The phrase "surging up" refers to an increase or rise in something, and there are several synonyms that can be used to convey this meaning. One synonym for "surging up" is "spiking," which implies a sudden and sharp rise in something, such as sales or interest. Another synonym is "escalating," which suggests a gradual increase or escalation in something, such as tensions or prices. "Soaring" is yet another synonym for "surging up" that conveys a sense of rapid and dramatic upward movement, such as the temperature on a hot summer day. "Surging up" can also be expressed as "ascending," "mounting," "climbing," or "rising".