporates for each well (well 1, well 2,…, well 3) at the target 3 WHITE PAPER Well Pmax g1 (x,y,z) g 2 (x,y,z) ... g N (x,y,z) e 1 (x,y,z) e 2 (x,y,z) ... e N (x,y,z) (4) Build Multivariate Statistical Model 1 The production wells contribute produc- 2 tion volumes that are used to compute 3 the production measure, or dependent variable, P, of a location of a possible Select subset of wells Remaining wells are out of sample and used for testing and validation well. The Production Measure is any specified function of a well’s production characteristics, such as initial rate, maximum monthly rate, six month cu- Perform regression using b-spline mulative production, etc. The Analytics team uses the maximum monthly Optimize regression variables production, which typically occurs in the second month of a well’s produc- Resulting Model Output P (predicted production measure) Figure 2: Regression Methodology tion, as the predicted production measure. The model is run for three distinct maximum rates: oil, gas and barrel of oil equivalent (BOE) using a and bounding formations within the area of interest. 20:1 ratio of gas to oil. For BOE, Pmax Once the geologic parameters are compiled, they un- is defined as follows: Pmax = Omax + 20*Gmax, where dergo statistical data exploration processes including Omax and Gmax are, respectively, the maximum monthly analysis of data quality, histograms, and outliers. oil and gas production in any month for a well since the well began producing. (3) Interpolate Geologic Parameters Using the geologic parameters described above for each well, the Geology team interpolates geologic data using thin-plate spline and B-spline approximations, kriging and inverse distance weighting. This process generates a set of functions Fg1(x,y,z), Fg2(x,y,z), …, FgN(x,y,z) which estimates the geologic values across geographic locations. In addition, the team employs an algorithmic process to define where the formations pinch out, and ensure that physical constraints of Using the geologic parameters described in section (3) above, the Analytics team builds a robust advanced linear regression model using b-spline basis functions2 to relate the Production Measure, P, of each production well to the set of estimated geologic parameters. The regression model also includes variables related to operational data, such as lateral length, azimuth and well spacing. Figure 2 illustrates the regression inputs, methodology and outputs. geological surfaces are honored (i.e., one geologic surface never crosses another geologic surface although two surfaces may touch). 2 This process is documented in Hastie, T.J. (1992) Generalized Additive Models, Chapter 7 of Statistical Models in S eds J.M. Chambers and T.J. Hastie, Wadsworth & Brooks/Cole. 4 WHITE PAPER In total, the model tests over 100 variables, however, process can be accurately graded to predict production, in order to prevent over-fitting of the model, it is and that the model does not over-fit the data. desirable to limit the regression terms. The Analytics team employs an algorithmic variable optimization (6) Assign Grades process to determine which variables to include. The Once the production measure is generated for each approach4 is as follows: well location, the model estimates production on a 3 one square mile resolution. Within a square mile, the • Identify the single regression term that created the highest r-squared in a linear model; geologic parameters are relatively constant, so these parameters are input into the statistical model to • Identify the next variable which, when combined generate an expected peak month production value with the first variable, created the highest 2- for that cell. Then the Analytics team uses equal width variable r-squared linear model; and binning5 to generate eight bins for the production wells, • Continue this process until approximately ten variables are chosen. each one designated by a letter “grade”, A through J. A corresponds to the highest production values, and J corresponds to lowest production. These grades can Once the variables are determined, the predictive model be color-coded to create maps of shale plays, like the generates the estimated maximum monthly production Eagleford map in Figure 3 below. for each location. An (x,y) well location is input into the model, the process estimates geologic parameters using the interpolation functions described above (Fg1(x,y,z), Fg2(x,y,z), …, FgN(x,y,z), and then the advanced linear model estimates maximum production while fixing operational variables to assume that all wells are drilled and completed in an identical fashion. (5) Test and Validate Model The Analytics team cross-validates the model by running it on the out of sample wells to compare how well the predicted production matches actual production. Testing results verify that wells excluded from the model creation 3 This algorithmic strategy is discussed in Das et al., “Algorithms for Subset Selection in Linear Regression,” 40th ACM International Symposium on Theory of Computing (STOC ’08), May 17-20, 2008, pp. 45-54. 4 The optimization process includes advanced machine learning techniques such as discriminant analysis, principal component analysis, and forward/backward regression. Figure 3: Graded Acreage Map of the Eagleford Shale Play 5 Equal width binning divides the data results into k intervals of equal size. The width of intervals is: w = (max-min)/k and the interval boundaries are min+w, min+2w, …, min+(k-1)w. 5 WHITE PAPER With a grid of graded cells, a user can grade anything By incorporating graded acreage into the Analytics geographically related to the grid. For example, within products, geology teams are able to evaluate assets by the Analytics products, a permit to drill a new well is reviewing an intuitive “heat map” to distinguish core assigned a grade based on the grid cell correspond- versus non-core holdings, rank the relative quality of ing to the surface hole location of the proposed well. each, and identify where the greatest potential value Similarly, the Analytics team grades leased miner- exists. In addition, categorizing acreage by reservoir al tracts based on the grid cell corresponding to the quality provides business development teams and fi- center of the lease polygon. nancial investors with a refined benchmarking process to identify both outstanding and marginal performers, as Application well as the ability to quantify the impact of different operational practices (e.g., spacing, proppant, stages, and Drillinginfo’s Graded Acreage identifies the locations of lateral lengths) on production. the most productive drilling opportunities. The methodology encompasses thorough understanding of subsurface composition, operational practices and well production, in order to generate a predictive, multivariate Learn more at www.drillinginfo.com statistical model that isolates the impact of reservoir quality on production while controlling for operational practices. 6 WHITE PAPER APPENDICES A. Map Leasehold Positions by Grade in the Bakken Focus your acreage search by zooming into a specific grade to view leasehold by operator assignment. Here we see lease polygons in a portion of grade A acreage. The next step is to filter the leases by expiring and active flags to help identify open acreage. 7 WHITE PAPER B. Map Rig Locations by Grade in the Eagleford Snapshot of rig locations on April 13, 2015 8 WHITE PAPER C. Analyze Operator Lateral Lengths in the Eagleford This scatterplot shows lateral lengths on the x-axis and 6 month cum oil (bbls) on the y-axis. This is for a specific Operator in the Eagleford for wells drilled since 1/2010. Coloring the same scatterplot by grade reveals a strategic approach to the Operator’s lateral lengths. The Operator drilled longer laterals in lower quality rock. 9 WHITE PAPER D. Compare Operator Productivity: Creaming Curves in the Bakken Despite these wells all being drilled in F grade acreage, we see a significant performance discrepancy across operators. Operators A and B are performing very well, whereas Operators C and D have lower productivity from their wells. Copyright © 2015, Drillinginfo, Inc. 10
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