Horizontal to Vertical Ratio Model (H2VR)

The Horizontal to Vertical Ratio Model (H2VR) is an innovation designed to generate an economic comparison between the installation of horizontal wells and an equivalent array of vertical wells.  This is an economic comparison, but it is just one parameter, albeit the most important one, in a series of decision making steps. Other variables outside the scope of the economics model are more qualitative matters such a) whether or not information as useful as examining the horizontal plane can be achieved and b) the standard issues revolving around access as in – can vertical wells even be installed.

Dr. Richard Laton, of our Scientific Advisory Board, has contributed greatly to this project as has Timothy Havranek of Optima Analytics, an independent consultant in Pittsburgh. In essence, the model delves into the specifics of making the economic comparison. The model will be ready to be used by EN Rx staff to run specific cases for our clients as a service and will be functional in late November, 2019 while being demonstrated at industry events.

These are the steps the model follows.

  1. First it is important to define the client’s preferences for the nature of the vertical well. A checklist will be provided and the definition established. Parameters such as well width, presence of pumps, length of the screened interval, and so forth, will be specified. Then a Zip Code based data base will make cost estimates and this will include cost of drilling as well as the physical well costs.
  2. Once it is known what the vertical well specs and costs are determined, inputs will be made with regard to a ratio of horizontal to vertical coverage using a series of equations derived by others and published in the peer reviewed literature. This, of course, will involve inputs on the site such as depth to groundwater, the treatment interval, transmissivity and so forth. The output then is a ratio such as “One 100 foot section of horizontal well will replace 7.3 vertical wells, a number that of course has to be rounded up or down.
  3. The final step is the generation of a Monte Carlo cost distribution for horizontal installation versus the ratio to vertical wells as determined by the model. Examples of the Monte Carlo analysis can be found in several places including the following: Products/Vertebrae/Economics or under Publications/Comparative Economics by Tim Havranak. A publication entitled Koenigsberg SS, Piatt ER, Robinson LI. New perspectives in the use of horizontal wells for assessment and remediation. Remediation. 2018;28:45–50.

https://doi.org/10.1002/rem.21575, is a full rendition of the process and is also under Publications.

Please contact us to have one of our staff engineers work with you on generating the model output.



Our expertise is in filling data gaps and delivering treatment reagents with segmented well systems. We take assessment and treatment to a new level, transforming Site Conceptual Models and paths to closure.



Used with Vertebrae or other subsurface infrastructure. SP is a self-contained, solar-powered, remotely operating and communications-ready device for site assessment and remediation. It is programmable for pulling gas/water samples for analysis or actual treatment and in reverse can inject reagents.


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