A summary is given of a fracture model that calculates fracture height as a function of distance from the wellbore for the case of a continuous payzone bounded by zones in which the minimum in situ stress is higher. The model is applicable if the vertical fracture is highly elongated, with length/height ratio ≥ 3.5. The fluid flow therefore is essentially one-dimensional along the fracture length. The flow can be non-Newtonian. Leak-off is included, as well as spurt loss, but pumping rates and injected fluid properties are constant with time. Elastic properties do not vary from one zone to another. The model calculates width profiles in each vertical section of the fracture. Finally, both fracture height and bottomhole pressure are calculated as a function of time.

A comparison is made between the results of this model (ORU model) and the AMOCO, MIT, and TERRA-TEK variable-height models. There are areas of agreement and disagreement. A critical assessment is made of assumptions that differ in the models in an effort to reconcile the models. The conclusion is that the ORU, AMOCO, and TERRA-TEK models are in basic agreement for highly elongated fractures.

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