{"id":2962716,"date":"2026-04-30T21:30:41","date_gmt":"2026-05-01T04:30:41","guid":{"rendered":"https:\/\/www.esri.com\/arcgis-blog\/?post_type=blog&#038;p=2962716"},"modified":"2026-04-30T21:30:41","modified_gmt":"2026-05-01T04:30:41","slug":"interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces","status":"publish","type":"blog","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces","title":{"rendered":"Interpolate borehole data to create aquifer top and base surfaces"},"author":9692,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","format":"standard","meta":{"_acf_changed":false,"_searchwp_excluded":""},"categories":[23771,22771,23051],"tags":[757981,781062,34131,781077,39061],"industry":[],"product":[36561],"class_list":["post-2962716","blog","type-blog","status-publish","format-standard","hentry","category-3d-gis","category-natural-resources","category-water","tag-aquifers","tag-boreholes","tag-interpolation","tag-radial-basis-functions","tag-subsurface","product-arcgis-pro"],"acf":{"authors":[{"ID":9692,"user_firstname":"Jie","user_lastname":"Chang","nickname":"Jie Chang","user_nicename":"jchang","display_name":"Jie Chang","user_email":"JChang@esri.com","user_url":"","user_registered":"2019-06-26 21:13:09","user_description":"Jie Chang is a Product Engineer on the 3D Analysis team at Esri. He specializes in 3D, lidar, imagery, spatial analysis, deep learning, and web GIS. He received his Ph.D. in Geospatial Information Sciences from the University of Texas at Dallas in 2011.","user_avatar":"<img alt='' src='https:\/\/secure.gravatar.com\/avatar\/eacefc002e3897dda4a2b5f63bfbf137b4ed80f8320c100664cf8ed1d5e4d0c4?s=96&#038;d=blank&#038;r=g' srcset='https:\/\/secure.gravatar.com\/avatar\/eacefc002e3897dda4a2b5f63bfbf137b4ed80f8320c100664cf8ed1d5e4d0c4?s=192&#038;d=blank&#038;r=g 2x' class='avatar avatar-96 photo' height='96' width='96' loading='lazy' decoding='async'\/>"}],"related_articles":"","show_article_image":false,"card_image":false,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/aquifer-banner.png","short_description":"Turn borehole data into aquifer surfaces using RBF interpolation in ArcGIS Pro with geologic constraints.","flexible_content":[{"acf_fc_layout":"content","content":"<p>Lillian Wang from the Delaware Geological Survey (DGS) and I developed an ArcGIS Tutorials lesson, <a href=\"https:\/\/learn.arcgis.com\/en\/projects\/create-a-3d-subsurface-visualization-of-aquifers\/\">Create a 3D subsurface visualization of aquifers<\/a>. The lesson walks through building 3D aquifer models from aquifer top and base elevation surfaces, sharing them to ArcGIS Online, and exploring them in a web app.<\/p>\n<p>To keep the lesson focused, we begin with pregenerated aquifer top and base surfaces. These surfaces are interpolated from borehole data using the <a href=\"https:\/\/pro.arcgis.com\/en\/pro-app\/latest\/help\/analysis\/geostatistical-analyst\/how-radial-basis-functions-work.htm#GUID-3F6EE7BD-30DE-494E-9007-B1519953A6CE\">Radial Basis Functions<\/a> (RBF) method in ArcGIS Pro. We use the Completely Regularized Spline kernel function, a spline-based approach similar to the Spline tool in Spatial Analyst and 3D Analyst. Because method selection and parameter tuning depend on geological conditions, data density, and spatial distribution\u2014and often require expert judgment\u2014the interpolation is not included in the tutorial.<\/p>\n<p>This blog article fills that gap. It explains how to perform aquifer interpolation in ArcGIS Pro using borehole data and the RBF method, including why RBF was selected, how parameters were set, and how geological knowledge guided the process.<\/p>\n<h3><strong>Convert borehole records to elevation points<\/strong><\/h3>\n<p>Geologists first interpreted each borehole record to identify the top and base of individual aquifers using geophysical logs and lithologic descriptions. These depth-to-contact values are then converted to elevation by subtracting depth from a high-resolution digital elevation model (DEM) referenced to NAVD88. The result is a set of point datasets representing aquifer top and base elevations.<\/p>\n<h3><strong>Why we chose RBF<\/strong><\/h3>\n<p>ArcGIS Pro provides several interpolation methods, including deterministic approaches such as RBF and geostatistical methods such as kriging and empirical bayesian kriging (EBK). The appropriate method depends on the modeling objective, data distribution, and geological context.<\/p>\n<p>In this case, the goal is to model aquifer surfaces that reflect marine shelf deposits\u2014units that are regionally extensive and gradually dipping.