Shear wave elastography is being increasingly used for multiple applications including investigation of diffuse disease in the liver or kidney and malignancies or neoplasms in the breast and thyroid. It is important to provide robust and accurate reconstructions of shear wave velocity (SWV) for imaging purposes to provide reliable data for diagnosis. One such approach was a two-dimensional method for estimating SWV (Song, et al., Ultrasound Med. Biol. 40, pp. 1343–1355, 2014). This method uses a weighted average using a large window and smaller patches to perform time-domain cross-correlations for the calculation of the SWV. We also implemented a spatial sigmoid weighting to combine reconstruction results from independent reconstructions after directional filtering. We used a Verasonics system equipped with a linear array transducer to conduct a parametric study in phantoms to investigate the effects of the window and patch on image reconstruction metrics. Measurements were made in homogeneous phantoms and in a phantom with cylindrical inclusions of different diameters. Larger windows and patches typically yielded low variability but did not always produce the highest contrast. This investigation is the basis for an adaptive method for reconstructing SWV in soft tissues and choosing optimal parameters for the SWV reconstruction.