<\/p>\n<p>Kriging-based methods explicitly model spatial autocorrelation and provide prediction uncertainty. They are well suited for complex variability or when quantifying uncertainty is critical. However, they require careful semivariogram modeling and assumptions about stationarity.<\/p>\n<p>RBF, in contrast, provides a more direct and flexible approach. It produces smooth surfaces influenced by nearby data points. Therefore, for stratigraphically continuous aquifers with predictable regional dip, this approach performs well. It preserves regional smoothness while maintaining local control through neighborhood and anisotropy settings.<\/p>\n<p>We evaluated universal kriging and EBK alongside RBF. While all methods captured the regional trend, kriging-based surfaces depend strongly on the variogram, search neighborhood, and anisotropy settings. In this case, we selected RBF to produce smooth, laterally continuous aquifer surfaces consistent with the underlying geology.<\/p>\n<p>Overall, the final decision combined cross-validation results with geological plausibility. Interpolation generates a mathematical surface, but geology determines whether that surface is meaningful.<\/p>\n<h3><strong>Interpolate surfaces with RBF<\/strong><\/h3>\n<p>We use the Cheswold aquifer as an example to demonstrate how to interpolate its top surface from elevation points. The Geostatistical Wizard is used here for its interactive parameter tuning, although the RBF geoprocessing tool can produce equivalent results.<\/p>\n<p>You can use the same workflow by completing the following steps:<\/p>\n<p>Open the Geostatistical Wizard and select <strong>Radial Basis Functions<\/strong>.<\/p>\n<ul>\n<li>For<strong> Input Dataset,<\/strong>\u00a0this example uses <strong>cheswold_top_pts<\/strong>.<\/li>\n<li>For<strong> Data Field<\/strong>, this example uses <strong>ElTop.<\/strong><\/li>\n<\/ul>\n"},{"acf_fc_layout":"image","image":{"ID":2962729,"id":2962729,"title":"Radial Basis Functions (RBF)","filename":"RBF.png","filesize":103843,"url":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF.png","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\/rbf","alt":"Select RBF method in the Geostatistical Wizard for surface interpolation.","author":"9692","description":"","caption":"Figure 1: Radial Basis Functions is selected in the Geostatistical Wizard to create a smooth interpolation surface.","name":"rbf","status":"inherit","uploaded_to":2962716,"date":"2026-04-15 18:59:12","modified":"2026-05-01 03:34:48","menu_order":0,"mime_type":"image\/png","type":"image","subtype":"png","icon":"https:\/\/www.esri.com\/arcgis-blog\/wp-includes\/images\/media\/default.png","width":1139,"height":816,"sizes":{"thumbnail":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-213x200.png","thumbnail-width":213,"thumbnail-height":200,"medium":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF.png","medium-width":364,"medium-height":261,"medium_large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF.png","medium_large-width":768,"medium_large-height":550,"large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF.png","large-width":1139,"large-height":816,"1536x1536":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF.png","1536x1536-width":1139,"1536x1536-height":816,"2048x2048":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF.png","2048x2048-width":1139,"2048x2048-height":816,"card_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-649x465.png","card_image-width":649,"card_image-height":465,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF.png","wide_image-width":1139,"wide_image-height":816}},"image_position":"center","orientation":"horizontal","hyperlink":""},{"acf_fc_layout":"content","content":"<p>Click <strong>Next<\/strong> to continue and set the properties for the kernel.<\/p>\n<ul>\n<li>For<strong> Kernel Function<\/strong>, this example uses <strong>Completely Regularized,<\/strong> which is the smoothest option.<\/li>\n<li>For<strong> Kernel Parameter<\/strong>, use the automatically estimated value and adjust only if necessary.<\/li>\n<\/ul>\n<p>To manage uneven data density, define a local neighborhood:<\/p>\n<ul>\n<li>For <strong>Maximum Neighbors<\/strong>, this example uses <strong>15.<\/strong><\/li>\n<li>For<strong> Minimum Neighbors<\/strong>, this example uses <strong>10.<\/strong><\/li>\n<\/ul>\n<p>This configuration balances local control and regional smoothness. Too few neighbors may introduce noise, while too many may over-smooth geological features.<\/p>\n<p>To honor the directional trend, define an anisotropic search neighborhood:<\/p>\n<ul>\n<li>For<strong> Sector Type<\/strong>, this example uses <strong>4 Sectors.<\/strong><\/li>\n<li>For<strong> Angle<\/strong>, this example uses <strong>67 <\/strong>(WSW\u2013ENE strike).<\/li>\n<li>For<strong> Major<\/strong> <strong>Semiaxis<\/strong>, this example uses<strong> 10,000<\/strong>.<\/li>\n<li>For<strong> Minor Semiaxis<\/strong>, this example uses <strong>6,000<\/strong>.<\/li>\n<\/ul>\n<p>The search neighborhood is oriented perpendicular to the data trend, emphasizing continuity along strike and reducing influence across dip.<\/p>\n"},{"acf_fc_layout":"image","image":{"ID":2964071,"id":2964071,"title":"RBF Neighborhood and Anisotropy Settings","filename":"wizard-settings_2.png","filesize":86125,"url":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2.png","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\/wizard-settings_2","alt":"Configure the RBF neighborhood and anisotropy","author":"9692","description":"","caption":"Figure 2: The search neighborhood is elongated along the strike direction. ","name":"wizard-settings_2","status":"inherit","uploaded_to":2962716,"date":"2026-04-28 02:10:42","modified":"2026-04-28 02:16:02","menu_order":0,"mime_type":"image\/png","type":"image","subtype":"png","icon":"https:\/\/www.esri.com\/arcgis-blog\/wp-includes\/images\/media\/default.png","width":950,"height":683,"sizes":{"thumbnail":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2-213x200.png","thumbnail-width":213,"thumbnail-height":200,"medium":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2.png","medium-width":363,"medium-height":261,"medium_large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2.png","medium_large-width":768,"medium_large-height":552,"large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2.png","large-width":950,"large-height":683,"1536x1536":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2.png","1536x1536-width":950,"1536x1536-height":683,"2048x2048":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2.png","2048x2048-width":950,"2048x2048-height":683,"card_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2-647x465.png","card_image-width":647,"card_image-height":465,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/wizard-settings_2.png","wide_image-width":950,"wide_image-height":683}},"image_position":"center","orientation":"horizontal","hyperlink":""},{"acf_fc_layout":"content","content":"<p>Click <strong>Next<\/strong>.<\/p>\n<h3><strong>Evaluate the model<\/strong><\/h3>\n<p>The model was evaluated using leave-one-out cross-validation and showed the following results:<\/p>\n<ul>\n<li data-section-id=\"1sqh7uc\" data-start=\"4755\" data-end=\"4823\">Comparing the predicted and measured plot shows strong alignment along the 1:1 line.<\/li>\n<li data-section-id=\"l584bv\" data-start=\"4824\" data-end=\"4883\">The regression slope slightly greater than 1 indicates mild smoothing.<\/li>\n<li data-section-id=\"nvu4nn\" data-start=\"4884\" data-end=\"4922\">The mean error of around 0.6 feet shows minimal bias.<\/li>\n<li data-section-id=\"qbl5jd\" data-start=\"4923\" data-end=\"4977\">The root mean square error of around 13 feet is consistent with expected uncertainty.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n"},{"acf_fc_layout":"image","image":{"ID":2964073,"id":2964073,"title":"Cross validation results","filename":"cross-validation-2.png","filesize":80541,"url":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2.png","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\/cross-validation-2","alt":"Cross-validation results showing predicted versus measured values with points clustered near the 1:1 line, indicating good model fit.","author":"9692","description":"","caption":"Figure 3: Cross-validation shows predicted values closely match measured values, indicating a good fit with minimal bias.","name":"cross-validation-2","status":"inherit","uploaded_to":2962716,"date":"2026-04-28 02:21:42","modified":"2026-04-28 02:22:31","menu_order":0,"mime_type":"image\/png","type":"image","subtype":"png","icon":"https:\/\/www.esri.com\/arcgis-blog\/wp-includes\/images\/media\/default.png","width":954,"height":682,"sizes":{"thumbnail":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2-213x200.png","thumbnail-width":213,"thumbnail-height":200,"medium":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2.png","medium-width":365,"medium-height":261,"medium_large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2.png","medium_large-width":768,"medium_large-height":549,"large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2.png","large-width":954,"large-height":682,"1536x1536":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2.png","1536x1536-width":954,"1536x1536-height":682,"2048x2048":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2.png","2048x2048-width":954,"2048x2048-height":682,"card_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2-650x465.png","card_image-width":650,"card_image-height":465,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/cross-validation-2.png","wide_image-width":954,"wide_image-height":682}},"image_position":"center","orientation":"horizontal","hyperlink":""},{"acf_fc_layout":"content","content":"<p>The residual plot shows errors centered near zero with a weak linear trend, indicating stable variance and no overfitting.<\/p>\n<p>Overall, the selected parameters produce a stable, regionally consistent aquifer surface.<\/p>\n"},{"acf_fc_layout":"image","image":{"ID":2964075,"id":2964075,"title":"Cross-Validation Errors","filename":"error-2.png","filesize":110680,"url":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2.png","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\/error-2-2","alt":"Cross-validation error plot showing residuals versus measured values with a slight negative trend indicating potential bias.","author":"9692","description":"","caption":"Figure 4: Residuals show a slight trend, suggesting minor bias, but overall errors remain reasonably distributed.","name":"error-2-2","status":"inherit","uploaded_to":2962716,"date":"2026-04-28 02:26:19","modified":"2026-04-28 02:27:01","menu_order":0,"mime_type":"image\/png","type":"image","subtype":"png","icon":"https:\/\/www.esri.com\/arcgis-blog\/wp-includes\/images\/media\/default.png","width":954,"height":682,"sizes":{"thumbnail":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2-213x200.png","thumbnail-width":213,"thumbnail-height":200,"medium":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2.png","medium-width":365,"medium-height":261,"medium_large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2.png","medium_large-width":768,"medium_large-height":549,"large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2.png","large-width":954,"large-height":682,"1536x1536":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2.png","1536x1536-width":954,"1536x1536-height":682,"2048x2048":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2.png","2048x2048-width":954,"2048x2048-height":682,"card_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2-650x465.png","card_image-width":650,"card_image-height":465,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/error-2.png","wide_image-width":954,"wide_image-height":682}},"image_position":"center","orientation":"horizontal","hyperlink":""},{"acf_fc_layout":"content","content":"<p>Click <strong>Finish<\/strong> and <strong>OK<\/strong>. A geostatistical layer is added to the map.<\/p>\n"},{"acf_fc_layout":"image","image":{"ID":2964076,"id":2964076,"title":"Geostatistical layer","filename":"GA-layer-2.png","filesize":56861,"url":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2.png","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\/ga-layer-2","alt":"Interpolated RBF surface showing a smooth gradient with sample points overlaid.","author":"9692","description":"","caption":"Figure 5: The RBF interpolation produces a smooth, continuous surface that captures the regional trend of the aquifer top while honoring the borehole data.","name":"ga-layer-2","status":"inherit","uploaded_to":2962716,"date":"2026-04-28 02:30:29","modified":"2026-04-28 04:36:03","menu_order":0,"mime_type":"image\/png","type":"image","subtype":"png","icon":"https:\/\/www.esri.com\/arcgis-blog\/wp-includes\/images\/media\/default.png","width":652,"height":571,"sizes":{"thumbnail":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2-213x200.png","thumbnail-width":213,"thumbnail-height":200,"medium":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2.png","medium-width":298,"medium-height":261,"medium_large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2.png","medium_large-width":652,"medium_large-height":571,"large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2.png","large-width":652,"large-height":571,"1536x1536":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2.png","1536x1536-width":652,"1536x1536-height":571,"2048x2048":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2.png","2048x2048-width":652,"2048x2048-height":571,"card_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2-531x465.png","card_image-width":531,"card_image-height":465,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GA-layer-2.png","wide_image-width":652,"wide_image-height":571}},"image_position":"center","orientation":"horizontal","hyperlink":""},{"acf_fc_layout":"content","content":"<h3><strong>Export the geostatistical layer to a raster<\/strong><\/h3>\n<p>To export the geostatistical layer to a raster, complete the following steps:<\/p>\n<p>Right click the layer and select <strong>Export Layer<\/strong> &gt; <strong>To Rasters<\/strong>.<\/p>\n<ul>\n<li data-section-id=\"1r248gm\" data-start=\"5367\" data-end=\"5388\">Set <strong>Output raster.<\/strong><\/li>\n<li data-section-id=\"1nrk35v\" data-start=\"5389\" data-end=\"5413\">Set <strong>Output cell size<\/strong> to <strong>100.<\/strong><\/li>\n<li data-section-id=\"35h7yw\" data-start=\"5414\" data-end=\"5445\">On the <strong>Environments<\/strong> tab, define the <strong>Mask<\/strong> value.<\/li>\n<\/ul>\n"},{"acf_fc_layout":"image","image":{"ID":2962737,"id":2962737,"title":"Export geostatistical layer to raster","filename":"GP-tool-settings.png","filesize":61903,"url":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings.png","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\/gp-tool-settings","alt":"Convert the RBF geostatistical layer to a raster using GA Layer To Rasters tool.","author":"9692","description":"","caption":"Figure 6: The tool will convert the geostatistical layer to a raster and apply a mask to limit the output to the boundary.","name":"gp-tool-settings","status":"inherit","uploaded_to":2962716,"date":"2026-04-15 19:37:28","modified":"2026-05-01 03:55:09","menu_order":0,"mime_type":"image\/png","type":"image","subtype":"png","icon":"https:\/\/www.esri.com\/arcgis-blog\/wp-includes\/images\/media\/default.png","width":999,"height":873,"sizes":{"thumbnail":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings-213x200.png","thumbnail-width":213,"thumbnail-height":200,"medium":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings.png","medium-width":299,"medium-height":261,"medium_large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings.png","medium_large-width":768,"medium_large-height":671,"large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings.png","large-width":999,"large-height":873,"1536x1536":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings.png","1536x1536-width":999,"1536x1536-height":873,"2048x2048":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings.png","2048x2048-width":999,"2048x2048-height":873,"card_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings-532x465.png","card_image-width":532,"card_image-height":465,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/GP-tool-settings.png","wide_image-width":999,"wide_image-height":873}},"image_position":"center","orientation":"horizontal","hyperlink":""},{"acf_fc_layout":"content","content":"<p>Click <strong>Run<\/strong>.<\/p>\n<p>The resulting raster is clipped to the study boundary.<\/p>\n"},{"acf_fc_layout":"image","image":{"ID":2964077,"id":2964077,"title":"Clipped RBF raster","filename":"RBF-raster-2.png","filesize":122945,"url":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2.png","link":"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\/rbf-raster-2","alt":"Final RBF interpolated raster clipped to the boundary.","author":"9692","description":"","caption":"Figure 7: The final raster is clipped to the boundary.","name":"rbf-raster-2","status":"inherit","uploaded_to":2962716,"date":"2026-04-28 02:34:24","modified":"2026-04-28 02:35:04","menu_order":0,"mime_type":"image\/png","type":"image","subtype":"png","icon":"https:\/\/www.esri.com\/arcgis-blog\/wp-includes\/images\/media\/default.png","width":656,"height":570,"sizes":{"thumbnail":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2-213x200.png","thumbnail-width":213,"thumbnail-height":200,"medium":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2.png","medium-width":300,"medium-height":261,"medium_large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2.png","medium_large-width":656,"medium_large-height":570,"large":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2.png","large-width":656,"large-height":570,"1536x1536":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2.png","1536x1536-width":656,"1536x1536-height":570,"2048x2048":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2.png","2048x2048-width":656,"2048x2048-height":570,"card_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2-535x465.png","card_image-width":535,"card_image-height":465,"wide_image":"https:\/\/www.esri.com\/arcgis-blog\/app\/uploads\/2026\/04\/RBF-raster-2.png","wide_image-width":656,"wide_image-height":570}},"image_position":"center","orientation":"horizontal","hyperlink":""},{"acf_fc_layout":"content","content":"<h3><strong>Postprocessing and validation<\/strong><\/h3>\n<p>Interpolation produces a smooth mathematical surface, but geology follows physical rules. Postprocessing ensures stratigraphic consistency.<\/p>\n<p>Core geologic constraints include the following:<\/p>\n<ul>\n<li>Topographic constraint\u2014Keep aquifer below the ground surface and river bottoms.<\/li>\n<li>Superposition enforcement\u2014Ensure older units remain below younger units.<\/li>\n<li>Lithostratigraphic buffering\u2014Constrain aquifers within their parent formations.<\/li>\n<li>Lateral extent masking\u2014Prevent extrapolation beyond known boundaries.<\/li>\n<\/ul>\n<p>These steps can be implemented using the <strong>Raster Calculator<\/strong> and <strong>Clip Raster<\/strong> tools in ArcGIS Pro.<\/p>\n<p>Afterward, perform residual analysis by comparing predicted raster values with observed borehole data. Residuals near zero indicate strong agreement, while larger residuals may indicate data noise, interpretation uncertainty, or unmodeled features such as faults or facies changes.<\/p>\n<h3><strong>Summary<\/strong><\/h3>\n<p>Interpolation provides the mathematical framework for transforming borehole data into continuous surfaces, but geological reasoning ensures those surfaces are meaningful.<\/p>\n<p>In practice, aquifer interpolation in ArcGIS Pro combines anisotropic RBF with geologic constraints and residual validation. Together, these components ensure that the resulting models honor both data and stratigraphy.<\/p>\n<p>As a result, this workflow turns scattered well records into a coherent, defensible 3D understanding of the subsurface.<\/p>\n"},{"acf_fc_layout":"content","content":"<h3><strong>Acknowledgments<\/strong><\/h3>\n<p>Thanks to the Delaware Geological Survey for the data and workflow.<\/p>\n<p>Thanks to Peter P. McLaughlin, director of DGS and Delaware state geologist, for his valuable insights and expertise. His perspective helps bridge geological practice and GIS workflows, providing GIS users with a clearer understanding of subsurface interpolation. We also thank Tom McKenna and Changming He (DGS), and Eric Krause and Alexander Gribov (Esri) for their review, which helped ensure the accuracy of the content.<\/p>\n<h3><strong>References<\/strong><\/h3>\n<p><a href=\"https:\/\/udspace.udel.edu\/items\/bfe0f69f-9caa-4ad3-8169-d6b8d1fb30c2\">Aquifers and groundwater withdrawals, Kent and Sussex counties, Delaware<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n"}]},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v25.9) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Interpolate borehole data to create aquifer top and base surfaces<\/title>\n<meta name=\"description\" content=\"Build aquifer surfaces from well data using RBF interpolation in ArcGIS Pro, guided by geologic constraints and validation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Interpolate borehole data to create aquifer top and base surfaces\" \/>\n<meta property=\"og:description\" content=\"Build aquifer surfaces from well data using RBF interpolation in ArcGIS Pro, guided by geologic constraints and validation.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\" \/>\n<meta property=\"og:site_name\" content=\"ArcGIS Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/esrigis\/\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@ESRI\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":[\"Article\",\"BlogPosting\"],\"@id\":\"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\"},\"author\":{\"name\":\"Jie Chang\",\"@id\":\"https:\/\/www.esri.com\/arcgis-blog\/#\/schema\/person\/3f65ed3bf464b5a59f1e68c6f849a90e\"},\"headline\":\"Interpolate borehole data to create aquifer top and base surfaces\",\"datePublished\":\"2026-05-01T04:30:41+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.esri.com\/arcgis-blog\/products\/arcgis-pro\/water\/interpolate-borehole-data-to-create-aquifer-top-and-base-surfaces\"},\"wordCount\":10,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.esri.com\/arcgis-blog\/#organization\"},\"keywords\":[\"Aquifers\",\"boreholes\",\"interpolation\",\"radial basis functions\",\"subsurface\"],\"articleSection\":[\"3D Visualization &amp; 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